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.
Asymptotic rényi entropies of random walks on groups.Electronic Journal of Probability, 29:1–20
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.GR 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.