42 citations · 260 across the 31 of their papers we have counts for
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math.CO2020★ 5 cited
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…
math.CO2020★ 7 cited
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…