Edit Profile (opens in new tab) Schott, René Co-Author Distance Author ID: schott.rene Published as: Schott, René; Schott, R.; Schott, Rene more...less Homepage: https://members.loria.fr/RSchott/ External Links: MGP Documents Indexed: 154 Publications since 1978, including 8 Books and 2 Additional arXiv Preprints Co-Authors: 63 Co-Authors with 135 Joint Publications 1,735 Co-Co-Authors all top 5 Co-Authors 17 single-authored 33 Feinsilver, Philip J. 19 Franz, Uwe 19 Staples, George Stacey 12 Alonso, Laurent 9 Neuenschwander, Daniel 6 Reingold, Edward Martin 5 Deya, Aurélien 5 Guillotin-Plantard, Nadine 5 Louchard, Guy 4 Chassaing, Philippe 4 Randrianarimanana, B. 4 Spehner, Jean-Claude 3 Comets, Francis M. 3 Delarue, François 3 Doebner, Heinz-Dietrich 3 Francon, Jean 3 Gallardo, Léonard 3 Kocik, Jerzy 2 Błaszczyszyn, Bartłomiej 2 Champagnat, Nicolas 2 Cheong, Otfried 2 Dobrev, Vladimir K. 2 Dozzi, Marco E. 2 Everett, Hazel 2 Geniet, Dominique 2 Henkel, Malte 2 Kim, Hyo-Sil 2 Lazard, Sylvain 2 Léandre, Rémi 2 McSorley, John P. 2 Privault, Nicolas 2 Raja, Chandiraraj Robinson Edward 2 Remy, Jean-Luc 2 Stoimenov, Stoimen 2 Thimonier, Loÿs 2 Unterberger, Jérémie M. 2 Villemonais, Denis 1 Aouad, Maha Idrissi 1 Baeza-Yates, Ricardo A. 1 Bandle, Catherine 1 Boissonnat, Jean-Daniel 1 Chen, Lin 1 Devillers, Olivier 1 Dobrey, V. K. 1 Dombry, Clément 1 Flajolet, Philippe 1 Gillet, Florent 1 Janson, Svante 1 Kenyon, Claire M. 1 Luccio, Fabrizio 1 Mari, Jean-François 1 Meier, Robert S. 1 Pinçon, Bruno 1 Prevot, Daniel 1 Régnier, Mireille 1 Roynette, Bernard 1 Slimane, Jamila Ben 1 Song, Yeqiong 1 Teillaud, Monique 1 Tsiontsiou, Evangelia 1 Yvinec, Mariette 1 Zendra, Olivier 1 Zimmermann, Paul all top 5 Serials 5 Journal of Theoretical Probability 5 Random Structures & Algorithms 5 Comptes Rendus de l’Académie des Sciences. Série I 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 4 Annales Scientifiques de l’Université de Clermont-Ferrand II. Mathématiques 4 Journal of Functional Analysis 4 Theoretical Computer Science 4 Mathematics and its Applications (Dordrecht) 3 Information Processing Letters 3 Advances in Applied Clifford Algebras 2 Ars Combinatoria 2 Journal of Computational and Applied Mathematics 2 SIAM Journal on Computing 2 European Journal of Combinatorics 2 Journal of Physics A: Mathematical and General 2 Combinatorics, Probability and Computing 2 Fundamenta Informaticae 2 International Journal of Pure and Applied Mathematics 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 International Journal of Mathematics and Computer Science 2 Journal of Physics A: Mathematical and Theoretical 1 Acta Informatica 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Fortschritte der Physik 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Archiv der Mathematik 1 Journal of Combinatorial Theory. Series A 1 Mathematische Zeitschrift 1 Studies in Applied Mathematics 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Probability and Mathematical Statistics 1 Stochastic Analysis and Applications 1 Journal of Symbolic Computation 1 Probability Theory and Related Fields 1 Algorithmica 1 Discrete & Computational Geometry 1 SIAM Journal on Discrete Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computational Geometry & Applications 1 Computational Geometry 1 International Journal of Foundations of Computer Science 1 Expositiones Mathematicae 1 RAIRO. Informatique Théorique et Applications 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Electronic Communications in Probability 1 Bernoulli 1 Markov Processes and Related Fields 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 RIMS Kokyuroku 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Cubo 1 Institut Élie Cartan, Université de Nancy I 1 Mathematics in Computer Science 1 Communications on Stochastic Analysis 1 Confluentes Mathematici 1 Advances in Pure and Applied Mathematics 1 Bulletin of Mathematical Sciences all top 5 Fields 72 Probability theory and stochastic processes (60-XX) 53 Computer science (68-XX) 27 Quantum theory (81-XX) 23 Combinatorics (05-XX) 21 Topological groups, Lie groups (22-XX) 16 Nonassociative rings and algebras (17-XX) 12 Special functions (33-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Abstract harmonic analysis (43-XX) 9 Functional analysis (46-XX) 5 Numerical analysis (65-XX) 4 Associative rings