6 citations · 13 across the 11 of their papers we have counts for
12 papers
Non-stability of Liouville measures under convex combinations
Behrang Forghani, Joshua Frisch
For every non-hyper-FC-central countable amenable group and every , we provide a sequence of symmetric, fully supported probability measures such that their convex combina…
The Poisson boundary of discrete subgroups of semisimple Lie groups without moment conditions
Kunal Chawla, Behrang Forghani, Joshua Frisch +1
We show that the Poisson boundary of random walks of finite entropy on Zariski-dense discrete subgroups of semisimple Lie groups equals the Furstenberg boundary of the correspondin…
Singularity of compound stationary measures
Behrang Forghani, Vadim Kaimanovich
We show that the product or convex combination of two Markov operators with equivalent stationary measures need not have a stationary measure from the same measure class. More spec…
The Poisson boundary of hyperbolic groups without moment conditions
Kunal Chawla, Behrang Forghani, Joshua Frisch +1
We prove that the Poisson boundary of a random walk with finite entropy on a non-elementary hyperbolic group can be identified with its hyperbolic boundary, without assuming any mo…
Compactifications of horospheric products
Behrang Forghani, Keivan Mallahi-Karai
We define and study a new compactification, called the height compactification of the horospheric product of two infinite trees. We will provide a complete description of this comp…
On Transformations of Markov Chains and Poisson Boundary
Iddo Ben-Ari, Behrang Forghani
A discrete-time Markov chain can be transformed into a new Markov chain by looking at its states along iterations of an almost surely finite stopping time. By the optional stopping…
Shannon's theorem for locally compact groups
Behrang Forghani, Giulio Tiozzo
We consider random walks on locally compact groups, extending the geometric criteria for the identification of their Poisson boundary previously known for discrete groups. First, w…
Random walks of infinite moment on free semigroups
Behrang Forghani, Giulio Tiozzo
We consider random walks on finitely or countably generated free semigroups, and identify their Poisson boundaries for classes of measures which fail to meet the classical entropy…
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…
Asymptotic entropy of transformed random walks
Behrang Forghani
We consider general transformations of random walks on groups determined by Markov stopping times and prove that the asymptotic entropy (resp., rate of escape) of the transformed r…
Transformations of random walks on groups via Markov stopping times
Behrang Forghani
We describe a new construction of a family of measures on a group with the same Poisson boundary. Our approach is based on applying Markov stopping times to an extension of the ori…