3 papers
math.LO2025
Cofinal families of finite VC-dimension
Omer Ben-Neria, Itay Kaplan, George Peterzil
Given infinite cardinals , we ask for the minimal VC-dimension of a cofinal family . We show that for and it is consistent…
math.GT2025
Irrationality of the Length Spectrum
George Peterzil, Guy Sapire
It is a classical result of Dal'Bo that the length spectrum of a non-elementary Fuchsian group is non-arithmetic, namely, it generates a dense additive subgroup of . In…
math.DS2024
Uncountable Hyperfiniteness and The Random Ratio Ergodic Theorem
Nachi Avraham-Re'em, George Peterzil
We show that the orbit equivalence relation of a free action of a locally compact group is hyperfinite (à la Connes-Feldman-Weiss) precisely when it is 'hypercompact'. This implies…