*Operator Calculus on Graphs: Theory and Applications in Computer Science*(with G. Stacey Staples)428 pages, Imperial College Press, 2012.

*Dynamic Random Walks, Theory and Applications*(with N. Guillotin-Plantard)280 pages, Elsevier, 2006.

*Probabilistic and Statistical Methods in Computer Science*(with J.F. Mari)252 pages, Kluwer Academic Publishers, 2001.

*Stochastic Processes and Operator Calculus on Quantum Groups*(with U. Franz)230 pages, Kluwer Academic Publishers, 1999.

*Algebraic Structures and Operator Calculus*(with P. Feinsilver)Volume 3: Representations of Lie Groups,

240 pages, Kluwer Academic Publishers, 1996.

*Random Generation of Trees*(with L. Alonso)230 pages, Kluwer Academic Publishers, 1995.

*Algebraic Structures and Operator Calculus*(with P. Feinsilver)Volume 2: Special Functions and Computer Science, 160 pages,

Kluwer Academic Publishers, 1994.

*Algebraic Structures and Operator Calculus*(with P. Feinsilver)Volume 1: Representations and Probability Theory, 234 pages,

Kluwer Academic Publishers, 1993.

*Construire les algorithmes*(with C. Pair and R. Mohr)248 pages, Dunod Informatique, 1988.

*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).

*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).

*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.

*Integration with Respect to the Non-Commutative Fractional Brownian Motion*(with A. Deya)" Bernoulli", Vol. 25, 3, 2137-2162, 2019.

*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.

*On Multiplication in q-Wiener Chaoses*(with A. Deya)" Electronic Communications in Probability", Vol. 23, paper no 1, 1-16, 2018.

*On Stochastic Calculus with Respect to q-Brownian Motion*(with A. Deya)" Journal of Functional Analysis", Vol. 274, Issue 4, 1047-1075, 2018.

*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.

*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).

*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.

*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.

*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.

*On the Rough-Paths Approach to Non-Commutative Stochastic Calculus*(with A. Deya)"Journal of Functional Analysis", Vol. 265, Issue 4, 594-628, 2013.

*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.

*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.

*Connected Components and Evolution of Random Graphs: An Algebraic Approach*(with G.Stacey Staples)"Journal of Algebraic Combinatorics", 35, 1, 141-156, 2012.

*Complexity of Counting Cycles using Zeons*(with G.Stacey Staples)"Computers and Mathematics with Applications", 62, 1828-1837, 2011.

*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.

*Nilpotent Adjacency Matrices and Random Graphs*(with G.Stacey Staples)"Ars Combinatoria", 98, 225-239, 2011.

*Dynamic Geometric Graph Processes: Adjacency Operator Approach*(with G.Stacey Staples)" Advances in Applied Clifford Algebras", 20, 3-4, 893-921, 2010.

*Computing Coordinates on Lie Groups*(with P. Feinsilver and U. Franz)"International Journal of Pure and Applied Mathematics", 60, 4, 371-381, 2010.

*Dynamic Random Walks in Clifford Algebras*(with G.Stacey Staples)"Advances in Pure and Applied Mathematics", 1, 1, 81-115, 2010.

*Reductions in Computational Complexity using Clifford Algebras*(with G.Stacey Staples)" Advances in Applied Clifford Algebras", 20, 1, 121-140, 2010.

*Zeons, Lattices of Partitions, and Free Probability*(with G.Stacey Staples)"Communications in Stochastic Analysis", 4, 3, 311-334, 2010.

*Operator Homology and Cohomology in Clifford Algebras*(with G.Stacey Staples)"CUBO, A Mathematical Journal", 11, 2, 299-326, 2010.

*Finite-Dimensional Calculus*(P. Feinsilver)"Journal of Physics A: Math.Theor." 42, 375214, 2009.

*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.

*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.

*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.

*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.

*Nilpotent AdJacency Matrices, Random Graphs and Quantum Random Variables*(with G.Stacey Staples)"Journal of Physics A: Math.Theor." 41, 15, 2008.

*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.

