A remark on the norm of a random walk on surface groups
Volume 72 / 1997
Colloquium Mathematicum 72 (1997), 195-206
DOI: 10.4064/cm-72-1-195-206
Abstract
We show that the norm of the random walk operator on the Cayley graph of the surface group in the standard presentation is bounded by 1/√g where g is the genus of the surface.