3 papers
math.PR2008
Bounded harmonic functions for the Heckman--Opdam Laplacian
Bruno Schapira
We describe the set of bounded harmonic functions for the Heckman--Opdam Laplacian, when the multiplicity function is larger than 1/2. We prove that this set is a vector space of d…
math.CA2006
Heat kernel and Green function estimates on affine buildings of type
Jean-Philippe Anker, Bruno Schapira, Bartosz Trojan
We obtain a global estimate of the transition density associated to a nearest neighbor random walk, called here "simple", on affine buildings of type .…
math.PR2006
The Poisson boundary of triangular matrices in a number field
Bruno Schapira
The aim of this note is to describe the Poisson boundary of the group of invertible triangular matrices with coefficients in a number field. It generalizes to any dimension and to…