*Dynamic Quantum Bernoulli Random Walks*(with N. Guillotin-Plantard)"Infinite Dimensional Analysis, Quantum Probability and Related Topics", 11, 2, 213-229, 2008.

*Generating Orthogonal Polynomials and their Derivatives using Vertex|Matching-Partitions of Graphs*(with P. Feinsilver and J. McSorley)"Ars Combinatoria", 87, 75-95, 2008.

*Partitions and Clifford Algebras*(with G.Stacey Staples)"European Journal of Combinatorics", 29, 1133-1138, 2008.

*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.

*Inversion of Analytical Functions via Canonical Polynomials: a Matrix Approach*(with P. Feinsilver )"Mathematics in Computer Science", 1, 2, 239-251, 2007.

*Distributed Algorithms in an Ergodic Markovian Environment*(with F. Comets and F. Delarue)"Random Structures and Algorithms", 30, 1-2, 131-167, 2007.

*Shuffle of Words and Araucaria Trees*(with J.C. Spehner)"Fundamenta Informaticae", 74, 4, 579-601, 2006 and erratum 81, 4, 485-490, 2007.

*Operator Calculus and Appell Systems on Clifford Algebras*(with G.Stacey Staples)"International Journal of Pure and Applied Mathematics", 31, 4, 427-446, 2006.

*Dual Vector Fields II: Calculating the Jacobian*(with P. Feinsilver)"Banach Center Publications", 73, 141-152, 2006.

*Data Structures with Dynamical Random Transitions*(with C. Dombry, N. Guillotin-Plantard and B. Pinçon)"Random Structures and Algorithms", 28, 4, 403-426, 2006.

*Dynamic Random Walks on Heisenberg Groups*(with N. Guillotin-Plantard)"Journal of Theoretical Probability", 19, 2, 377-395, 2006.

*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.

*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.

*Non-Gaussian Malliavin Calculus on Real Lie Algebras*(with U. Franz and N. Privault)"Journal of Functional Analysis", 218, 2, 347-372, 2005.

*The Worst-case Chip Problem*(with L. Alonso, P. Chassaing and E.M. Reingold)"Information Processing Letters", vol.89, Issue 6, 303-308, 2004.

*Two Optimal Parallel Algorithms on the Commutation Class of a Word*(with J.C. Spehner)"Theoretical Computer Science", 324, 107-131, 2004.

*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.

*Representations of the Schrödinger Algebra and Appell Systems*(with P. Feinsilver and Y. Kocik)"Progress of Physics", 52, 4, 343-359, 2004.

*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.

*Approximate Decomposition of some Modulated-Poisson Voronoi Tessellations*(with B. Blaszczyszyn)"Advances in Applied Probability", 35, 4, 847-862, 2003.

*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.

*Distributed Algorithms with Dynamical Random Transitions*(with N. Guillotin-Plantard)"Random Structures and Algorithms", 21, 3-4, 371-396, 2002.

*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.

*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.

*On the Tree Inclusion Problem*(with L. Alonso)"Acta Informatica", 37, 9, 653-670, 2001.

*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.

*The Class I**0**on Abstract Structures*(with D. Neuenschwander)"J. Math. Sci.", 99, 4, 1463-1468, 2000.

*Lévy Processes on U**q**(G) as Infinitely Divisible Representations*(with V.K. Dobrev, H.D. Doebner and U. Franz)"Contemporary Mathematics", 261, 181-192, 2000.

*Lie Response to Signal with Noise*(with P. Feinsilver)"Contemporary Mathematics", 261, 15-22, 2000.

*On Solving Evolution Equations on Lie Groups*(with P. Feinsilver and U. Franz)"Journal of Physics A: Mathematics and General", 33, 2777-2798, 2000.

*Vector Fields and their Duals*(with P. Feinsilver)"Advances in Mathematics", 149, 182-192, 2000.

*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.

*Computing Representations of a Lie Group via the Universal Enveloping Algebra*(with P. Feinsilver)"Journal of Symbolic Computation", 26, 3, 329-338, 1998.

*Diffusions on Braided Spaces*(with U. Franz)." Journal of Mathematical Physics", 39, 5, 2748-2762, 1998.