and algebras (16-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Operations research, mathematical programming (90-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 99 Publications have been cited 461 times in 329 Documents Cited by ▼ Year ▼ Applications of random sampling to on-line algorithms in computational geometry. Zbl 0769.68118 Boissonnat, Jean-Daniel; Devillers, Olivier; Schott, René; Teillaud, Monique; Yvinec, Mariette 28 1992 Parallel searching in the plane. Zbl 0839.68104 Baeza-Yates, Ricardo; Schott, René 25 1995 Determining the majority. Zbl 0780.68051 Alonso, Laurent; Reingold, Edward M.; Schott, René 22 1993 The Poincaré algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states. Zbl 1259.82077 Henkel, Malte; Schott, René; Stoimenov, Stoimen; Unterberger, Jérémie 19 2012 The average-case complexity of determining the majority. Zbl 0868.68066 Alonso, Laurent; Reingold, Edward M.; Schott, René 18 1997 Non-overlapping partitions, continued fractions, Bessel functions and a divergent series. Zbl 0733.05007 Flajolet, Philippe; Schott, René 13 1990 Representations of the Schrödinger algebra and Appell systems. Zbl 1077.81047 Feinsilver, Philip; Kocik, Jerzy; Schott, René 12 2004 Algebraic structures and operator calculus. Volume I: Representations and probability theory. Zbl 0782.60015 Feinsilver, Philip; Schott, René 12 1993 Operator calculus on graphs. Theory and applications in computer science. Zbl 1264.15025 Schott, René; Staples, G. Stacey 11 2012 Probabilistic analysis of some distributed algorithms. Zbl 0732.68055 Louchard, G.; Schott, R. 11 1991 The Bernstein and Skitovič-Darmois characterization theorems for Gaussian distributions on groups, symmetric spaces, and quantum groups. Zbl 0892.60010 Neuenschwander, Daniel; Schott, René 10 1997 Reductions in computational complexity using Clifford algebras. Zbl 1191.68335 Schott, René; Staples, G. Stacey 10 2010 Random walks, heat equation and distributed algorithms. Zbl 0820.68052 Louchard, G.; Schott, R.; Tolley, M.; Zimmermann, P. 10 1994 Krawtchouk polynomials and finite probability theory. Zbl 0821.60076 Feinsilver, P.; Schott, R. 8 1991 A linear-time algorithm for the generation of trees. Zbl 0865.68088 Alonso, L.; Rémy, J. L.; Schott, R. 8 1997 Stochastic processes and operator calculus on quantum groups. Zbl 0946.60005 Franz, Uwe; Schott, René 7 1999 On the rough-paths approach to non-commutative stochastic calculus. Zbl 1291.46056 Deya, Aurélien; Schott, René 7 2013 Nilpotent adjacency matrices and random graphs. Zbl 1249.05211 Schott, R.; Staples, G. S. 6 2011 Approximations of functionals of some modulated-Poisson Voronoi tessellations with applications to modeling of communication networks. Zbl 1129.90331 Blaszczyszyn, Bartłomiej; Schott, René 6 2005 Quicksort with unreliable comparisons: A probabilistic analysis. Zbl 1097.68545 Alonso, Laurent; Chassaing, Philippe; Gillet, Florent; Janson, Svante; Reingold, Edward M.; Schott, René 6 2004 Zeons, lattices of partitions, and free probability. Zbl 1331.46058 Schott, René; Staples, G. Stacey 6 2010 Random generation of colored trees. Zbl 1495.68160 Alonso, L.; Schott, R. 6 1995 On the dynamical symmetric algebra of ageing: Lie structure, representations and Appell systems. Zbl 1132.82017 Henkel, Malte; Schott, René; Stoimenov, Stoimen; Unterberger, Jérémie 5 2007 Nilpotent adjacency matrices, random graphs and quantum random variables. Zbl 1137.81026 Schott, René; Staples, George Stacey 5 2008 Partitions and Clifford algebras. Zbl 1149.05005 Schott, René; Staples, G. Stacey 5 2008 Une loi du logarithme iteré pour certaines intégrales stochastiques. Zbl 0492.60050 Schott, René 5 1981 Multidimensional divide-and-conquer maximin recurrences. Zbl 0834.68053 Alonso, Laurent; Reingold, Edward M.; Schott, René 5 1995 Distributed algorithms in an ergodic Markovian environment. Zbl 1178.68663 Comets, Francis; Delarue, François; Schott, René 5 2007 Distributed algorithms with dynamical random transitions. Zbl 1057.68133 Guillotin-Plantard, Nadine; Schott, René 5 2002 Dynamic algorithms in D. E. Knuth’s model: A probabilistic analysis. Zbl 0746.68041 Louchard, G.; Randrianarimanana, B.; Schott, R. 5 1992 Appell systems on Lie groups. Zbl 0768.33014 Feinsilver, P.; Schott, R. 5 1992 Duality and multiplicative stochastic processes on quantum groups. Zbl 0883.60063 