A remark on the norm of a random walk on surface groups

Andrzej Żuk

ArticleOriginal scientific text

Title

A remark on the norm of a random walk on surface groups

Authors ¹

Affiliations

Institute of Mathematics, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

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.

Keywords

ENG

norm of operator, surface group, random walk

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S. Katok, Fuchsian Groups, The University of Chicago Press, 1992.
H. Kesten, Symmetric random walks on groups, Trans. Amer. Math. Soc. 92 (1959), 336-354.

Title

A remark on the norm of a random walk on surface groups

Affiliations

Abstract

Keywords

Bibliography