*Formal Power Series, Operator Calculus, and Duality on Lie Algebras*(with P. Feinsilver)" Discrete Math.", 180, 1-3, 157-171, 1998.

*Evolution Equations and Lévy Processes on Quantum Groups*(with U. Franz)"Journal of Physics A: Mathematics and General", 31, 1395-1404, 1998.

*A Note on Domains of Attraction for q-deformed Random Variables*(with D. Neuenschwander)"Prob. Math. Stat.", 17, 2, 387-394, 1997.

*Uniform Generation of a Schröder Tree*(with L. Alonso and J.L. Rémy)"Information Processing Letters", 64, 6, 305-308, 1997.

*Data Structures Maxima*(with G. Louchard and C. Kenyon)"SIAM Journal on Computing", 26, 4, 1006-1042, 1997.

*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.

*Duality and Stochastic Multiplicative Processes on Quantum Groups*(with U. Franz and P. Feinsilver)"Journal of Theoretical Probability", 10, 3, 795-818, 1997.

*The Average-Case Complexity of Determining the Majority*(with L. Alonso and E.M. Reingold)"SIAM Journal on Computing", 26, 1, 1-14, 1997.

*A Linear Time Algorithm for the Generation of Trees*(with L. Alonso and J.L. Rémy)"Algorithmica", 17, 2, 162-182, 1997.

*A Markovian Concurrency Measure*(with D. Geniet and L. Thimonier)RAIRO Informatique Theorique et Applications, 30, 4, 295-304, 1996.

*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.

*Optimal Operations on Red-Black trees*(with L.Chen)"International Journal of Foundations of Computer Science", 7, 3, 227-239, 1996.

*The Average Complexity of a Coin-Weighing Problem*(with L. Alonso and P. Chassaing)"Random Structures and Algorithms", 9, 1-2, 1-14, 1996.

*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.*A Parallel Algorithm for the Generation of a Permutation and Applications*(with L. Alonso)"Theoretical Computer Science", 159, 1, 15-28, 1996.

*Differential Relations and Recurrence Formulas for Representations of Lie Groups*(with P. Feinsilver)"Studies in Applied Mathematics", 96, 4, 387-406, 1996.

*Operator Calculus Approach to Orthogonal Polynomial Expansions*(with P. Feinsilver)"Journal of Computational and Applied Mathematics", 66, 185-199, 1996.

*Parallel Searching in the Plane*(with R.Baeza-Yates)"Computational Geometry: Theory and Applications", 5, 143-154, 1995.

*Multidimensional Divide-and-Conquer Maximin Recurrences*(with L. Alonso and E.M. Reingold)"SIAM Journal on Discrete Mathematics", 8, 3, 428-447, 1995.

*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.

*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.

*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.

*Determining the Majority*(with L. Alonso and E.M. Reingold)"Information Processing Letters", 47, 253-255, 1993.

*Representations and Stochastic Processes on Groups of Type-H*(with P. Feinsilver and Y. Kocik)"Journal of Functional Analysis", 115, 1, 146-165, 1993.

*Dynamic Algorithms in D.E.Knuth's Model: a Probabilistic Analysis*(with G. Louchard and B. Randrianarimanana)"Theoretical Computer Science ", 93, 201-225, 1992.

*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.

*Appell Systems on Lie Groups*(with P. Feinsilver)"Journal of Theoretical Probability", 5 , 2 , 251-281, 1992.

*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.

*Probabilistic Analysis of Some Distributed Agorithms*(with G. Louchard)"Random Structures and Algorithms", 2, 2, 151-186, 1991.

*Analysis of Dynamic Agorithms in D.E.Knuth's Model*(with J.Françon and B.Randrianarimanana)"Theoretical Computer Science", 72, 147-167, 1990.

*Non-overlapping Partitions, Continued Fractions, Bessel Functions and a Divergent Series*(with P. Flajolet)"European Journal of Combinatorics", 11, 421-432, 1990.

*Special Functions and Infinite-dimensional Representations of Lie groups*(with P. Feinsilver)"Mathematische Zeitschrift", 203, 173-191, 1990.

