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

• Autorzy: Andrzej Żuk
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

norm of operator; surface group; random walk

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 72
• Numer: 1
• Strony: 195-206

Daty

wydano

1997

otrzymano

1996-08-01

Twórcy

autor

Andrzej Żuk

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

Bibliografia

• [1] L. Bartholdi, S. Cantat, T. Ceccherini-Silberstein and P. de la Harpe, Estimates for simple random walks on fundamental groups of surfaces, this volume, 173-193.
• [2] P. A. Cherix and A. Valette, On spectra of simple random walks on one-relator groups, Pacific J. Math., to appear.
• [3] Y. Colin de Verdière, Spectres de graphes, Cours de DEA, Grenoble, 1995.
• [4] S. Katok, Fuchsian Groups, The University of Chicago Press, 1992.
• [5] H. Kesten, Symmetric random walks on groups, Trans. Amer. Math. Soc. 92 (1959), 336-354.