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math.GR2026
Non Uniform Kazhdan Constant for Linear Groups
Alexander Lubotzky, Jvbin Yao
A group generated by a finite set has Property if the associated Kazhdan constant is positive. If so, the same holds for every finite generating set . The…
math.GR2026
Entropy on Homogeneous Spaces and Classification Results for Subgroups with the Pair Rapid Decay Property
Jvbin Yao
We study pair rapid decay for homogeneous spaces \(G/H\) and its applications to random walks and subgroup structure. The entropy framework for groups with rapid decay is extended…