22 citations · 117 across the 22 of their papers we have counts for
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math.PR2014★ 2 cited
Random Walks in the Quarter-Plane: Advances in Explicit Criterions for the Finiteness of the Associated Group in the Genus 1 Case
Guy Fayolle, Roudolf Iasnogorodski
In the book [FIM], original methods were proposed to determine the invariant measure of random walks in the quarter plane with small jumps, the general solution being obtained via…
math.PR2014★ 16 cited
About a possible analytic approach for walks in the quarter plane with arbitrary big jumps
Guy Fayolle, Kilian Raschel
In this note, we consider random walks in the quarter plane with arbitrary big jumps. We announce the extension to that class of models of the analytic approach of [G. Fayolle, R.…