PUBLICATIONS OF RENÉ SCHOTT

     

    Books

    1. Operator Calculus on Graphs: Theory and Applications in Computer Science (with G. Stacey Staples)

      428 pages, Imperial College Press, 2012.

    2. Dynamic Random Walks, Theory and Applications (with N. Guillotin-Plantard)

      280 pages, Elsevier, 2006.

    3. Probabilistic and Statistical Methods in Computer Science (with J.F. Mari)

      252 pages, Kluwer Academic Publishers, 2001.

    4. Stochastic Processes and Operator Calculus on Quantum Groups (with U. Franz)

      230 pages, Kluwer Academic Publishers, 1999.

    5. Algebraic Structures and Operator Calculus (with P. Feinsilver)

      Volume 3: Representations of Lie Groups,

      240 pages, Kluwer Academic Publishers, 1996.

    6. Random Generation of Trees (with L. Alonso)

      230 pages, Kluwer Academic Publishers, 1995.

    7. Algebraic Structures and Operator Calculus (with P. Feinsilver)

      Volume 2: Special Functions and Computer Science, 160 pages,

      Kluwer Academic Publishers, 1994.

    8. Algebraic Structures and Operator Calculus (with P. Feinsilver)

      Volume 1: Representations and Probability Theory, 234 pages,

      Kluwer Academic Publishers, 1993.

    9. Construire les algorithmes (with C. Pair and R. Mohr)

      248 pages, Dunod Informatique, 1988.

     

    Papers published (or accepted for publication) in Journals

    1. On the non-commutative multifractional Brownian motion ( with M. Dozzi),

      "Infinite Dimensional Analysis, Quantum Probability and Related Topics", Vol. 25, No 4, 2240010, 2022.

    2. Analysis of Distributed Systems via Quasi-Stationary Distributions (with N. Champagnat and D. Villemonais)

      " Stochastic Analysis and Applications", Vol 39, Issue 6, 981-998, 2021 (published online, Jan. 19, 2021).

    3. Skorohod and Rough Integration with Respect to the Non-Commutative Fractional Brownian Motion (with A. Deya)

      " ALEA-Latin American Journal of Probability and Mathematical Statistics", (accepted for publication, in press).

    4. New Path Centrality Based on Operator Calculus Approach for Wireless Sensor Network Deployment (with A. Syarif, A. Abouaissa, L. Idoumghar, P. Lorenz and G.S. Staples)

      " IEEE Transactions on Emerging Topics in Computing", Vol 7, Issue 1, 162-173, 2019.

    5. Integration with Respect to the Non-Commutative Fractional Brownian Motion (with A. Deya)

      " Bernoulli", Vol. 25, 3, 2137-2162, 2019.

    6. Krawtchouk Transforms and Convolutions (with P. Fensilver)

      " Bulletin of Mathematical Sciences", https://doi.org/10.1007/s13373-018-0132-2, published online: 22 October 2018.

    7. On Multiplication in q-Wiener Chaoses (with A. Deya)

      " Electronic Communications in Probability", Vol. 23, paper no 1, 1-16, 2018.

    8. On Stochastic Calculus with Respect to q-Brownian Motion (with A. Deya)

      " Journal of Functional Analysis", Vol. 274, Issue 4, 1047-1075, 2018.

    9. Generalized Zeon Algebras: Theory and Applications to Multi-Constrained Path Problems (with G. Stacey Staples)

      " Advances in Applied Clifford Algebras", DOI 10.1007/s00006-015-0595-0, 2015, Vol. 27, Issue 1, 45-57, 2017.

    10. Random Walks on Motion Groups (with C.R.E. Raja)

      " Contemporary Mathematics", Vol. 668, 171-178, AMS Pub., 2016 (http://dx.doi.org/10.1090/comm/668/13403).

    11. Operator Calculus for Multi-Constrained Paths (with J. Ben Slimane, Y.-Q. Song, G. Stacey Staples and E. Tsiontsiou)

      "International Journal of Mathematics and Computer Science", Vol. 10, 1, 69-104, 2015.

    12. Optimizing Simultaneously Transmission Delays and Frequency Assignment of DTV-T Single Frequency Networks (with A. Bedoui, P. Debreux, L. Idoumghar and T. Schott)

      "International Journal on Networking and Communication", Vol. 3, 2015.

    13. Information Transmission under Random Emission Constraints (with F. Comets and F. Delarue)

      "Combinatorics, Probability and Computing", doi:10.1017/S096354831400039X, Published online by Cambridge University Press 04 Sep 2014; Vol.23, Issue 6, 973-1009, 2014.

    14. On the Rough-Paths Approach to Non-Commutative Stochastic Calculus (with A. Deya)

      "Journal of Functional Analysis", Vol. 265, Issue 4, 594-628, 2013.

    15. Operator Calculus and Invertible Clifford Appell Systems: Theory and Application to the n-Particle Fermion Algebra (with G. Stacey Staples)

      "Infinite Dimensional Analysis, Quantum Probability and Related Topics", Vol. 16, N. 1, 2013.

    16. The Poincaré Algebra in the Context of Ageing Systems: Lie Structure, Representations, Appell Systems and Coherent States (with M. Henkel, S. Stoimenov and J. Unterberger)

      "Confluentes Mathematici", Vol.4, N.4, 2012.

    17. Connected Components and Evolution of Random Graphs: An Algebraic Approach (with G.Stacey Staples)

      "Journal of Algebraic Combinatorics", 35, 1, 141-156, 2012.

    18. Complexity of Counting Cycles using Zeons (with G.Stacey Staples)

      "Computers and Mathematics with Applications", 62, 1828-1837, 2011.

    19. Hybrid PSO-SA Type Algorithms for Multi-Modal Function Optimization and Reducing Energy Consumption in Embedded Systems (with L. Idoumghar, M. Idrissi Aouad and M. Melkemi)

      "Applied Computational Intelligence and Soft Computing", Vol. 2011, article ID 138078, 12 pages, 2011.

