output
20022026
most citedConstant-length substitutions and countable scrambled sets

33 citations

208 papers

math.NT2026

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…

math.AP2026

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…

math.NA2026

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…

math.NT2025

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…

math.GR2025

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…

cs.SC2025

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…