In 1990, Schnyder used a 3-spanning-tree decomposition of a simple triangulation, now
known as the Schnyder wood, to give a fundamental grid-embedding algorithm for planar …

We construct a new family of random permutons, called skew Brownian permuton, which
describes the limits of several models of random constrained permutations. This family is …

Baxter permutations, plane bipolar orientations, and a specific family of walks in the
nonnegative quadrant, called tandem walks, are well-known to be related to each other …

We study the low-temperature $(2+ 1) $ D solid-on-solid model on with zero boundary
conditions and nonnegative heights (a floor at height $0 $). Caputo et al.(2016) established …

We construct a new family of random permutons, called skew Brownian permuton, which
describes the limits of several models of random constrained permutations. This family is …

The skew Brownian permuton is a new universal family of random permutons, depending on
two parameters, which should describe the permuton limit of several models of pattern …

Let S (n) be a centered random walk with finite second moment. We consider the integrated
random walk T (n)= S (0)+ S (1)+⋯+ S (n). We prove invariance principles for the meander …

In this paper we consider a multidimensional random walk killed on leaving a right circular
cone with a distribution of increments belonging to the normal domain of attraction of an …

Bipolar orientations of planar maps have recently attracted some interest in combinatorics,
probability theory and theoretical physics. Plane bipolar orientations with $ n $ edges are …

We determine the asymptotic behavior of the Green function for zero-drift random walks
confined to multidimensional convex cones. As a consequence, we prove that there is a …