On the harmonic measure of stable processes

Abstract: This paper deals with random walks on isometry groups of Gromov hyperbolic spaces, and more precisely with the dimension of the harmonic measure ν associated with such

This is the third part of our project initiated in Lin and Wang [31] on the study of the weakly convergent sequence of smooth (or certain classes of weak) solutions to the heat

The σ -finite measure P sup which unifies supremum penalisations for a stable Lévy process is introduced1. Silverstein’s coinvariant and coharmonic functions for Lévy processes

In [3] it is shown that the dimension of the harmonic measure of the complementary of 4-comer Cantor sets is strictly smaller than the... Hausdorff dimension of

PINSKY, The mean exit time from a small geodesic ball in a Riemannian manifold, Bulletin des Sciences Mathématiques, t. WILLMORE, Mean-value theorems for Riemannian

We also give some necessary conditions for the continuity of p-stable random Fourier integrals which extend results of Nisio and Salem-Zygmund for the case p =

This result will be proved in Section 2, as an application of a characterization, proved in Section 1, of harmonic measure (or more generally the exit distribution for a

For every chroma system there are printed the number of harmonic forms, the count of rows and columns in the formal context (describing the order of the harmonic forms), and the