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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…