Feinsilver, Philip; Franz, Uwe; Schott, René 5 1997 Information transmission under random emission constraints. Zbl 1299.90069 Comets, Francis; Delarue, François; Schott, René 5 2014 Operator calculus algorithms for multi-constrained paths. Zbl 1397.05192 Slimane, Jamila Ben; Schott, René; Song, Ye-Qiong; Staples, G. Stacey; Tsiontsiou, Evangelia 5 2015 Uniform generation of a Schröder tree. Zbl 1338.68091 Alonso, L.; Rémy, J. L.; Schott, R. 5 1997 Dynamic random walks on Heisenberg groups. Zbl 1124.60086 Guillotin-Plantard, Nadine; Schott, René 4 2006 Marches aléatoires sur les espaces homogenes des groupes de Lie nilpotents simplement connexes. Zbl 0478.60019 Prevot, D.; Schott, René 4 1979 Algebraic structures and operator calculus. Vol. II: Special functions and computer science. Zbl 1128.33300 Feinsilver, Philip; Schott, René 4 1994 Complexity of counting cycles using zeons. Zbl 1231.05250 Schott, René; Staples, G. Stacey 4 2011 The worst-case chip problem. Zbl 1178.68696 Alonso, Laurent; Chassaing, Philippe; Reingold, Edward M.; Schott, René 4 2004 Approximate decomposition of some modulated-Poisson Voronoi tessellation. Zbl 1041.60010 Błaszczyszyn, Bartłomiej; Schott, René 4 2003 Analysis of dynamic algorithms in Knuth’s model. Zbl 0698.68018 Françon, J.; Randrianarimanana, B.; Schott, R. 4 1990 Representations and stochastic processes on groups of type-H. Zbl 0797.60012 Feinsilver, P.; Kocik, J.; Schott, R. 4 1993 On stochastic calculus with respect to \(q\)-Brownian motion. Zbl 1397.46049 Deya, Aurélien; Schott, René 4 2018 Generalized zeon algebras: theory and application to multi-constrained path problems. Zbl 1369.05056 Schott, René; Staples, G. Stacey 4 2017 Integration with respect to the non-commutative fractional Brownian motion. Zbl 1466.60109 Deya, Aurélien; Schott, René 4 2019 Dynamic random walks in Clifford algebras. Zbl 1218.15010 Schott, R.; Staples, G. S. 3 2010 An operator calculus approach to the evolution of dynamic data structures. Zbl 1193.68084 Feinsilver, P.; Schott, R. 3 1995 Large deviations analysis for distributed algorithms in an ergodic Markovian environment. Zbl 1186.60021 Comets, Francis; Delarue, François; Schott, René 3 2009 Operator calculus approach to orthogonal polynomial expansions. Zbl 0858.65014 Feinsilver, P.; Schott, R. 3 1996 Data structures’ maxima. Zbl 0896.60060 Louchard, G.; Kenyon, Claire; Schott, R. 3 1997 Malliavin calculus for quantum stochastic processes. Zbl 0948.58024 Franz, Uwe; Léandre, Rémi; Schott, René 3 1999 Diffusion on braided spaces. Zbl 1001.81042 Franz, U.; Schott, R. 3 1998 Data structures with dynamical random transitions. Zbl 1103.60012 Dombry, C.; Guillotin-Plantard, N.; Pinçon, B.; Schott, R. 3 2006 Probabilistic analysis of some distributed algorithms. Zbl 0759.68036 Louchard, G.; Schott, R. 3 1990 Characterizations of Gaussian distributions on simply connected nilpotent Lie groups and symmetric spaces. Zbl 0880.60008 Neuenschwander, Daniel; Roynette, Bernard; Schott, René 3 1997 Gauss laws in the sense of Bernstein and uniqueness of embedding into convolution semigroups on quantum groups and braided groups. Zbl 0882.60007 Franz, U.; Neuenschwander, D.; Schott, R. 3 1997 Marches aléatoires sur les espaces homogenes de certains groupes de type rigide. Zbl 0445.60008 Gallardo, Léonard; Schott, René 3 1980 Operator homology and cohomology in Clifford algebras. Zbl 1217.15035 Schott, René; Staples, G. Stacey 3 2010 Analysis of dynamic algorithms in D. E. Knuth’s model. Zbl 0645.68030 Françon, J.; Randrianarimanana, B.; Schott, R. 2 1988 Special functions and infinite-dimensional representations of Lie groups. Zbl 0663.33005 Feinsilver, P.; Schott, R. 2 1990 Dynamic random walks. Theory and applications. Zbl 1149.60004 Guillotin-Plantard, Nadine; Schott, René 2 2006 Irrfahrten auf nicht mittelbaren homogenen Räumen. Zbl 0492.60064 Schott, René 2 1981 Combinatorial interpretation and operator calculus of Lommel polynomials. Zbl 0859.05078 Feinsilver, P.; McSorley, J.; Schott, R. 2 1996 Algebraic structures and operator calculus. Vol. III: Representations of Lie groups. Zbl 0885.22014 Feinsilver, Philip; Schott, René 2 1996 Vector fields and their duals. Zbl 1057.17017 Feinsilver, Philip; Schott, René 2 2000 Evolution equations and Lévy processes on quantum groups. Zbl 0956.81032 Franz, U.; Schott, R. 2 1998 On the tree inclusion