*Iterated Stochastic Integrals in non Linear Control Theory*"Algebraic and Geometric Methods in Non linear Control Theory", 499-510, 1986, D. Reidel Pub.Company.

*Une loi du Logarithme Itéré pour Certaines Intégrales Stochastiques,*"Annales de l'Institut E.Cartan", 7, 147-161, 1983.

*Marches Aléatoires sur les Espaces Homogènes de Certains Groupes de Type Rigide*(with L. Gallardo)"Astérisque" 74, 149 -170, 1980.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*Croissance et Moyennabilité des Espaces Homogènes*,Note aux C.R.A.S., t. 292, 02-11-1981.

*Une loi du Logarithme Itéré pour Certaines Intégrales Stochastiques,*Note aux C.R.A.S., t. 292, 26-01-1981.

*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.

*Marches Aléatoires sur les Espaces Homogènes des Groupes de Lie Nilpotents Simplement Connexes*,Note aux C.R.A.S., t. 287, 18-09-1978.

*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)

*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)

*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.

*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).

*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.

*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.

*Combinatorial Techniques in Computer Science*(invited lecture)*,*"Bulletin Soc. Math. de Belgique", 42, 2, ser.B, 141-155, 1990.

*Haar Measures and Random Walks on Homogeneous Spaces*(invited lecture)*,*Colloquia Mathematica, Janos Bolyai Societatis, 49, 787-797, 1985, North Holland Pub.Company.

*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.

*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.

*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.

*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.

*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.

*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).

*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.

*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.

*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).

*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.

*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.

*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).

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*Lévy Processes on U**q**(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.

*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.

*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.

*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.

*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.

*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.

*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.

*Implementing Non-linear Constraints with Cooperative Solvers*(with E. Monfroy andM. Rusinowitch)

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

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*Exhaustion of Shared Memory:**Stochastic Results*(with R. Maier)Proceedings WADS'93, (Montréal, Canada, Aug. 1993), LNCS 709, 494-505, Springer Verlag.

*Parallel Searching in the Plane*(with R. Baeza-Yates)Proceedings SCCC'92 (Santiago, Chile, Oct. 1992), 269-279.

*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.

*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

*Probabilistic Analysis of Some Distributed Agorithms*(with G. Louchard)Proceedings CAAP'90, LNCS 431, 239-253, Springer Verlag.

*A Markovian Concurrency Measure*( with D. Geniet and L. Thimonier )Proceedings CAAP'90, LNCS 431, 177-190, Springer Verlag.

*Krawtchouck Prolynomials and finite Probability Theory*(with P. Feinsilver)Proceedings, 10th Int.Conf." Probability Measures on Groups", Oberwolfach, Germany, 1990, 129-136, Plenum Pub.

*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.

*Dynamic Data Sructures with Finite Population: A Combinatorial Analysis*(with J. Françon and B. Randrianarimanana)Proceedings FCT'89, LNCS 380, 162-174, Springer Verlag.

*Discs and other related Data Structures*(with F. Luccio et M. Régnier)Proceedings WADS'89, LNCS 382, 192-205, Springer Verlag.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*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.

*Recherche en Parallèle dans le Plan*(with R. Baeza-Yates)Actes du "9ème Congrès AFCET, RFIA", Paris, janv.1994.

*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.

*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.

*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.

*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.

*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)

*Classe de Commutation d'un Mot dans les Monoïdes Partiellement Commutatifs,*Journées " Parallélisme", PRC Math. et Informatique, Paris 1986 (organisateur : J. Sakarowitch)

*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)

*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)

*Recherche Compétitive dans le Plan,*Journées de Géométrie Algorithmique, Le Bessat, mars 1996 (organisateur : M. Moreau)

**PUBLICATIONS OF RENÉ SCHOTT**

**Books**

**Papers published (or accepted for publication) in Journals **

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

**Book Chapters**

**Survey papers**

**Communications at international conferences with program
committee and proceedings**

**Communications at national conferences with program committee
and proceedings**

**Communications at national conferences without proceedings **