N. Bogachev

activity

20162026

most citedOn faces of quasi-arithmetic Coxeter polytopes

9 citations · 16 across the 14 of their papers we have counts for

collaborators

Showing 2026Show all

2 papers · 1 filter

math.DS2026

Singularity of harmonic measures for hyperbolic lattices

Nikolay Bogachev

Let $Γ < Isom (H^{n})$ , $n \geq 2$ , be a cocompact lattice containing a convex cocompact codimension-one subgroup in the sense of Sageev. We prove that every finitely sup…

math.GR2026

Proof of the positive trace gap conjecture

Nikolay Bogachev

We prove that a lattice $Γ$ in $PSL_{2} (R)$ or $PSL_{2} (C)$ has positive trace gap, meaning that its traces are uniformly separated, if and only if i…