problem. Zbl 0925.68340 Alonso, Laurent; Schott, René 2 1993 Malliavin calculus and Skorohod integration for quantum stochastic processes. Zbl 1043.81041 Franz, Uwe; Léandre, Rémi; Schott, René 2 2001 Berezin quantization of the Schrödinger algebra. Zbl 1047.17018 Feinsilver, Philip; Kocik, Jerzy; Schott, René 2 2003 Recurrent random walks on homogeneous spaces of \(p\)-adic algebraic groups of polynomial growth. Zbl 1156.60028 Raja, C. Robinson Edward; Schott, René 2 2008 On Bessel functions and rate of convergence of zeros of Lommel polynomials. Zbl 0759.41016 Feinsilver, P.; Schott, R. 2 1992 Blow up behaviour of a stochastic partial differential equation of reaction-diffusion type. Zbl 0866.60052 Bandle, C.; Dozzi, M.; Schott, R. 2 1996 Operator calculus and invertible Clifford Appell systems: theory and application on the \(n\)-particle fermion algebra. Zbl 1285.15013 Schott, René; Staples, G. Stacey 2 2013 On Krawtchouk transforms. Zbl 1286.65035 Feinsilver, Philip; Schott, René 2 2010 Hybrid heuristics for optimizing energy consumption in embedded systems. Zbl 1202.68077 Aouad, Maha Idrissi; Schott, René; Zendra, Olivier 2 2010 The exhaustion of shared memory: stochastic results. Zbl 1504.68018 Maier, Robert S.; Schott, René 2 1993 An operator approach to processes on Lie groups. Zbl 0681.60013 Feinsilver, Philip; Schott, René 1 1989 Operators, stochastic processes, and Lie groups. Zbl 0681.60014 Feinsilver, Philip; Schott, René 1 1989 Operator calculus and Appell systems on Clifford algebras. Zbl 1136.15021 Schott, René; Staples, G. Stacey 1 2006 Une loi du logarithme iteré pour certaines intégrales stochastiques. Zbl 0507.60077 Schott, René 1 1981 Marches aléatoires sur les espaces homogenes. Zbl 0526.60011 Schott, René 1 1982 Generating orthogonal polynomials and their derivatives using vertex\(| \)matching-partitions of graphs. Zbl 1224.05419 McSorley, John P.; Feinsilver, Philip; Schott, Rene 1 2008 Differential relations and recurrence formulas for representations of Lie groups. Zbl 0861.22005 Feinsilver, P.; Schott, R. 1 1996 On the tree inclusion problem. Zbl 0977.68065 Alonso, Laurent; Schott, René 1 2001 Probabilistic and statistical methods in computer science. Zbl 1016.68180 Mari, Jean-François; Schott, René 1 2001 Average-case analysis of the chip problem. Zbl 1103.68389 Alonso, Laurent; Chassaing, Philippe; Reingold, Edward M.; Schott, René 1 2006 Shuffle of words and araucaria trees. Zbl 1106.68064 Schott, René; Spehner, Jean-Claude 1 2006 Recurrent random walks on homogeneous spaces. Zbl 0611.60005 Schott, R. 1 1986 Iterated stochastic integrals in nonlinear control theory. Zbl 0615.93074 Schott, R. 1 1986 A note on domains of attraction for \(q\)-transformed random variables. Zbl 0898.60012 Neuenschwander, Daniel; Schott, René 1 1997 Non-Gaussian Malliavin calculus on real Lie algebras. Zbl 1064.60125 Franz, Uwe; Privault, Nicolas; Schott, René 1 2005 Dynamic data structures with finite population: A combinatorial analysis. Zbl 0756.68023 Françon, J.; Randrianarimanana, B.; Schott, R. 1 1989 Optimal operations on red-black trees. Zbl 0859.68013 Chen, Lin; Schott, René 1 1996 Gauss laws in the sense of Bernstein and uniqueness of embedding into convolution semigroups on quantum groups and braided groups. Zbl 0882.60013 Franz, U.; Neuenschwander, D.; Schott, R. 1 1997 Marches aléatoires sur les espaces homogenes de groupes de Lie nilpotents, simplement connexes. Zbl 0403.60064 Schott, René 1 1978 Un théorème de structure pour des sous-groupes fermés, connexes des groupes extensions compactes de groupes nilpotents. Zbl 0416.22010 Gallardo, Léonard; Schott, René 1 1979 The average complexity of a coin-weighing problem. Zbl 0856.68070 Alonso, L.; Chassaing, P.; Schott, R. 1 1996 Dynamic geometric graph processes: Adjacency operator approach. Zbl 1216.05146 Schott, René; Staples, G. Stacey 1 2010 Integration with respect to the non-commutative fractional Brownian motion. Zbl 1466.60109 Deya, Aurélien; Schott, René 4 2019 On stochastic calculus with respect to \(q\)-Brownian motion. Zbl 1397.46049 Deya, Aurélien; Schott, René 4 2018 Generalized zeon algebras: theory and application to multi-constrained path problems. Zbl 1369.05056 Schott, René; Staples, G. Stacey 4 2017 Operator calculus algorithms for multi-constrained paths. Zbl 1397.05192 Slimane, Jamila