30 citations · 47 across the 7 of their papers we have counts for
7 papers
Riesz transform, function spaces and their applications on infinite dimensional compact groups
Alexander Bendikov, Li Chen, Laurent Saloff-Coste
On a compact connected group , consider the infinitesimal generator of a central symmetric Gaussian convolution semigroup . We establish several regularity res…
Brownian motion on treebolic space: positive harmonic functions
Alexander Bendikov, Laurent Saloff-Coste, Maura Salvatori +1
Treebolic space HT(q,p) is a key example of a strip complex in the sense of Bendikov, Saloff-Coste, Salvatori, and Woess [Adv. Math. 226 (2011), 992-1055]. It is an analog of the S…
Brownian motion on treebolic space: escape to infinity
Alexander Bendikov, Laurent Saloff-Coste, Maura Salvatori +1
Treebolic space is an analog of the Sol geometry, namely, it is the horocylic product of the hyperbolic upper half plane H and the homogeneous tree T with degree p+1 > 2, the latte…
Random walks driven by low moment measures
Alexander Bendikov, Laurent Saloff-Coste
We study the decay of convolution powers of probability measures without second moment but satisfying some weaker finite moment condition. For any locally compact unimodular group…
The heat semigroup and Brownian motion on strip complexes
Alexander Bendikov, Laurent Saloff-Coste, Maura Salvatori +1
We introduce the notion of strip complex. A strip complex is a special type of complex obtained by gluing "strips" along their natural boundaries according to a given graph structu…
Spectral distribution and -isoperimetric profile of Laplace operators on groups
Alexander Bendikov, Christophe Pittet, Roman Sauer
We give a formula relating the -isoperimetric profile to the spectral distribution of the Laplace operator associated to a finitely generated group or a Riemannian manifol…