    20. Nilpotent Adjacency Matrices and Random Graphs (with G.Stacey Staples)

      "Ars Combinatoria", 98, 225-239, 2011.

    21. Dynamic Geometric Graph Processes: Adjacency Operator Approach (with G.Stacey Staples)

      " Advances in Applied Clifford Algebras", 20, 3-4, 893-921, 2010.

    22. Computing Coordinates on Lie Groups (with P. Feinsilver and U. Franz)

      "International Journal of Pure and Applied Mathematics", 60, 4, 371-381, 2010.

    23. Dynamic Random Walks in Clifford Algebras (with G.Stacey Staples)

      "Advances in Pure and Applied Mathematics", 1, 1, 81-115, 2010.

    24. Reductions in Computational Complexity using Clifford Algebras (with G.Stacey Staples)

      " Advances in Applied Clifford Algebras", 20, 1, 121-140, 2010.

    25. Zeons, Lattices of Partitions, and Free Probability (with G.Stacey Staples)

      "Communications in Stochastic Analysis", 4, 3, 311-334, 2010.

    26. Operator Homology and Cohomology in Clifford Algebras (with G.Stacey Staples)

      "CUBO, A Mathematical Journal", 11, 2, 299-326, 2010.

    27. Finite-Dimensional Calculus (P. Feinsilver)

      "Journal of Physics A: Math.Theor." 42, 375214, 2009.

    28. Two Distributed Algorithms for the Frequency Assignment Problem in the Field of Radio Broadcasting (with L. Idoumghar)

      "IEEE Transactions on Broadcasting", Vol. 55, Issue 2, Part 1, 223-229, 2009.

    29. Large Deviations Analysis for Distributed Algorithms in an Ergodic Markovian Environment (with F. Comets and F. Delarue)

      "Applied Mathematics and Optimization", 3, 3, 341-396, 2009.

    30. Recurrent Random Walks on Homogeneous Spaces of p-adic Algebraic Groups of Polynomial Growth (with C.R.E. Raja)

      "Archiv der Mathematik", 91, 379-384, 2008.

    31. Random Walks in Clifford Algebras of Arbitrary Signature as Walks on Directed Hypercubes (with G.Stacey Staples)

      "Markov Processes and Related Fields", 14, 515-542, 2008.

    32. Nilpotent AdJacency Matrices, Random Graphs and Quantum Random Variables (with G.Stacey Staples)

      "Journal of Physics A: Math.Theor." 41, 15, 2008.

    33. Impact of Link Unreliability and Asymmetry on the Quality of Connectivity in Large-scale Sensor Networks (with Y. Li, Y.Q. Song, Z. Wang and Y. Sun)

      " Sensors", 8, 10, 6674-6691, 2008.

    34. Dynamic Quantum Bernoulli Random Walks (with N. Guillotin-Plantard)

      "Infinite Dimensional Analysis, Quantum Probability and Related Topics", 11, 2, 213-229, 2008.

    35. Generating Orthogonal Polynomials and their Derivatives using Vertex|Matching-Partitions of Graphs (with P. Feinsilver and J. McSorley)

      "Ars Combinatoria", 87, 75-95, 2008.

    36. Partitions and Clifford Algebras (with G.Stacey Staples)

      "European Journal of Combinatorics", 29, 1133-1138, 2008.

    37. Parabola Separation Queries and their Applications to Stone Throwing (with O. Cheong, H. Everett, H-S. Kim and S. Lazard)

      "International Journal of Computational Geometry and Applications", 17, 4, 349-360, 2007.

    38. Inversion of Analytical Functions via Canonical Polynomials: a Matrix Approach (with P. Feinsilver )

      "Mathematics in Computer Science", 1, 2, 239-251, 2007.

    39. Distributed Algorithms in an Ergodic Markovian Environment (with F. Comets and F. Delarue)

      "Random Structures and Algorithms", 30, 1-2, 131-167, 2007.

    40. Shuffle of Words and Araucaria Trees (with J.C. Spehner)

      "Fundamenta Informaticae", 74, 4, 579-601, 2006 and erratum 81, 4, 485-490, 2007.

    41. Operator Calculus and Appell Systems on Clifford Algebras (with G.Stacey Staples)

      "International Journal of Pure and Applied Mathematics", 31, 4, 427-446, 2006.

    42. Dual Vector Fields II: Calculating the Jacobian (with P. Feinsilver)

      "Banach Center Publications", 73, 141-152, 2006.

    43. Data Structures with Dynamical Random Transitions (with C. Dombry, N. Guillotin-Plantard and B. Pinçon)

      "Random Structures and Algorithms", 28, 4, 403-426, 2006.

    44. Dynamic Random Walks on Heisenberg Groups (with N. Guillotin-Plantard)

      "Journal of Theoretical Probability", 19, 2, 377-395, 2006.

    45. Average-case Analysis of the Chip Problem (with L. Alonso, P. Chassaing and E.M. Reingold)

      "International Journal of Mathematics and Computer Science", 1, 37-61, 2006.

    46. Approximations of Functionals of some Modulated-Poisson Voronoi Tessellations with Applications to Modeling for Communication Networks (with B. Blaszczyszyn)

      "Japan Journal of Industrial and Applied Mathematics", 22, 2, 179-204, 2005.

    47. Non-Gaussian Malliavin Calculus on Real Lie Algebras (with U. Franz and N. Privault)

      "Journal of Functional Analysis", 218, 2, 347-372, 2005.

    48. The Worst-case Chip Problem (with L. Alonso, P. Chassaing and E.M. Reingold)

      "Information Processing Letters", vol.89, Issue 6, 303-308, 2004.

    49. Two Optimal Parallel Algorithms on the Commutation Class of a Word (with J.C. Spehner)

      "Theoretical Computer Science", 324, 107-131, 2004.

