N. Bogachev

activity

20192025

(1, 2)

-reflective anisotropic hyperbolic lattices of rank

4

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.DS2025

Random walks on cocompact Fuchsian and Kleinian groups

Nikolay Bogachev, Peter Kosenko, Giulio Tiozzo

The question of the singularity at infinity of the hitting measure of random walks has a long history, originating from the work of Furstenberg in the 1960s. In 2011, Kaimanovich a…

math.GT2020

On faces of quasi-arithmetic Coxeter polytopes

Nikolay Bogachev, Alexander Kolpakov

We prove that each lower-dimensional face of a quasi-arithmetic Coxeter polytope, which happens to be itself a Coxeter polytope, is also quasi-arithmetic. We also provide a suffici…

math.AG2019★ 3 cited

Classification of $(1, 2)$ -reflective anisotropic hyperbolic lattices of rank $4$

Nikolay V. Bogachev

A hyperbolic lattice is called \textit{ $(1, 2)$ -reflective} if its automorphism group is generated by $1$ - and $2$ -reflections up to finite index. In this paper we prove that the…

Random walks on cocompact Fuchsian and Kleinian groups

On faces of quasi-arithmetic Coxeter polytopes

Classification of (1,2)-reflective anisotropic hyperbolic lattices of rank 4

Classification of $(1, 2)$ -reflective anisotropic hyperbolic lattices of rank $4$