43 citations · 93 across the 21 of their papers we have counts for
22 papers
Finite dimensional amenable groups
Anna Erschler, Ivan Mitrofanov
We show that an amenable group of finite Assouad-Nagata dimension satisfies the property of Shalom. Such infinite groups are known to admit a virtual homomorphism onto $\m…
Poisson Boundary for Upper-Triangular Groups
Anna Erschler, Josh Frisch, Mark Rychnovsky
We prove that finite entropy random walks on the torsion-free Baumslag group in dimension have non-trivial Poisson boundary. This is in contrast with the torsion case where t…
Poisson boundary of group extensions
Anna Erschler, Joshua Frisch
Given a finitely generated group, the well-known Stability Problem asks whether the non-triviality of the Poisson-Furstenberg boundary (which is equivalent to the existence of non-…
Assouad-Nagata dimension and gap for ordered metric spaces
Anna Erschler, Ivan Mitrofanov
We prove that all spaces of finite Assouad-Nagata dimension admit a good order for Travelling Salesman Problem, and provide sufficient conditions under which the converse is true.…
Law of large numbers for the drift of two-dimensional wreath product
Anna Erschler, Tianyi Zheng
We prove the law of large numbers for the drift of random walks on the two-dimensional lamplighter group, under the assumption that the random walk has finite -moment. This…
Spaces that can be ordered effectively: virtually free groups and hyperbolicity
Anna Erschler, Ivan Mitrofanov
We study asymptotic invariants of metric spaces, defined in terms of the travelling salesman problem, and our goal is to classify groups and spaces depending on how well they can b…