69 citations · 72 across the 7 of their papers we have counts for
7 papers
Martin kernel for fractional Laplacian in narrow cones
Krzysztof Bogdan, Bartłomiej Siudeja, Andrzej Stós
We give a power law for the homogeneity degree of the Martin kernel of the fractional Laplacian for the right circular cone when the angle of the cone tends to zero.
On measures driven by Markov chains
Yanick Heurteaux, Andrzej Stos
We study measures on which are driven by a finite Markov chain and which generalize the famous Bernoulli products. We propose a hands-on approach to determine the structure…
Poincaré Inequality and Hajlasz-Sobolev spaces on nested fractals
Katarzyna Pietruska-Pałuba, Andrzej Stos
Given a nondegenerate harmonic structure, we prove a Poincaré-type inequality for functions in the domain of the Dirichlet form on nested fractals. We then study the Hajlasz-Sobole…
Spectral properties of the Cauchy process
Tadeusz Kulczycki, Mateusz Kwaśnicki, Jacek Małecki +1
We study the spectral properties of the transition semigroup of the killed one-dimensional Cauchy process on the half-line (0,infty) and the interval (-1,1). This process is relate…
Stable semigroups on homogeneous trees and hyperbolic spaces
Andrzej Stos
We prove the kernel estimates related to subordinated semigroups on homogeneous trees. We study the long time propagation problem. We exploit this to show exit time estimates for (…
Poisson kernels of half-spaces in real hyperbolic spaces
T. Byczkowski, P. Graczyk, A. Stos
We provide an integral formula for the Poisson kernel of half-spaces for Brownian motion in real hyperbolic space $\H^n$. This enables us to find asymptotic properties of the kerne…