Ben; Schott, René; Song, Ye-Qiong; Staples, G. Stacey; Tsiontsiou, Evangelia 5 2015 Information transmission under random emission constraints. Zbl 1299.90069 Comets, Francis; Delarue, François; Schott, René 5 2014 On the rough-paths approach to non-commutative stochastic calculus. Zbl 1291.46056 Deya, Aurélien; Schott, René 7 2013 Operator calculus and invertible Clifford Appell systems: theory and application on the \(n\)-particle fermion algebra. Zbl 1285.15013 Schott, René; Staples, G. Stacey 2 2013 The Poincaré algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states. Zbl 1259.82077 Henkel, Malte; Schott, René; Stoimenov, Stoimen; Unterberger, Jérémie 19 2012 Operator calculus on graphs. Theory and applications in computer science. Zbl 1264.15025 Schott, René; Staples, G. Stacey 11 2012 Nilpotent adjacency matrices and random graphs. Zbl 1249.05211 Schott, R.; Staples, G. S. 6 2011 Complexity of counting cycles using zeons. Zbl 1231.05250 Schott, René; Staples, G. Stacey 4 2011 Reductions in computational complexity using Clifford algebras. Zbl 1191.68335 Schott, René; Staples, G. Stacey 10 2010 Zeons, lattices of partitions, and free probability. Zbl 1331.46058 Schott, René; Staples, G. Stacey 6 2010 Dynamic random walks in Clifford algebras. Zbl 1218.15010 Schott, R.; Staples, G. S. 3 2010 Operator homology and cohomology in Clifford algebras. Zbl 1217.15035 Schott, René; Staples, G. Stacey 3 2010 On Krawtchouk transforms. Zbl 1286.65035 Feinsilver, Philip; Schott, René 2 2010 Hybrid heuristics for optimizing energy consumption in embedded systems. Zbl 1202.68077 Aouad, Maha Idrissi; Schott, René; Zendra, Olivier 2 2010 Dynamic geometric graph processes: Adjacency operator approach. Zbl 1216.05146 Schott, René; Staples, G. Stacey 1 2010 Large deviations analysis for distributed algorithms in an ergodic Markovian environment. Zbl 1186.60021 Comets, Francis; Delarue, François; Schott, René 3 2009 Nilpotent adjacency matrices, random graphs and quantum random variables. Zbl 1137.81026 Schott, René; Staples, George Stacey 5 2008 Partitions and Clifford algebras. Zbl 1149.05005 Schott, René; Staples, G. Stacey 5 2008 Recurrent random walks on homogeneous spaces of \(p\)-adic algebraic groups of polynomial growth. Zbl 1156.60028 Raja, C. Robinson Edward; Schott, René 2 2008 Generating orthogonal polynomials and their derivatives using vertex\(| \)matching-partitions of graphs. Zbl 1224.05419 McSorley, John P.; Feinsilver, Philip; Schott, Rene 1 2008 On the dynamical symmetric algebra of ageing: Lie structure, representations and Appell systems. Zbl 1132.82017 Henkel, Malte; Schott, René; Stoimenov, Stoimen; Unterberger, Jérémie 5 2007 Distributed algorithms in an ergodic Markovian environment. Zbl 1178.68663 Comets, Francis; Delarue, François; Schott, René 5 2007 Dynamic random walks on Heisenberg groups. Zbl 1124.60086 Guillotin-Plantard, Nadine; Schott, René 4 2006 Data structures with dynamical random transitions. Zbl 1103.60012 Dombry, C.; Guillotin-Plantard, N.; Pinçon, B.; Schott, R. 3 2006 Dynamic random walks. Theory and applications. Zbl 1149.60004 Guillotin-Plantard, Nadine; Schott, René 2 2006 Operator calculus and Appell systems on Clifford algebras. Zbl 1136.15021 Schott, René; Staples, G. Stacey 1 2006 Average-case analysis of the chip problem. Zbl 1103.68389 Alonso, Laurent; Chassaing, Philippe; Reingold, Edward M.; Schott, René 1 2006 Shuffle of words and araucaria trees. Zbl 1106.68064 Schott, René; Spehner, Jean-Claude 1 2006 Approximations of functionals of some modulated-Poisson Voronoi tessellations with applications to modeling of communication networks. Zbl 1129.90331 Blaszczyszyn, Bartłomiej; Schott, René 6 2005 Non-Gaussian Malliavin calculus on real Lie algebras. Zbl 1064.60125 Franz, Uwe; Privault, Nicolas; Schott, René 1 2005 Representations of the Schrödinger algebra and Appell systems. Zbl 1077.81047 Feinsilver, Philip; Kocik, Jerzy; Schott, René 12 2004 Quicksort with unreliable comparisons: A probabilistic analysis. Zbl 1097.68545 Alonso, Laurent; Chassaing, Philippe; Gillet, Florent; Janson, Svante; Reingold, Edward M.; Schott, René 6 2004 The worst-case chip problem. Zbl 1178.68696 Alonso, Laurent; Chassaing, Philippe; Reingold, Edward M.; Schott, René 4 2004 Approximate decomposition of some modulated-Poisson Voronoi tessellation. Zbl 1041.60010 Błaszczyszyn, Bartłomiej; Schott, René 