Philippe Dumas

According to our database, Philippe Dumas authored at least 19 papers between 1993 and 2024.

Collaborative distances:

• Dijkstra number of three.
• Erdős number of three.

2024

First-order factors of linear Mahler operators.

Frédéric Chyzak, Thomas Dreyfus, Philippe Dumas, Marc Mezzarobba

CoRR, 2024

2020

A Gröbner-basis theory for divide-and-conquer recurrences.

Frédéric Chyzak, Philippe Dumas

Proceedings of the ISSAC '20: International Symposium on Symbolic and Algebraic Computation, 2020

2018

Computing solutions of linear Mahler equations.

Frédéric Chyzak, Thomas Dreyfus, Philippe Dumas, Marc Mezzarobba

Math. Comput., 2018

Fast Coefficient Computation for Algebraic Power Series in Positive Characteristic.

Alin Bostan, Xavier Caruso, Gilles Christol, Philippe Dumas

CoRR, 2018

Becker's conjecture on Mahler functions.

Jason P. Bell, Frédéric Chyzak, Michael Coons, Philippe Dumas

CoRR, 2018

2016

Fast computation of the $N$th term of an algebraic series in positive characteristic.

Alin Bostan, Gilles Christol, Philippe Dumas

CoRR, 2016

Fast Computation of the Nth Term of an Algebraic Series over a Finite Prime Field.

Alin Bostan, Gilles Christol, Philippe Dumas

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016

2014

Asymptotic expansions for linear homogeneous divide-and-conquer recurrences: Algebraic and analytic approaches collated.

Philippe Dumas

Theor. Comput. Sci., 2014

2013

Rational series and asymptotic expansion for linear homogeneous divide-and-conquer recurrences.

Philippe Dumas

CoRR, 2013

2010

Wronskians and Linear Independence.

Alin Bostan, Philippe Dumas

Am. Math. Mon., 2010

2008

Mean asymptotic behaviour of radix-rational sequences and dilation equations (Extended version)

Philippe Dumas

CoRR, 2008

2007

Asymptotic Behaviour of a Non-commutative Rational Series with a Nonnegative Linear Representation.

Philippe Dumas, Helger Lipmaa, Johan Wallén

Discret. Math. Theor. Comput. Sci., 2007

2004

On the Additive Differential Probability of Exclusive-Or.

Helger Lipmaa, Johan Wallén, Philippe Dumas

Proceedings of the Fast Software Encryption, 11th International Workshop, 2004

2001

A Randomized Algorithm for Approximate String Matching.

Mikhail J. Atallah, Frédéric Chyzak, Philippe Dumas

Algorithmica, 2001

1995

Mellin Transforms and Asymptotics: Harmonic Sums.

Philippe Flajolet, Xavier Gourdon, Philippe Dumas

Theor. Comput. Sci., 1995

Random palindromes: multivariate generating function and Bernoulli density.

Philippe Dumas, Loÿs Thimonier

Discret. Math., 1995

1993

Récurrences mahlériennes, suites automatiques, études asymptotiques. (Mahlerian recurrences, automatic sequences, asymptotic studies).

Philippe Dumas

PhD thesis, 1993

Additive Cellular Automata and Algebraic Series.

Bruce E. Litow, Philippe Dumas

Theor. Comput. Sci., 1993

Algebraic Aspects of B-regular Series.

Philippe Dumas

Proceedings of the Automata, Languages and Programming, 20nd International Colloquium, 1993