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## Dumas, Philippe

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 Author ID: dumas.philippe Published as: Dumas, P.; Dumas, Ph.; Dumas, Philippe
 Documents Indexed: 18 Publications since 1993, including 1 Book
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#### Co-Authors

 3 single-authored 4 Chyzak, Frédéric 3 Bostan, Alin 3 Flajolet, Philippe 2 Gourdon, Xavier 2 Lipmaa, Helger 2 Wallén, Johan 1 Ambrosi, P. 1 Atallah, Mikhail J. 1 Bell, Jason P. 1 Broutin, Nicolas 1 Christol, Gilles 1 Collette, Virginie 1 Coons, Michael 1 Doyen, Laurent 1 Dreyfus, Thomas 1 Litow, Bruce E. 1 Mezzarobba, Marc 1 Puyhaubert, Vincent 1 Salvy, Bruno 1 Thimonier, Loÿs
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#### Serials

 3 Theoretical Computer Science 1 American Mathematical Monthly 1 Discrete Mathematics 1 Mathematics of Computation 1 Gazette des Mathématiciens 1 Transactions of the American Mathematical Society 1 Algorithmica 1 Mathematical and Computer Modelling 1 Linear Algebra and its Applications 1 Journal de Théorie des Nombres de Bordeaux 1 Discrete Mathematics and Theoretical Computer Science. DMTCS
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#### Fields

 11 Computer science (68-XX) 8 Number theory (11-XX) 2 Probability theory and stochastic processes (60-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

13 Publications have been cited 230 times in 222 Documents Cited by Year
Mellin transforms and asymptotics: Harmonic sums. Zbl 0869.68057
Flajolet, Philippe; Gourdon, Xavier; Dumas, Philippe
1995
Some exactly solvable models of urn process theory. Zbl 1193.60011
Flajolet, Philippe; Dumas, Philippe; Puyhaubert, Vincent
2006
Wronskians and linear independence. Zbl 1202.00030
Bostan, Alin; Dumas, Philippe
2010
Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences. Zbl 1368.11005
Dumas, Philippe
2013
A randomized algorithm for approximate string matching. Zbl 0969.68192
Atallah, M. J.; Chyzak, F.; Dumas, P.
2001
Asymptotics of Mahler recurrences: The cyclotomic case. Zbl 0869.11080
Dumas, Philippe; Flajolet, Philippe
1996
Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: algebraic and analytic approaches collated. Zbl 1360.11083
Dumas, Philippe
2014
On the additive differential probability of exclusive-or. Zbl 1079.68551
Lipmaa, Helger; Wallén, Johan; Dumas, Philippe
2004
Additive cellular automata and algebraic series. Zbl 0787.68074
Litow, B.; Dumas, Ph.
1993
Asymptotic behaviour of a non-commutative rational series with a nonnegative linear representation. Zbl 1153.94006
Dumas, Philippe; Lipmaa, Helger; Wallén, Johan
2007
Algebraic aspects of $$\mathrm{B}$$-regular series. Zbl 1418.68128
Dumas, Ph.
1993
Computing solutions of linear Mahler equations. Zbl 1393.39002
Chyzak, Frédéric; Dreyfus, Thomas; Dumas, Philippe; Mezzarobba, Marc
2018
Fast computation of the $$N$$th term of an algebraic series over a finite prime field. Zbl 1364.12009
Bostan, Alin; Christol, Gilles; Dumas, Philippe
2016
Computing solutions of linear Mahler equations. Zbl 1393.39002
Chyzak, Frédéric; Dreyfus, Thomas; Dumas, Philippe; Mezzarobba, Marc
2018
Fast computation of the $$N$$th term of an algebraic series over a finite prime field. Zbl 1364.12009
Bostan, Alin; Christol, Gilles; Dumas, Philippe
2016
Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: algebraic and analytic approaches collated. Zbl 1360.11083
Dumas, Philippe
2014
Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences. Zbl 1368.11005
Dumas, Philippe
2013
Wronskians and linear independence. Zbl 1202.00030
Bostan, Alin; Dumas, Philippe
2010
Asymptotic behaviour of a non-commutative rational series with a nonnegative linear representation. Zbl 1153.94006
Dumas, Philippe; Lipmaa, Helger; Wallén, Johan
2007
Some exactly solvable models of urn process theory. Zbl 1193.60011
Flajolet, Philippe; Dumas, Philippe; Puyhaubert, Vincent
2006
On the additive differential probability of exclusive-or. Zbl 1079.68551
Lipmaa, Helger; Wallén, Johan; Dumas, Philippe
2004
A randomized algorithm for approximate string matching. Zbl 0969.68192
Atallah, M. J.; Chyzak, F.; Dumas, P.
2001
Asymptotics of Mahler recurrences: The cyclotomic case. Zbl 0869.11080
Dumas, Philippe; Flajolet, Philippe
1996
Mellin transforms and asymptotics: Harmonic sums. Zbl 0869.68057
Flajolet, Philippe; Gourdon, Xavier; Dumas, Philippe
1995
Additive cellular automata and algebraic series. Zbl 0787.68074
Litow, B.; Dumas, Ph.
1993
Algebraic aspects of $$\mathrm{B}$$-regular series. Zbl 1418.68128
Dumas, Ph.
1993
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#### Cited by 304 Authors