4 2003 Berezin quantization of the Schrödinger algebra. Zbl 1047.17018 Feinsilver, Philip; Kocik, Jerzy; Schott, René 2 2003 Distributed algorithms with dynamical random transitions. Zbl 1057.68133 Guillotin-Plantard, Nadine; Schott, René 5 2002 Malliavin calculus and Skorohod integration for quantum stochastic processes. Zbl 1043.81041 Franz, Uwe; Léandre, Rémi; Schott, René 2 2001 On the tree inclusion problem. Zbl 0977.68065 Alonso, Laurent; Schott, René 1 2001 Probabilistic and statistical methods in computer science. Zbl 1016.68180 Mari, Jean-François; Schott, René 1 2001 Vector fields and their duals. Zbl 1057.17017 Feinsilver, Philip; Schott, René 2 2000 Stochastic processes and operator calculus on quantum groups. Zbl 0946.60005 Franz, Uwe; Schott, René 7 1999 Malliavin calculus for quantum stochastic processes. Zbl 0948.58024 Franz, Uwe; Léandre, Rémi; Schott, René 3 1999 Diffusion on braided spaces. Zbl 1001.81042 Franz, U.; Schott, R. 3 1998 Evolution equations and Lévy processes on quantum groups. Zbl 0956.81032 Franz, U.; Schott, R. 2 1998 The average-case complexity of determining the majority. Zbl 0868.68066 Alonso, Laurent; Reingold, Edward M.; Schott, René 18 1997 The Bernstein and Skitovič-Darmois characterization theorems for Gaussian distributions on groups, symmetric spaces, and quantum groups. Zbl 0892.60010 Neuenschwander, Daniel; Schott, René 10 1997 A linear-time algorithm for the generation of trees. Zbl 0865.68088 Alonso, L.; Rémy, J. L.; Schott, R. 8 1997 Duality and multiplicative stochastic processes on quantum groups. Zbl 0883.60063 Feinsilver, Philip; Franz, Uwe; Schott, René 5 1997 Uniform generation of a Schröder tree. Zbl 1338.68091 Alonso, L.; Rémy, J. L.; Schott, R. 5 1997 Data structures’ maxima. Zbl 0896.60060 Louchard, G.; Kenyon, Claire; Schott, R. 3 1997 Characterizations of Gaussian distributions on simply connected nilpotent Lie groups and symmetric spaces. Zbl 0880.60008 Neuenschwander, Daniel; Roynette, Bernard; Schott, René 3 1997 Gauss laws in the sense of Bernstein and uniqueness of embedding into convolution semigroups on quantum groups and braided groups. Zbl 0882.60007 Franz, U.; Neuenschwander, D.; Schott, R. 3 1997 A note on domains of attraction for \(q\)-transformed random variables. Zbl 0898.60012 Neuenschwander, Daniel; Schott, René 1 1997 Gauss laws in the sense of Bernstein and uniqueness of embedding into convolution semigroups on quantum groups and braided groups. Zbl 0882.60013 Franz, U.; Neuenschwander, D.; Schott, R. 1 1997 Operator calculus approach to orthogonal polynomial expansions. Zbl 0858.65014 Feinsilver, P.; Schott, R. 3 1996 Combinatorial interpretation and operator calculus of Lommel polynomials. Zbl 0859.05078 Feinsilver, P.; McSorley, J.; Schott, R. 2 1996 Algebraic structures and operator calculus. Vol. III: Representations of Lie groups. Zbl 0885.22014 Feinsilver, Philip; Schott, René 2 1996 Blow up behaviour of a stochastic partial differential equation of reaction-diffusion type. Zbl 0866.60052 Bandle, C.; Dozzi, M.; Schott, R. 2 1996 Differential relations and recurrence formulas for representations of Lie groups. Zbl 0861.22005 Feinsilver, P.; Schott, R. 1 1996 Optimal operations on red-black trees. Zbl 0859.68013 Chen, Lin; Schott, René 1 1996 The average complexity of a coin-weighing problem. Zbl 0856.68070 Alonso, L.; Chassaing, P.; Schott, R. 1 1996 Parallel searching in the plane. Zbl 0839.68104 Baeza-Yates, Ricardo; Schott, René 25 1995 Random generation of colored trees. Zbl 1495.68160 Alonso, L.; Schott, R. 6 1995 Multidimensional divide-and-conquer maximin recurrences. Zbl 0834.68053 Alonso, Laurent; Reingold, Edward M.; Schott, René 5 1995 An operator calculus approach to the evolution of dynamic data structures. Zbl 1193.68084 Feinsilver, P.; Schott, R. 3 1995 Random walks, heat equation and distributed algorithms. Zbl 0820.68052 Louchard, G.; Schott, R.; Tolley, M.; Zimmermann, P. 10 1994 Algebraic structures and operator calculus. Vol. II: Special functions and computer science. Zbl 1128.33300 Feinsilver, Philip; Schott, René 4 1994 Determining the majority. Zbl 0780.68051 Alonso, Laurent; Reingold, Edward M.; Schott, René 22 1993 Algebraic structures and operator calculus. Volume I: Representations and probability theory. Zbl 0782.60015 Feinsilver, Philip; Schott, René 12 1993 