    50. Sorting with Unreliable Comparisons: A Probabilistic Analysis (with L. Alonso, P. Chassaing, F. Gillet, S. Janson, and E.M. Reingold)

      "Combinatorics, Probability and Computing", vol. 13, Issue 4-5, 419-449, 2004.

    51. Representations of the Schrödinger Algebra and Appell Systems (with P. Feinsilver and Y. Kocik)

      "Progress of Physics", 52, 4, 343-359, 2004.

    52. Application of Markov Decision Processes to the Frequency Assignment Problem (with J.Y. Greff and L. Idoumghar)

      "Journal on Applied Artificial Intelligence", 18, 8, 761-773, 2004.

    53. Approximate Decomposition of some Modulated-Poisson Voronoi Tessellations (with B. Blaszczyszyn)

      "Advances in Applied Probability", 35, 4, 847-862, 2003.

    54. Berezin Quantization of the Schrödinger Algebra (with P. Feinsilver and Y. Kocik)

      "Infinite Dimensional Analysis, Quantum Probability and Related Topics", 6, 1, 57-72, 2003.

    55. Distributed Algorithms with Dynamical Random Transitions (with N. Guillotin-Plantard)

      "Random Structures and Algorithms", 21, 3-4, 371-396, 2002.

    56. Hardware Realization of Krawtchouk Transform using VHDL Modeling (with N. Botros, P. Feinsilver and J. Yang)

      "IEEE Transactions on Industrial Electronics", 49, 6, 1306-1312, 2002.

    57. New Hybrid Genetic Algorithms for the Frequency Assignment Problem (with M. Alabau and L. Idoumghar)

      "IEEE Transactions on Broadcasting", 48, 1, 27-34, March 2002.

    58. On the Tree Inclusion Problem (with L. Alonso)

      "Acta Informatica", 37, 9, 653-670, 2001.

    59. Malliavin Calculus and Skorohod Integration for Quantum Stochastic Processes (with U. Franz and R. Léandre)

      "Infinite Dimensional Analysis, Quantum Probability and Related Topics", 4, 1, 11-38, 2001.

    60. The Class I0 on Abstract Structures (with D. Neuenschwander)

      "J. Math. Sci.", 99, 4, 1463-1468, 2000.

    61. Lévy Processes on Uq (G) as Infinitely Divisible Representations (with V.K. Dobrev, H.D. Doebner and U. Franz)

      "Contemporary Mathematics", 261, 181-192, 2000.

    62. Lie Response to Signal with Noise (with P. Feinsilver)

      "Contemporary Mathematics", 261, 15-22, 2000.

    63. On Solving Evolution Equations on Lie Groups (with P. Feinsilver and U. Franz)

      "Journal of Physics A: Mathematics and General", 33, 2777-2798, 2000.

    64. Vector Fields and their Duals (with P. Feinsilver)

      "Advances in Mathematics", 149, 182-192, 2000.

    65. Phase Retrieval for Distributions on Quantum Groups and Braided Groups (with U. Franz and D. Neuenschwander)

      "Journal of Theoretical Probability", 12, 2, 585-594, 1999.

    66. Computing Representations of a Lie Group via the Universal Enveloping Algebra (with P. Feinsilver)

      "Journal of Symbolic Computation", 26, 3, 329-338, 1998.

    67. Diffusions on Braided Spaces (with U. Franz).

      " Journal of Mathematical Physics", 39, 5, 2748-2762, 1998.

    68. Formal Power Series, Operator Calculus, and Duality on Lie Algebras (with P. Feinsilver)

      " Discrete Math.", 180, 1-3, 157-171, 1998.

    69. Evolution Equations and Lévy Processes on Quantum Groups (with U. Franz)

      "Journal of Physics A: Mathematics and General", 31, 1395-1404, 1998.

    70. A Note on Domains of Attraction for q-deformed Random Variables (with D. Neuenschwander)

      "Prob. Math. Stat.", 17, 2, 387-394, 1997.

    71. Uniform Generation of a Schröder Tree (with L. Alonso and J.L. Rémy)

      "Information Processing Letters", 64, 6, 305-308, 1997.

    72. Data Structures Maxima (with G. Louchard and C. Kenyon)

      "SIAM Journal on Computing", 26, 4, 1006-1042, 1997.

    73. Gauss Laws in the Sense of Bernstein and Uniqueness of Embedding into Convolution Semigroups on Quantum Groups and Braided Groups (with U. Franz and D. Neuenschwander)

      "Probability Theory and Related Fields", 109, 101-127, 1997.

    74. Duality and Stochastic Multiplicative Processes on Quantum Groups (with U. Franz and P. Feinsilver)

      "Journal of Theoretical Probability", 10, 3, 795-818, 1997.

    75. The Average-Case Complexity of Determining the Majority (with L. Alonso and E.M. Reingold)

      "SIAM Journal on Computing", 26, 1, 1-14, 1997.

    76. A Linear Time Algorithm for the Generation of Trees (with L. Alonso and J.L. Rémy)

      "Algorithmica", 17, 2, 162-182, 1997.

    77. A Markovian Concurrency Measure (with D. Geniet and L. Thimonier)

      RAIRO Informatique Theorique et Applications, 30, 4, 295-304, 1996.

    78. A Combinatorial Interpretation and Operator Calculus of Lommel Polynomials (with P. Feinsilver and J.Mac Sorley)

      "Journal of Combinatorial Theory", Series A, 75, 1, 163-171, 1996.

    79. Optimal Operations on Red-Black trees (with L.Chen)

      "International Journal of Foundations of Computer Science", 7, 3, 227-239, 1996.

    80. The Average Complexity of a Coin-Weighing Problem (with L. Alonso and P. Chassaing)

      "Random Structures and Algorithms", 9, 1-2, 1-14, 1996.

    81. Efficient Generation of Commutation Classes (with J.C. Spehner)

      "Journal of Computing and Information", 2, 1, 1068-1085, 1996.

