A remark on the norm of a random walk on surface groups
Colloquium Mathematicum, Tome 72 (1997) no. 1, pp. 195-206
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.
@article{10_4064_cm_72_1_195_206,
author = {Andrzej \.Zuk},
title = {A remark on the norm of a random walk on surface groups},
journal = {Colloquium Mathematicum},
pages = {195--206},
year = {1997},
volume = {72},
number = {1},
doi = {10.4064/cm-72-1-195-206},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-72-1-195-206/}
}
Andrzej Żuk. A remark on the norm of a random walk on surface groups. Colloquium Mathematicum, Tome 72 (1997) no. 1, pp. 195-206. doi: 10.4064/cm-72-1-195-206
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