4 citations · 4 across the 1 of their papers we have counts for
4 papers
(Non)-escape of mass and equidistribution for horospherical actions on trees
Corina Ciobotaru, Vladimir Finkelshtein, Cagri Sert
Let be a large group acting on a biregular tree and a geometrically finite lattice. In an earlier work, the authors classified orbit closures of the action of the…
On the horofunction boundary of discrete Heisenberg group
Uri Bader, Vladimir Finkelshtein
We consider finitely generated group endowed with a word metric. The group acts on itself by isometries, which induces an action on its horofunction boundary. The conjecture is tha…
Measure rigidity for horospherical subgroups of groups acting on trees
Corina Ciobotaru, Vladimir Finkelshtein, Cagri Sert
We investigate analogues of some of the classical results in homogeneous dynamics in non-linear setting. Let be a closed subgroup of the group of automorphisms of a biregular t…
Diophantine properties of groups of toral automorphisms
Vladimir Finkelshtein
We prove sharp estimates in a shrinking target problem for the action of an arbitrary subgroup of on the 2-torus. This can also be viewed as a non-commutativ…