      Special Issue: Proceedings of Eighth International Conference of Computing and Information (ICCI'96), Waterloo, Canada, June 19-22, 1996.

    82. A Parallel Algorithm for the Generation of a Permutation and Applications (with L. Alonso)

      "Theoretical Computer Science", 159, 1, 15-28, 1996.

    83. Differential Relations and Recurrence Formulas for Representations of Lie Groups (with P. Feinsilver)

      "Studies in Applied Mathematics", 96, 4, 387-406, 1996.

    84. Operator Calculus Approach to Orthogonal Polynomial Expansions (with P. Feinsilver)

      "Journal of Computational and Applied Mathematics", 66, 185-199, 1996.

    85. Parallel Searching in the Plane (with R.Baeza-Yates)

      "Computational Geometry: Theory and Applications", 5, 143-154, 1995.

    86. Multidimensional Divide-and-Conquer Maximin Recurrences (with L. Alonso and E.M. Reingold)

      "SIAM Journal on Discrete Mathematics", 8, 3, 428-447, 1995.

    87. On the Local and Asymptotic Behavior of Brownian Motion on Simply Connected Nilpotent Lie Groups (with D. Neuenschwander)

      "Journal of Theoretical Probability", 8, 4, 795-806, 1995.

    88. A Methodology for Tansforming Fowcharts of Sequential Programs into Parallel ones using FIFO Nets (with A. Choquet and D. Geniet )

      "Journal of Computing and Information", 1, 529-545, 1995.

      Special Issue: Proceedings of the 7th Int. Conf. of Computing and Information (ICCI'95), Peterborogh, Canada, July 1995, W.W. Koczkodaj, Editor, 529-545.

    89. Random Walks, Heat Equation and Distributed Algorithms (with G. Louchard, M. Tolley and P. Zimmermann)

      "Journal of Computational and Applied Mathematics", 53, 243-274, 1994.

    90. Determining the Majority (with L. Alonso and E.M. Reingold)

      "Information Processing Letters", 47, 253-255, 1993.

    91. Representations and Stochastic Processes on Groups of Type-H (with P. Feinsilver and Y. Kocik)

      "Journal of Functional Analysis", 115, 1, 146-165, 1993.

    92. Dynamic Algorithms in D.E.Knuth's Model: a Probabilistic Analysis (with G. Louchard and B. Randrianarimanana)

      "Theoretical Computer Science ", 93, 201-225, 1992.

    93. Applications of Random Sampling to on-line Algorithms in Computational Geometry
      (with J.D. Boissonnat, O. Devillers, M. Teillaud and M. Yvinec)

      "Discrete and Computational Geometry" 8, 51-71, 1992.

    94. Appell Systems on Lie Groups (with P. Feinsilver)

      "Journal of Theoretical Probability", 5 , 2 , 251-281, 1992.

    95. On Bessel Functions and Rate of Convergence of Zeros of Lommel Polynomials

      (with P. Feinsilver)

      " Mathematics for Computation", A.M.S. Pub. 59, 199, 153-156, 1992.

    96. Probabilistic Analysis of Some Distributed Agorithms (with G. Louchard)

      "Random Structures and Algorithms", 2, 2, 151-186, 1991.

    97. Analysis of Dynamic Agorithms in D.E.Knuth's Model (with J.Françon and B.Randrianarimanana)

      "Theoretical Computer Science", 72, 147-167, 1990.

    98. Non-overlapping Partitions, Continued Fractions, Bessel Functions and a Divergent Series (with P. Flajolet)

      "European Journal of Combinatorics", 11, 421-432, 1990.

    99. Special Functions and Infinite-dimensional Representations of Lie groups (with P. Feinsilver)

      "Mathematische Zeitschrift", 203, 173-191, 1990.

    100. Iterated Stochastic Integrals in non Linear Control Theory

      "Algebraic and Geometric Methods in Non linear Control Theory", 499-510, 1986, D. Reidel Pub.Company.

    101. Une loi du Logarithme Itéré pour Certaines Intégrales Stochastiques,

      "Annales de l'Institut E.Cartan", 7, 147-161, 1983.

    102. Marches Aléatoires sur les Espaces Homogènes de Certains Groupes de Type Rigide (with L. Gallardo)

      "Astérisque" 74, 149 -170, 1980.

    103. Un Théorème de Structure pour les Sous-groupes Fermés Connexes des Groupes Extensions Compactes de Groupes Nilpotents (with L. Gallardo),

      "Lecture Notes in Math." 739, 283-292, Springer Verlag, 1979.

    104. Marches Aléatoires sur les Espaces Homogènes des Groupes de Lie Nilpotents Simplement Connexes (with D. Prévot)

      "Lecture Notes in Math." 739, 404-426, Springer Verlag, 1979.

     

    Notes to the proceedings of the french Academy of Sciences, Paris (C.R.A.S.)

    1. Smoothness of Wigner Densities on the Affine Algebra (with U. Franz and N. Privault)

      Note aux C.R.A.S., t. 337, n. 9, p. 609-614, 2003.

    2. Malliavin Calculus for Quantum Stochastic Processes (with U. Franz and R. Léandre)

      Note aux C.R.A.S., t. 328, Série I, p. 1061-1066, 1999.

    3. Gauss Laws in the Sense of Bernstein and Uniqueness of Embedding into Convolution Semigroups on Quantum groups and Braided Groups
      (with U. Franz and D. Neuenschwander)

      Note aux C.R.A.S., t. 324, Série I, p. 827-832, 1997.

    4. Characterization of Gauss Measures on Nilpotent Lie Groups and Symmetric Spaces (with D. Neuenschwander and B. Roynette)

      Note aux C.R.A.S., t. 324, Série I, p. 87-92, 1997.

    5. Feynman-Kac Formula and Appell Systems on Quantum Groups (with P. Feinsilver and U. Franz)

      Note aux C.R.A.S., t. 321, p. 1615-1619, 1995.