 16 Mahmoud, Hosam M. 16 Prodinger, Helmut 8 Hwang, Hsien-Kuei 8 Louchard, Guy 8 Wagner, Stephan G. 7 Flajolet, Philippe 7 Fuchs, Michael 7 Szpankowski, Wojciech 6 Heuberger, Clemens 6 Kuba, Markus F. 5 Drmota, Michael 5 Panholzer, Alois 4 Coons, Michael 4 Gerhold, Stefan 4 Simon, Thomas 3 Aguilar, Jean-Philippe 3 Chen, Chen 3 Grabner, Peter J. 3 Jacquet, Philippe 3 Knopfmacher, Arnold 3 Preneel, Bart 3 Rigo, Michel 3 Robert, Philippe 3 Vallée, Brigitte 3 Ward, Mark Daniel 3 Zhang, Panpan 2 Aguech, Rafik 2 Atallah, Mikhail J. 2 Bandyopadhyay, Antar 2 Bell, Jason P. 2 Betel, Heather 2 Bettaibi, Néji 2 Bose, Arup 2 Bourdon, Jérémie 2 Chauvin, Brigitte 2 Cristea, Ligia-Loretta 2 Dasgupta, Amites 2 De Cannière, Christophe 2 Dumas, Philippe 2 Eckstein, Michał 2 Flocchini, Paola 2 Hitczenko, Paweł 2 Hubalek, Friedrich 2 Itoh, Yoshiaki 2 Janson, Svante 2 Jeong, Sangtae 2 Koiran, Pascal 2 Kuijlaars, Arno B. J. 2 Lasmar, Nabil 2 Leroy, Julien 2 Letemplier, Julien 2 Lipsky, Ohad 2 Luca, Florian 2 Lynch, Tammy A. 2 Magner, Abram 2 Mailler, Cécile 2 Mansour, Toufik 2 Maulik, Krishanu 2 Mohamed, Hanène 2 Moon, Sunghwan 2 Mouha, Nicky 2 Munro, J. Ian 2 Nakata, Toshio 2 Petersen, Karl E. 2 Petrushov, Oleg A. 2 Planat, Michel 2 Poblete, Patricio V. 2 Porat, Ely 2 Pouyanne, Nicolas 2 Profeta, Christophe 2 Ralaivaosaona, Dimbinaina 2 Stipulanti, Manon 2 Tomovski, Živorad 2 van Brunt, Bruce 2 Varchenko, Alexander Nikolaevich 2 Velichkov, Vesselin 2 von Haeseler, Fritz 2 Zaidi, Ali Ashher 1 Adamczewski, Boris 1 Albeverio, Sergio A. 1 Alekseychuk, Anton Nikolaevich 1 Alkauskas, Giedrius 1 Allouche, Jean-Paul Simon 1 Almalki, A. 1 Ambartsoumian, Gaik 1 Amini, Omid 1 Antipova, Irina Avgustovna 1 Ayati, Zainab 1 Baba, Kensuke 1 Balakrishnan, Narayanaswamy 1 Balazard, Michel 1 Banderier, Cyril 1 Barbé, André M. 1 Barbero G, J. Fernando 1 Barré, Julien 1 Beaton, Nicholas R. 1 Berthé, Valérie 1 Biazar, Jafar 1 Blasiak, Pawel 1 Blecher, Aubrey ...and 204 more Authors
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#### Cited in 109 Serials

