Entropies and Poisson boundaries of random walks on groups with rapid
decay
Entropies and Poisson boundaries of random walks on groups with rapid
decay
Let $G$ be a countable group and $\mu$ a probability measure on $G$. We build a new framework to compute asymptotic quantities associated with the $\mu$-random walk on $G$, using methods from harmonic analysis on groups and Banach space theory, most notably the complex interpolation. It is shown that under …