42 citations · 260 across the 31 of their papers we have counts for
4 papers · 1 filter
Algebraic independence and linear difference equations
Boris Adamczewski, Thomas Dreyfus, Charlotte Hardouin +1
We consider pairs of automorphisms acting on fields of Laurent or Puiseux series: pairs of shift operators , of -differ…
On the nature of four models of symmetric walks avoiding a quadrant
Thomas Dreyfus, Amélie Trotignon
We study the nature of the generating series of some models of walks with small steps in the three quarter plane. More precisely, we restrict ourselves to the situation where the g…
Degeneration from difference to differential Okamoto spaces for the sixth Painlevé equation
Thomas Dreyfus, Viktoria Heu
In the current paper we study the -analogue introduced by Jimbo and Sakai of the well known Painlevé VI differential equation. We explain how it can be deduced from a -analog…
On the Kernel curves associated with walks in the quarter plane
Thomas Dreyfus, Charlotte Hardouin, Julien Roques +1
The kernel method is an essential tool for the study of generating series of walks in the quarter plane. This method involves equating to zero a certain polynomial, the kernel poly…