    6. Croissance et Moyennabilité des Espaces Homogènes,

      Note aux C.R.A.S., t. 292, 02-11-1981.

    7. Une loi du Logarithme Itéré pour Certaines Intégrales Stochastiques,

      Note aux C.R.A.S., t. 292, 26-01-1981.

    8. Marches Aléatoires sur les Espaces Homogènes de Certains Groupes de Type Rigide (with L. Gallardo)

      Note aux C.R.A.S., t. 288, 21-05-1979.

    9. Marches Aléatoires sur les Espaces Homogènes des Groupes de Lie Nilpotents Simplement Connexes,

      Note aux C.R.A.S., t. 287, 18-09-1978.

     

    Book Chapters

    1. On the Complexity of Cycle Enumeration for Simple Graphs, (with S. Staples)

      Guide to Geometric Algebra in Practice, Springer Verlag 2011, Leo Dorst and Joan Lasenby (editors)

    2. Computational Complexity Reductions using Clifford Algebras (with S. Staples),

      Geometric Algebra Computing for Engineering and Computer Science, Springer Verlag 2010, E. Bayro-Corrochana and G. Scheuermannn (editors)

    3. Krawtchouk Polynomials and Finite Probability Theory (with P. Feinsilver),

      Development of the Mathematical Ideas of Mykhailo Kravchuk, N. Virchenko et al. (Editors), Pub. Shevchenko Scientific Society, Kyiv-New York, 2004.

       

    Survey papers

    1. Rough-Paths and Non-Commutative Probability (invited lecture),,

      Proceedings of QP 38 (38th International Conference on Quantum Probability and Related Topics, Tokyo, Japan, October 1-7, 2017) (to appear).

    2. The Bernstein and Skitovic-Darmois Characterization Theorems for Gaussian Distributions on Groups, Symmetric Spaces, and Quantum Groups (with D. Neuenschwander),

      Expositiones Mathematica, 15, 289-314, 1997.

    3. Representations and Probability Theory (invited lecture),

      Proceedings of the 11th Int. Conf. "Probability Measures on Groups and Related Structures", Oberwolfach, Germany, 305-331, World Scientific Pub. 1995.

    4. Combinatorial Techniques in Computer Science (invited lecture),

      "Bulletin Soc. Math. de Belgique", 42, 2, ser.B, 141-155, 1990.

    5. Haar Measures and Random Walks on Homogeneous Spaces (invited lecture),

      Colloquia Mathematica, Janos Bolyai Societatis, 49, 787-797, 1985, North Holland Pub.Company.

    6. Random Walks on Homogeneous Spaces (invited lecture),

      Proceedings Int. Conf. " Probability measures on groups ", Oberwolfach 1983, Germany, Lecture Notes in Math. 1064, 564-575, Springer Verlag.

     

    Communications at international conferences with program committee and proceedings

    1. Operator Calculus Algorithms for Multi-Constrained Routing in Wireless Sensor Networks (with B. Nefzi, Y.-Q. Song, G. Stacey Staples and E. Tsiontsiou),

      Proceedings of ACM MobiHoc 2015, June 22-25, Hongzhou, China, 367-376, ACM Pub.

    2. Steps Towards the Design of Hybrid Metaheuristics for the Multi-Objective Frequency Assignment Problem in Broadcasting (with A. Bedoui, P. Debreux, L. Idoumghar, T. Schott),

      Proceedings of IEEE-ISTT 2014, November 24-26, 2014, Langkawi, Malaysia, 1-6, IEEE Pub.

    3. Operator Calculus Approach to Minimal Paths: Precomputed Routing in a Store-and-Forward Satellite Constellation (with H. Cruz-Sanchez, Y.Q. Song and G. Stacey Staples),

      Proceedings of IEEE GLOBECOM 2012, December 3-7, Anaheim, California, USA, 3438-3443, IEEE Pub.

    4. Clifford Operator Calculus: Homology, Cohomology, and Appell Systems (with G. Stacey Staples),

      Proceedings of 9th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Weimar, Germany, 15-20 July 2011.

    5. Hybrid Heuristics for Optimizing Energy Consumption in Embedded Systems (with M. Idrissi Aouad and O. Zendra),

      Proceedings of ISCIS 2010 (25th International Symposium on Computer and Information Sciences, London, UK, September 22-24, 2010).

    6. Particle Swarm Optimization Algorithm with Mutation Operator for Global Optimization Problems (with L. Idoumghar, M. Idrissi Aouad and M. Melkemi),

      Proceedings of ICTAI 2010 (22th IEEE-International Conference on Tools with Artificial Intelligence, Arras, France, October 27-29, 2010), 35-42.

    7. Krawtchouck Transforms (with P. Feinsilver),

      Proceedings of AISC 2010 (10th International Conference on Artificial Intelligence and Symbolic Computation, Paris, France, July 5-6, 2010), Lecture Notes in Artificial Intelligence 6167 "Intelligent Computer Mathematics", 64-75, Springer Verlag, 2010.

    8. Genetic Heuristics for Reducing Memory Energy Consumption in Embedded Systems (with M. Idrissi Aouad and O. Zendra),

      Proceedings of ICSOFT 2010 (5th International Conference on Sofware and Data Technologies, Athens, Greece, July 22-24, 2010).

    9. Tabu Search Heuristic for Scratch-Pad Memory Management (with M. Idrissi Aouad and O. Zendra),

      Proceedings of ICSET 2010 (International Conference on Software Engineering and Technology, Roma, Italy, April 28-30, 2010), vol.64, 386-390.

    10. Tabu Search Type Algorithms for the Multiprocessor Scheduling Problem (with L. Cucu and L. Idoumghar ),

      Proceedings of AIA 2010 (10th IASTED, International Conference on Artificial Intelligence and Applications, Innsbruck, Austria, Feb. 15-17, 2010), 1-5, IASTED Pub.

