33 citations
- Université de Picardie Jules VerneFR201 papers
- Centre National de la Recherche ScientifiqueFR126 papers
- Laboratoire de Mathématiques Blaise PascalFR10 papers
- Laboratoire de Mathématiques d'OrsayFR9 papers
- University of ChileCL8 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR7 papers
- Center for Mathematical ModelingCL6 papers
- Université Paris-SaclayFR6 papers
- Institut de recherche mathématique de RennesFR5 papers
- Université de LilleFR5 papers
- École Polytechnique Fédérale de LausanneCH4 papers
- Institut de Mathématiques de MarseilleFR4 papers
208 papers
A Liouville-Type Inequality for Values of Mahler M-Functions
Boris Adamczewski, Colin Faverjon
We establish a Liouville-type inequality for the values, at a common nonzero algebraic point, of arbitrary Mahler Mq-functions. As an application, we prove that no such value is a…
Splitting methods for the Gross-Pitaevskii equation on the full space and vortex nucleation
Quentin Chauleur, Gaspard Kemlin
We prove the convergence in Zhidkov spaces of the first-order Lie-Trotter and the second-order Strang splitting schemes for the time integration of the Gross-Pitaesvkii equation wi…
Eigenvector-based acceleration strategies for gradient-type methods
Jean-Paul Chehab, Gaspard Kemlin, Marcos Raydan +1
Several strategies are described and analyzed to speed-up gradient-type methods when applied to the minimization of strictly convex quadratics and strictly convex functions. The pr…
A purity theorem for Mahler equations
Colin Faverjon, Julien Roques
The principal aim of this paper is to establish a purity theorem for Mahler functions that is reminiscent of famous purity theorems for G-functions by D. and G. Chudnovsky and for…
Centralisers of semi-simple elements are semidirect products
François Digne, Jean Michel
Let $\bG$ be a connected reductive algebraic group over an algebraically closed field, and let $s\in\bG$ be a semisimple element. We show that the centraliser of is the semidir…
Computing basis of solutions of any Mahler equation
Colin Faverjon, Marina Poulet
Mahler equations arise in a wide range of contexts including the study of finite automata, regular sequences, algebraic series over Fp(z), and periods of Drinfeld modules. Introduc…