3 citations · 4 across the 17 of their papers we have counts for
4 papers · 1 filter
Amenability of trees
Behrang Forghani, Keivan Mallahi-Karai
We will give a criterion for the amenability of arbitrary locally finite trees. The criterion is based on the trimming operator which is defined on the space of trees. As an applic…
Positive harmonic functions of transformed random walks
Behrang Forghani, Keivan Mallahi-Karai
In this paper, we will study the behavior of the space of positive harmonic functions associated with the random walk on a discrete group under the change of probability measure by…
Distribution of orbits of unipotent groups on S-arithmetic homogeneous spaces
Keivan Mallahi-Karai
We will prove an S-arithmetic version of a theorem of Dani-Margulis on the convergence of ergodic averages of a given bounded continuous function, when the initial point is outside…
Asymptotic distribution of values of isotropic quadratic forms at -integral points
Jiyoung Han, Seonhee Lim, Keivan Mallahi-Karai
We prove an analogue of a theorem of Eskin-Margulis-Mozes: suppose we are given a finite set of places over containing the archimedean place and excluding the prim…