Markov processes on the boundary of the binary tree
Martin boundaries of some branching processes
Martin boundary associated with a system of PDE
In this paper, we study the Martin boundary associated with a harmonic structure given by a coupled partial differential equations system. We give an integral representation for non negative harmonic functions of this structure. In particular, we obtain such results for biharmonic functions (i.e. ) and for non negative solutions of the equation .
Martin boundary for homogeneous riemannian manifolds of negative curvature at the bottom of the spectrum.
In this paper we treat noncoercive operators on simply connected homogeneous manifolds of negative curvature.
Martin boundary for Schrödinger operators with singularity.
Martingales et changement de temps
Minimal thinness for subordinate Brownian motion in half-space
We study minimal thinness in the half-space for a large class of subordinate Brownian motions. We show that the same test for the minimal thinness of a subset of below the graph of a nonnegative Lipschitz function is valid for all processes in the considered class. In the classical case of Brownian motion this test was proved by Burdzy.
More on existence and uniqueness of decomposition of excessive functions and measures into extremes