53 citations · 489 across the 66 of their papers we have counts for
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math.CO2015★ 19 cited
Counting quadrant walks via Tutte's invariant method (extended abstract)
O Bernardi, M Bousquet-Mélou, Kilian Raschel
In the 1970s, Tutte developed a clever algebraic approach, based on certain "invariants" , to solve a functional equation that arises in the enumeration of properly colored triangu…
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…