    11. Deploying Wireless Sensors for Differentiated Coverage and Probabilistic Connectivity (with Y. Li, Y-Q. Song, and Y-H. Zhu)

      Proceedings of IEEE WCNC 2010 (International IEEE Wireless Communications & Networking Conference, Sydney, Australia, April 18-21, 2010).

    12. A Novel Hybrid Evolutionary Algorithm for Multi-modal Function Optimization and Engineering Applications (with L. Idoumghar and M. Melkemi),

      Proceedings of ASC 2009 (13th IASTED, International Conference on Artificial Intelligence and Soft Computing, Palma de Mallorca, Spain, September 7-9, 2009) 87-93, IASTED Pub.

    13. Probabilistic Estimation of Response Times through Large Deviations (with L. Cucu and N. Navet),

      Proceedings of 28th IEEE Real-Time Symposium (RTSS 2007), Tucson, Arizona, USA, December 3-6, 2007, 45-48.

    14. Contributions to the Multiprocessor Scheduling Problem (with B. Chauvière and D. Geniet),

      Proceedings of 3rd IASTED International Conference on Computational Intelligence (Banff, Canada, July 2-4, 2007), 55-60, IASTED Pub.

    15. Assesing the Risk and Return of Financial Trading Systems-a Large Deviation Approach (with N. Navet),

      Proceedings of 6th International Conference on Computational Intelligence in Economics and Finance (CIEF 2007), Salt-Lake City, USA, July 18-24, 2007.

    16. Clifford Algebras, Random Graphs, and Quantum Random Variables (with G. Stacey Staples),

      Proceedings of International Conference on Quantum Stochastics and Information, Nottingham July 15-22, 2006, 87-98, World Scientific, 2008.

    17. Operator Calculus Approach to Solving Analytic Systems (with P. Feinsilver),

      Proceedings of AISC 2006 (8th International Conference on Artificial Intelligence and Symbolic Computation), Beijing, China, September 20-22, 2006, Lecture Notes in Artificial Intelligence 4120, 170-180, Springer Verlag.

    18. A New Hybrid GA-MDP Algorithm for the Frequency Assignment Problem (with L. Idoumghar),

      Proceedings of ICTAI'06 (18th IEEE International Conference on Tools with Artificial Intelligence), Washington, DC, November 13-15, 2006, 18-25, IEEE Pub.

    19. On the Dynamical Symmetric Algebra of Ageing: Lie Structure, Representations and Appell Systems (with M. Henkel, S. Stoimenov and J. Unterberger),

      Proceedings of 26th International Conference on Quantum Probability and Infinite Dimensional Analysis, Levico, Italy, Feb. 2005, 233-240, World Scientific, 2007.

    20. On the Minimal Automaton of the Shuffle of Words and Araucarias (with J.C. Spehner),

      Proceedings of MCU2004 (International Conference on Machines, Computations and Universality), St Petersburg, Russia, September, 21-26, 2004, Lecture Notes in Computer Science 3354, 316-327, Springer Verlag.

    21. Approximations of Functionals of some Modulated-Poisson Voronoi Tessellations with Applications to Modeling of Communication Networks (with B. Blaszczszyn),

      Proceedings of VD2004 (International Symposium on Voronoi Diagrams in Science and Engineering), Tokyo, September 13-15, 2004, 11-24, Tokyo University Press.

    22. Dual Representations for the Schrödinger Algebra (with P. Feinsilver),

      Proceedings of 24th International Conference on Quantum Probability and Related Topics, Greifswald, Germany, June 2003, 201-215, World Scientific, 2005.

    23. Using Markov Decision Processes to Solve the Frequency Assignment Problem (with J.Y. Greff and L. Idoumghar),

      Proceedings of ASC 2002 (Sixt IASTED International Conference on Artificial Intelligence and Soft Computing), Banff, Canada, July 17-19, 2002, 552-557, Acta Press.

    24. New Hybrid Genetic Algorithms for the Frequency Assignment Problem (with M. Alabau and L. Idoumghar),

      Proceedings of ICTAI 2001 (13th IEEE International Conference on Tools with Artificial Intelligence), Dallas, Texas, November 7-9, 2001, 136-142, IEEE Pub.

    25. A New Decomposition Technique for Solving Markov Decision Processes (with P. Laroche and Y. Boniface),

      Proceedings of SAC 2001 (2001 Symposium on Applied Computing, Las Vegas, USA, March 11-14), 12-16, ACM Pub.

    26. Symbolic Computation of Appell Systems on the Schrödinger Algebra (with P. Feinsilver),

      Proceedings of RIMS Symposium on Algebraic Systems, Languages and Computation, Kyoto, Japan, 2000, 59-66, Ed. M. Ito, RIMS 1166.

    27. Two Optimal Parallel Algorithms on the Commutation Class of a Word (with J.C. Spehner),

      Proceedings of International Conference on Words, Languages and Combinatorics III (ICWLC'2000), Kyoto, Japan,March 2000, 403-419, Ed. M. Ito and T. Imaoka, World Scientific 2003.

    28. Lévy Processes on Uq (G) (with V.K. Dobrev, H.D. Doebner and U. Franz)

      Proceedings of III International Workshop on Lie Theory and its Applications in Physics, Clausthal-Zellerfeld, Germany, July 1999, 280-292, Eds. H.D. Doebner, V.K. Dobrev, and J. Hilgert, World Scientific Pub., 2000.

    29. Mobile Robotics Planning Using Abstract Markov Decision Processes (with P. Laroche and F. Charpillet),

      Proceedings of ICTAI'99 (11th IEEE Int. Conf on Tools for Artificial Intelligence), 299-306, 1999. IEEE Pub.

    30. Explicit Computation of Solutions of Heat Equations on Some Lie Groups (with P. Feinsilver and U. Franz),

      Proceedings of II International Workshop on Lie Theory and its Applications in Physics, Clausthal-Zellerfeld, Germany, July 1997, 275-299 , Eds. H.D. Doebner, V.K. Dobrev, and J. Hilgert, World Scientific Pub., 1998.

