On the spectrum of asymptotic entropies of random walks

Abstract

Given a random walk on a free group, we study the random walks it induces on the group's quotients. We show that the spectrum of asymptotic entropies of the induced random walks has no isolated points, except perhaps its maximum.

References in corpus (2)

• Asymptotic entropy and green speed for random walks on countable groups
• Maximal subgroups of groups of intermediate growth

Cited by in corpus (2)

• Random walks on dense subgroups of locally compact groups
• Full realization of ergodic IRS entropy in SL2(Z) and free groups