2 papers
math.GR2019
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…
math.DS2019
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…