3 papers
math.GR2026
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…
math.DS2025
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…
math.DS2025
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…