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math.PR2018★ 2 cited
Boundary behavior for random walks in cones
Kilian Raschel, Pierre Tarrago
We study the asymptotic behavior of zero-drift random walks confined to multidimensional convex cones, when the endpoint is close to the boundary. We derive a local limit theorem i…
math.CO2018
Alcove random walks, k-Schur functions and the minimal boundary of the k-bounded partition poset
Cédric Lecouvey, Pierre Tarrago
We use k-Schur functions to get the minimal boundary of the k-bounded partition poset. This permits to describe the central random walks on affine Grassmannian elements of type A a…