Asymptotic Shannon entropy on G/H equals the spectral radius c(G,H;μ) for finite-entropy measures, with Rényi rates converging and explicit classifications for subgroups having pair rapid decay or subexponential Lorentz control, including equivalence to finite index in SL_n(Z) for n≥3.
Shrinkwrapping and the taming of hyperbolic 3-manifolds.Journal of the American Mathematical Society, 19(2):385–446
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Entropy on Homogeneous Spaces and Classification Results for Subgroups with the Pair Rapid Decay Property
Asymptotic Shannon entropy on G/H equals the spectral radius c(G,H;μ) for finite-entropy measures, with Rényi rates converging and explicit classifications for subgroups having pair rapid decay or subexponential Lorentz control, including equivalence to finite index in SL_n(Z) for n≥3.