Representations and stochastic processes on groups of type-H. Zbl 0797.60012 Feinsilver, P.; Kocik, J.; Schott, R. 4 1993 On the tree inclusion problem. Zbl 0925.68340 Alonso, Laurent; Schott, René 2 1993 The exhaustion of shared memory: stochastic results. Zbl 1504.68018 Maier, Robert S.; Schott, René 2 1993 Applications of random sampling to on-line algorithms in computational geometry. Zbl 0769.68118 Boissonnat, Jean-Daniel; Devillers, Olivier; Schott, René; Teillaud, Monique; Yvinec, Mariette 28 1992 Dynamic algorithms in D. E. Knuth’s model: A probabilistic analysis. Zbl 0746.68041 Louchard, G.; Randrianarimanana, B.; Schott, R. 5 1992 Appell systems on Lie groups. Zbl 0768.33014 Feinsilver, P.; Schott, R. 5 1992 On Bessel functions and rate of convergence of zeros of Lommel polynomials. Zbl 0759.41016 Feinsilver, P.; Schott, R. 2 1992 Probabilistic analysis of some distributed algorithms. Zbl 0732.68055 Louchard, G.; Schott, R. 11 1991 Krawtchouk polynomials and finite probability theory. Zbl 0821.60076 Feinsilver, P.; Schott, R. 8 1991 Non-overlapping partitions, continued fractions, Bessel functions and a divergent series. Zbl 0733.05007 Flajolet, Philippe; Schott, René 13 1990 Analysis of dynamic algorithms in Knuth’s model. Zbl 0698.68018 Françon, J.; Randrianarimanana, B.; Schott, R. 4 1990 Probabilistic analysis of some distributed algorithms. Zbl 0759.68036 Louchard, G.; Schott, R. 3 1990 Special functions and infinite-dimensional representations of Lie groups. Zbl 0663.33005 Feinsilver, P.; Schott, R. 2 1990 An operator approach to processes on Lie groups. Zbl 0681.60013 Feinsilver, Philip; Schott, René 1 1989 Operators, stochastic processes, and Lie groups. Zbl 0681.60014 Feinsilver, Philip; Schott, René 1 1989 Dynamic data structures with finite population: A combinatorial analysis. Zbl 0756.68023 Françon, J.; Randrianarimanana, B.; Schott, R. 1 1989 Analysis of dynamic algorithms in D. E. Knuth’s model. Zbl 0645.68030 Françon, J.; Randrianarimanana, B.; Schott, R. 2 1988 Recurrent random walks on homogeneous spaces. Zbl 0611.60005 Schott, R. 1 1986 Iterated stochastic integrals in nonlinear control theory. Zbl 0615.93074 Schott, R. 1 1986 Marches aléatoires sur les espaces homogenes. Zbl 0526.60011 Schott, René 1 1982 Une loi du logarithme iteré pour certaines intégrales stochastiques. Zbl 0492.60050 Schott, René 5 1981 Irrfahrten auf nicht mittelbaren homogenen Räumen. Zbl 0492.60064 Schott, René 2 1981 Une loi du logarithme iteré pour certaines intégrales stochastiques. Zbl 0507.60077 Schott, René 1 1981 Marches aléatoires sur les espaces homogenes de certains groupes de type rigide. Zbl 0445.60008 Gallardo, Léonard; Schott, René 3 1980 Marches aléatoires sur les espaces homogenes des groupes de Lie nilpotents simplement connexes. Zbl 0478.60019 Prevot, D.; Schott, René 4 1979 Un théorème de structure pour des sous-groupes fermés, connexes des groupes extensions compactes de groupes nilpotents. Zbl 0416.22010 Gallardo, Léonard; Schott, René 1 1979 Marches aléatoires sur les espaces homogenes de groupes de Lie nilpotents, simplement connexes. Zbl 0403.60064 Schott, René 1 1978 all cited Publications top 5 cited Publications all top 5 Cited by 437 Authors 41 Schott, René 11 Czyzowicz, Jurek 11 Kranakis, Evangelos Konstantinou 10 Feinsilver, Philip J. 9 Fel’dman, Gennadiĭ Mikhaĭlovich 9 Franz, Uwe 9 Louchard, Guy 8 Devillers, Olivier 6 Georgiou, Konstantinos 6 Narayanan, Lata 6 Opatrny, Jaroslav 6 Staples, George Stacey 5 Accardi, Luigi 5 Cheong, Otfried 5 Henkel, Malte 5 Mehlhorn, Kurt 5 Myronyuk, Margaryta V”yacheslavivna 5 Neuenschwander, Daniel 4 Boissonnat, Jean-Daniel 4 Deya, Aurélien 4 Dobrev, Stefan 4 Geissmann, Barbara 4 Killick, Ryan 4 Krizanc, Danny 4 Schork, Matthias 4 Sokolov, Andreĭ Vladimirovich 4 Teillaud, Monique 4 Wiener, Gábor 3 Akar, Mutlu 3 Aksenova, E. A. 3 Alonso, Laurent 3 Boukas, Andreas 3 Campoamor-Stursberg, Rutwig 3 Chassaing, Philippe 3 de Berg, Mark Theodoor 3 De Marco, Gianluca 3 Diks, Krzysztof 3 Dobrindt, Katrin T. G. 3 Dominici, Diego Ernesto 3 Dozzi, Marco E. 3 Ellinas, Demosthenes 3 Fleischer, Frank 3 Giscard, Pierre-Louis 3 Gloaguen, Catherine 3 Hosseiny, Ali 3 Leucci, Stefano 3 Liu, Chih-Hung 3 Meiser, Stefan 3 Moussi, Jean 3 Neto, Antônio Francisco 3 Penna, Paolo 3 Privault, Nicolas 3 Raymond, Christopher S. 3 Rytter, Wojciech 3 Schmidt, Hendrik 3 