 19 Theoretical Computer Science 11 Journal of Applied Probability 8 Random Structures & Algorithms 6 Advances in Applied Probability 6 Journal of Mathematical Analysis and Applications 6 Advances in Applied Mathematics 6 Statistics & Probability Letters 5 Discrete Mathematics 5 Journal of Number Theory 5 The Annals of Applied Probability 5 Combinatorics, Probability and Computing 4 Journal of Combinatorial Theory. Series A 4 Monatshefte für Mathematik 4 European Journal of Combinatorics 4 Annals of Combinatorics 3 Information Processing Letters 3 Journal of Computational and Applied Mathematics 3 Algorithmica 3 Integers 2 Communications in Mathematical Physics 2 Discrete Applied Mathematics 2 Applied Mathematics and Computation 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Probability Theory and Related Fields 2 Journal of Theoretical Probability 2 Aequationes Mathematicae 2 Stochastic Processes and their Applications 2 Bernoulli 2 The Ramanujan Journal 2 RAIRO. Theoretical Informatics and Applications 2 Methodology and Computing in Applied Probability 1 Acta Informatica 1 Bulletin of the Australian Mathematical Society 1 Classical and Quantum Gravity 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Nonlinearity 1 Nuclear Physics. B 1 Physica A 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 Advances in Mathematics 1 Annals of the Institute of Statistical Mathematics 1 The Annals of Probability 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Approximation Theory 1 Journal of the Korean Mathematical Society 1 Journal of Pure and Applied Algebra 1 Mathematica Scandinavica 1 Quaestiones Mathematicae 1 SIAM Journal on Numerical Analysis 1 Tokyo Journal of Mathematics 1 Mathematical Social Sciences 1 Combinatorica 1 Probability and Mathematical Statistics 1 Annals of Pure and Applied Logic 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Information and Computation 1 SIAM Journal on Discrete Mathematics 1 Elemente der Mathematik 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Indagationes Mathematicae. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Cybernetics and Systems Analysis 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Inverse and Ill-Posed Problems 1 Bulletin des Sciences Mathématiques 1 Integral Transforms and Special Functions 1 Electronic Communications in Probability 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Mathematical Physics, Analysis and Geometry 1 Fractional Calculus & Applied Analysis 1 International Journal of Theoretical and Applied Finance 1 Probability in the Engineering and Informational Sciences 1 Annales Henri Poincaré 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Stochastic Models 1 Statistical Methods and Applications 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Journal of Physics A: Mathematical and Theoretical 1 Far East Journal of Mathematical Education 1 Tbilisi Mathematical Journal 1 Algorithms 1 Probability Surveys ...and 9 more Serials
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#### Cited in 39 Fields

 82 Probability theory and stochastic processes (60-XX) 64 Computer science (68-XX) 63 Combinatorics (05-XX) 49 Number theory (11-XX) 14 Integral transforms, operational calculus (44-XX) 11 Functions of a complex variable (30-XX) 10 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 8 Special functions (33-XX) 8 Information and communication theory, circuits (94-XX) 7 Real functions (26-XX) 7 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Approximations and expansions (41-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Quantum theory (81-XX) 6 Operations research, mathematical programming (90-XX) 5 Algebraic geometry (14-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Difference and functional equations (39-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistics (62-XX) 4 Biology and other natural sciences (92-XX) 3 Associative rings and algebras (16-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Sequences, series, summability (40-XX) 2 Integral equations (45-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Systems theory; control (93-XX)