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math.PR2015★ 6 cited
-Martin boundary of killed random walks in the quadrant
Cédric Lecouvey, Kilian Raschel
We compute the -Martin boundary of two-dimensional small steps random walks killed at the boundary of the quarter plane. We further provide explicit expressions for the (generat…
math.PR2015★ 20 cited
The -invariant massive Laplacian on isoradial graphs
Cédric Boutillier, Béatrice de Tilière, Kilian Raschel
We introduce a one-parameter family of massive Laplacian operators defined on isoradial graphs, involving elliptic functions. We prove an explicit formula…