1 citations · 1 across the 3 of their papers we have counts for
6 papers
Hyper-hyperfiniteness and complexity
Joshua Frisch, Forte Shinko, Zoltan Vidnyanszky
We show that if there exists a countable Borel equivalence relation which is hyper-hyperfinite but not hyperfinite then the complexity of hyperfinite countable Borel equivalence re…
Quasi-Regular Sequences
Joshua Frisch, Wade Hann-Caruthers, Pooya Vahidi Ferdowsi
Let be a countable alphabet. For , an infinite sequence with characters from is called -quasi-regular, if for each the ratio of the longest to short…
Quotients by countable subgroups are hyperfinite
Joshua Frisch, Forte Shinko
We show that for any Polish group and any countable normal subgroup , the coset equivalence relation is a hyperfinite Borel equivalence relation. In par…
Non-virtually nilpotent groups have infinite conjugacy class quotients
Joshua Frisch, Pooya Vahidi Ferdowsi
We offer in this note a self-contained proof of the fact that a finitely generated group is not virtually nilpotent if and only if it has a quotient with the infinite conjugacy cla…
Choquet-Deny groups and the infinite conjugacy class property
Joshua Frisch, Yair Hartman, Omer Tamuz +1
A countable discrete group is called Choquet-Deny if for every non-degenerate probability measure on it holds that all bounded -harmonic functions are constant. We s…
Measurable Riemannian structure on higher dimensional harmonic Sierpinski gaskets
Sara Chari, Joshua Frisch, Daniel J. Kelleher +1
We prove existence of a measurable Riemannian structure on higher-dimensional harmonic Sierpinski gasket fractals and deduce Gaussian heat kernel bounds in the geodesic metric. Our…