Schmidt, Volker 3 Sezer, Ali Devin 3 Shende, Sunil M. 3 Skalski, Adam G. 2 Aigner, Martin 2 Bampas, Evangelos 2 Bodini, Olivier 2 Christofides, Demetres 2 Clarkson, Kenneth L. 2 Delarue, François 2 Di Bucchianico, Alessandro 2 Dombry, Clément 2 Efrat, Alon 2 Flajolet, Philippe 2 Gao, Dongfang 2 Gao, Shoulan 2 Gąsieniec, Leszek Antoni 2 Gerbner, Dániel 2 Guillotin-Plantard, Nadine 2 Ilcinkas, David 2 Jayapaul, Varunkumar 2 Jørgensen, Palle E. T. 2 Junior, Valdivino V. 2 Keszegh, Balázs 2 Klasing, Ralf 2 Kociumaka, Tomasz 2 Kula, Anna 2 Lazutina, A. A. 2 Liu, Dong 2 López-Mimbela, José Alfredo 2 López-Ortiz, Alejandro 2 Maier, Robert S. 2 Mandal, Ipsita 2 Mansour, Toufik 2 Myers, Timothy G. 2 Pajak, Dominik 2 Pálvölgyi, Dömötör 2 Pankratov, Denis 2 Patkós, Balázs 2 Pei, Yufeng 2 Pianoforte, Federico 2 Raja, Chandiraraj Robinson Edward 2 Raman, Venkatesh 2 Randrianarimanana, B. 2 Rochet, Paul ...and 337 more Authors all top 5 Cited in 128 Serials 30 Theoretical Computer Science 16 Advances in Applied Clifford Algebras 11 Computational Geometry 9 Information Processing Letters 8 Journal of Theoretical Probability 8 Infinite Dimensional Analysis, Quantum Probability and Related Topics 7 Discrete Applied Mathematics 7 Journal of Mathematical Physics 7 Journal of Computational and Applied Mathematics 6 Discrete Mathematics 6 Journal of Functional Analysis 5 Nuclear Physics. 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Académie des Sciences, Paris 2 Quantum Information Processing 2 Complex Analysis and Operator Theory 1 International Journal of Modern Physics A 1 Advances in Applied Probability 1 Artificial Intelligence 1 International Journal of Theoretical Physics 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Physics Letters. A 1 Studia Mathematica 1 Theoretical and Mathematical Physics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Theory of Probability and its Applications 1 Advances in Mathematics 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Probability 1 Applied Mathematics and Optimization 1 Information Sciences 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Mathematics of Operations Research 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Revista de la Unión Matemática Argentina 1 Insurance Mathematics & Economics 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Graphs and Combinatorics 1 Journal of Complexity 1 Statistical Science 1 International Journal of Foundations of Computer Science 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Discrete Mathematics and Applications 1 Aequationes Mathematicae 1 Annals of Physics 1 Automation and Remote Control 1 SIAM Review 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Distributed Computing 1 RAIRO. Informatique Théorique et Applications 1 Stochastics and Stochastics Reports 1 Journal of Algebraic Combinatorics 1 Combinatorics, Probability and Computing 1 The Electronic Journal of Combinatorics 1 Opuscula Mathematica 1 Electronic Journal of Probability 1 Electronic Communications in Probability 1 Bernoulli 1 Documenta Mathematica 1 INFORMS Journal on Computing 1 Doklady Mathematics 1 Mathematical Methods of Operations Research 1 Algebras and Representation Theory ...and 28 more Serials all top 5 Cited in 45 Fields 122 Computer science (68-XX) 91 Probability theory and stochastic processes (60-XX) 65 Combinatorics (05-XX) 47 Quantum theory (81-XX) 32 Linear and multilinear algebra; matrix theory (15-XX) 29 Nonassociative rings and algebras (17-XX) 22 Special functions (33-XX) 20 Functional analysis (46-XX) 16 Topological groups, Lie groups (22-XX) 15 Operator theory (47-XX) 14 Number theory (11-XX) 14 Operations research, mathematical programming (90-XX) 12 Statistics (62-XX) 10 Abstract harmonic analysis (43-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Associative rings and algebras (16-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Numerical analysis (65-XX) 6 Partial differential equations (35-XX) 6 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Information and communication theory, circuits (94-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 3 Mechanics of particles and systems (70-XX) 3 Systems theory; control (93-XX) 2 Commutative algebra (13-XX) 2 Category theory; homological algebra (18-XX) 2 \(K\)-theory (19-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year