    31. Hardware Realization of Krawtchouk Transform utilizing VDHL Modeling (with N. Botros, P. Feinsilver and J. Yang)

      Proceedings of IEEE-Instrumentation and Measurement Conference, Ottawa, Canada, May 19-21, 1997, 172-177, IEEE Pub.

    32. On the Computation of Polynomial Representations of Nilpotent Lie Groups: A Symbolic Mathematical Approach (with P. Feinsilver and U. Franz)

      Proceedings of 1997 ACM Symposium on Applied Computing (SAC'97), Feb. 28-March 2, San José, USA, 537-539, ACM Pub.

    33. Efficient Generation of Commutation Classes (with J.C. Spehner)

      Proceedings of Eighth International Conference of Computing and Information (ICCI'96), Waterloo, Canada, June 19-22, 1996, 1068-1085.

    34. Blow Up Behaviour of a Stochastic Partial Differential Equation of Reaction-Diffusion Type

      (with C. Bandle and M. Dozzi)

      Israël Mathematical Conference Proceedings, vol. 10, 27-33, 1996, AMS Pub.

    35. Implementing Non-linear Constraints with Cooperative Solvers (with E. Monfroy and

      M. Rusinowitch)

      Proceedings of the ACM-Symposium on Applied Computing (SAC'96), Feb. 1996, Philadelphia, USA, 63-72, ACM Pub.

    36. Diffusions on Braided Spaces (with U. Franz)

      Proceedings of the IV "Wigner Symposium on Group Theory and its Applications", Mexico, July 1995, 239-242, Eds. N.M. ATAKISHIYEV, T.H. SELIGNAN, and K.B. WOLF, World Scientific Pub. 1996.

    37. An Operator Calculus Approach to the Evolution of Dynamic Data Sructures (with P. Feinsilver)

      Proceedings of MFCS'95 (Mathematical Fundations of Computer Science), Prague, August 1995, Lecture Notes in Computer Science (LNCS) 969, 574-586, Springer Verlag, 1995.

    38. A Methodology for Tansforming Fowcharts of Sequential Programs into Parallel ones using FIFO Nets (with A. Choquet and D. Geniet )

      Proceedings of the 7th Int.Conf. of Computing and Information (ICCI'95), Peterborogh, Canada, July 1995, W.W. Koczkodaj, Editor, 529-545.

    39. Formal Power Series, Operator Calculus, and Duality on Lie Algebras (with P. Feinsilver).

      Proceedings of FPSAC'95, Paris, May 1995, 221-232, Editeurs : B. Leclerc et J.Y. Thibon, Publication Langue Française, 1995.

    40. Random Generation of Colored Trees (with L. Alonso)

      Proceedings of LATIN'95 (Second Int.Sympos. on Theor.Comp.Sc., April 95, Valparaiso, Chile), LNCS 911, 16-35, Springer Verlag, 1995.

    41. Duality and Multiplicative processes on Quantum groups (with P. Feinsilver and U. Franz)

      Proceedings of the International Conference on "Nonlinear, Deformed and Irreversible Quantum Systems", H.D. Doebner et al., editors, World Sci., 29-36, 1995.

    42. Random Unlabelled Trees Revisited (with L. Alonso)

      Journal of Computing and Information, vol.1, no.1. Special Issue: Proc. of the 6th Int.Conf. of Computing and Information, 1994, (ICCI'94), 1313-1328.

    43. Orthogonal Polynomial Expansions via Fourier Transforms (with P. Feinsilver)

      Proceedings of ICCAM'94 (Sixt Int.Conf. on Computation and Applied Math.) Leuven, Belgium, July 1994, also available as INRIA Report 1745, 1992.

    44. Adding Local Scheduling Mechanisms to FDDI for Time Critical Communications

      (with Y.Q. Song, J.B. Martyr and F. Simonot)

      Proceedings of IEEE-IECON'94 (20th Int.Conf. on Ind.Elec.Contr. and Inst.), Bologna, Italy, September 1994, 1190-1195, IEEE Pub.

    45. On the Tree Inclusion Problem (with L. Alonso)

      Proceedings MFCS'93 (Mathematical Fundations of Computer Science, Gdansk, Poland, Aug. 1993), LNCS 711, 211-220, Springer Verlag.

    46. Regular Approximations to Shuffle Products of Context-free Languages, and Convergence of their Generating Functions (with R.S. Maier)

      Proceedings FCT'93 (9th International Conference on "Fundamentals of Computation Theory", Szeged, Hungary Sept. 1993), LNCS 710, 352-362, Springer Verlag.

    47. Optimal Operations on Red-black Trees (with L. Chen)

      Proceedings ICCI'93 (Int. Conf. on Computation and Information, Sudbury, Ontario, Canada, May 1993), 529-533, IEEE Computer Society Press.

    48. Exhaustion of Shared Memory: Stochastic Results (with R. Maier)

      Proceedings WADS'93, (Montréal, Canada, Aug. 1993), LNCS 709, 494-505, Springer Verlag.

    49. Parallel Searching in the Plane (with R. Baeza-Yates)

      Proceedings SCCC'92 (Santiago, Chile, Oct. 1992), 269-279.

    50. Data Structures Maxima (with G. Louchard and C. Kenyon)

      Proceedings FCT'91 (8th International Conference on "Fundamentals of Computation Theory", Berlin Sept. 1991), LNCS 529, 339-349, Springer Verlag.

      Also available as Rapport INRIA 1394, 1991.

    51. On-line geometric algorithms with good expected behaviours (with J.D. Boissonnat, O. Devillers, M. Teillaud, M. Yvinec)

      Proceedings of 13th World Congress on Computation and Applied Math, 137-139, 1991

    52. Probabilistic Analysis of Some Distributed Agorithms (with G. Louchard)

      Proceedings CAAP'90, LNCS 431, 239-253, Springer Verlag.

