42 citations · 260 across the 31 of their papers we have counts for
6 papers · 1 filter
Hypertranscendence of solutions of Mahler equations
Thomas Dreyfus, Charlotte Hardouin, Julien Roques
The last years have seen a growing interest from mathematicians in Mahler functions. This class of functions includes the generating series of the automatic sequences. The present…
Real difference Galois theory
Thomas Dreyfus
In this paper, we develop a difference Galois theory in the setting of real fields. After proving the existence and uniqueness of the real Picard-Vessiot extension, we define the r…
Liouville integrability: an effective Morales-Ramis-Simó theorem
Ainhoa Aparicio-Monforte, Thomas Dreyfus, Jacques-Arthur Weil
Consider a complex Hamiltonian system and an integral curve. In this paper, we give an effective and efficient procedure to put the variational equation of any order along the inte…
Isomonodromic deformation of q-difference equations and confluence
Thomas Dreyfus
We study isomonodromic deformation of Fuchsian linear q-difference systems. Furthermore, we are looking of the behaviour of the Birkhoff connexion matrix when q goes to . We use…
-Borel-Laplace summation for -difference equations with two slopes
Thomas Dreyfus, Anton Eloy
In this paper, we consider linear -difference systems with coefficients that are germs of meromorphic functions, with Newton polygon that has two slopes. Then, we explain how to…
q-Deformation of Meromorphic Solutions of Linear Differential Equations
Thomas Dreyfus
In this paper, we consider the behaviour, when goes to , of the set of a convenient basis of meromorphic solutions of a family of linear -difference equations. In particu…