    53. A Markovian Concurrency Measure ( with D. Geniet and L. Thimonier )

      Proceedings CAAP'90, LNCS 431, 177-190, Springer Verlag.

    54. Krawtchouck Prolynomials and finite Probability Theory (with P. Feinsilver)

      Proceedings, 10th Int.Conf." Probability Measures on Groups", Oberwolfach, Germany, 1990, 129-136, Plenum Pub.

    55. Dynamic Algorithms in D.E. Knuth's Model: A Probabilistic Analysis (with G. Louchard et B. Randrianarimanana)

      Proceedings ICALP'89, LNCS 372, 521-533, Springer Verlag.

    56. Dynamic Data Sructures with Finite Population: A Combinatorial Analysis (with J. Françon and B. Randrianarimanana)

      Proceedings FCT'89, LNCS 380, 162-174, Springer Verlag.

    57. Discs and other related Data Structures (with F. Luccio et M. Régnier)

      Proceedings WADS'89, LNCS 382, 192-205, Springer Verlag.

    58. Helpful Heuristics for Motion Planning (with H. Amet)

      Proceedings ICSIS V ( 5th Int.Symposium on Computer and Information Science, Izmir, Oct. 30, Nov. 1 1989 ), vol.2, 1049-1058.

    59. Analysis of Dynamic Algorithms in D.E.Knuth's model (with J. Françon and B. Randrianarimanana)

      Proceedings CAAP'88, LNCS 299, 72-88, Springer Verlag.

    60. Operators, Stochastic Processes, and Lie groups (with P. Feinsilver)

      Proceedings Int.Conf. " Probability Measures on Groups", Oberwolfach, Germany, 1988, Lecture Notes in Math. 1379, 75-85, Springer Verlag.

    61. An Operator Approach to Processes on Lie groups (with P. Feinsilver)

      Proceedings Int.Conf. " Probability Theory on Vector Spaces ", Lancut, Poland, 1987, Lecture Notes in Math. 1391, 59-65, Springer Verlag.

    62. On Mobile Robots: a Probabilistic Model for the Manipulation and Representation of Spatial Uncertainty,

      Proceedings I.E.E.E. Int. Conf. on Robotics and Automation, Raleigh, 1987, 409-415.

    63. Tail Probability of some Random Series,

      Proceedings Int. Conf. " Probability measures on groups ", Oberwolfach, Germany, 1983, Lecture Notes in Math. 1064, 564-575, Springer Verlag.

     

    Communications at national conferences with program committee and proceedings

    1. Une Nouvelle Approche Hybride pour Résoudre le Problème d'Allocation de Fréquences (with M. Alabau and L. Idoumghar)

      Actes du "13ème Congrès RFIA'2002", Angers, janv. 2002, 241-248, AFRIF-AFIA Pub.

    2. A New Hybrid Genetic Algorithm for the Graph Colouring Problem (with M. Alabau and L. Idoumghar)

      Proceedings of Third Colloquium on Computational Telecommunications (ALGOTEL'2001), Saint Jean de Luz, France, May 28-30, 2001, 111-117, Publication INRIA Lorraine.

    3. Décomposition de Processus Décisionnels de Markov sur Machine Parallèle MIMD à Mémoire Partagée (with Y. Boniface and P. Laroche)

      Actes des Rencontres Francophones du Parallélisme (RENPAR'2000), 19-24.

    4. Décomposition d'un Processus Décisionnel de Markov à l'Aide d'un Graphe (with F. Charpillet and P. Laroche)

      Actes du "12ème Congrès RFIA'2000", Paris, fév. 2000, volume 1, 515-523, AFRIF-AFIA Pub.

    5. Recherche en Parallèle dans le Plan (with R. Baeza-Yates)

      Actes du "9ème Congrès AFCET, RFIA", Paris, janv.1994.

    6. On-line Geometric Algorithms with Good Expected Behaviours (with J.D. Boissonnat, O. Devillers, M. Teillaud, M. Yvinec)

      Actes des " Journées de Géométrie Algorithmique" Sophia Antipolis, Juin 1990, Publication INRIA, 7-13.

    7. Spécification Opérationnelle des Contraintes Géométriques (with E. Monfroy and M. Rusinowich)

      Actes des " Journées de Géométrie Algorithmique" Sophia Antipolis, juin 1990, Publication INRIA, 41-50.

    8. Calcul Dynamique du Diagramme de Voronoï d'un Ensemble de Segments (with H. Amet and J.D. Boissonnat)

      Actes des " Journées de Géométrie Algorithmique" Sophia Antipolis, Juin 1990, Publication INRIA, 143-153.

    9. Déplacement Exact d'un Polygone au Sein d'un Ensemble de Polygones (with H. Amet )

      Actes du "7ème Congrès AFCET, RFIA ", Paris, Nov. 1989, 749-763.

     

    Communications at national conferences without proceedings

    1. Résolution par Algorithmes de Quelques Problèmes dans les Groupes Libres (with P. Marchand),

      Journées "Logique et Informatique", PRC Math. et Informatique, Paris 1987 (organisateur : B. Courcelle)

    2. Classe de Commutation d'un Mot dans les Monoïdes Partiellement Commutatifs,

      Journées " Parallélisme", PRC Math. et Informatique, Paris 1986 (organisateur : J. Sakarowitch)

    3. Recherche en Parallèle dans le Plan,

      Journées de Géométrie Algorithmique, St Pierre de Chartreuse, 1-5 février 1993 (organisateurs: J.D. Boissonnat, O. Devillers, B. Lacolle)

    4. Résolution de Contraintes Géométriques (with E. Monfroy and M. Rusinowitch)

      4èmes Journées de Géométrie Algorithmique, VAL d'AJOL, Mars 1994 (organisateurs: R.Schott et J.C.Spehner)

    5. Recherche Compétitive dans le Plan,

      Journées de Géométrie Algorithmique, Le Bessat, mars 1996 (organisateur : M. Moreau)