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**1 - 6**of**6**### Explicit eigenvalue estimates for transfer operators acting on spaces of holomorphic functions

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### On the Ruelle eigenvalue sequence

- Ergodic Theory and Dynamical Systems
, 2008

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### COMPUTATION OF SELBERG ZETA FUNCTIONS ON HECKE TRIANGLE GROUPS

, 804

"... ABSTRACT. In this paper, a heuristic method to compute the Selberg zeta function for Hecke triangle groups, Gq is described. The algorithm is based on the transfer operator method and an overview of the relevant background is given.We give numerical support for the claim that the method works and ca ..."

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ABSTRACT. In this paper, a heuristic method to compute the Selberg zeta function for Hecke triangle groups, Gq is described. The algorithm is based on the transfer operator method and an overview of the relevant background is given.We give numerical support for the claim that the method works and can be used to compute the Selberg Zeta function on Gq to any desired precision. We also present some numerical results obtained by implementing the algorithm. CONTENTS

### Explicit

"... eigenvalue estimates for transfer operators acting on spaces of holomorphic functions ..."

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eigenvalue estimates for transfer operators acting on spaces of holomorphic functions

### Explicit

"... eigenvalue estimates for transfer operators acting on spaces of holomorphic functions ..."

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eigenvalue estimates for transfer operators acting on spaces of holomorphic functions

### On the Ruelle eigenvalue sequence

, 802

"... Abstract. For certain real analytic data, we show that the eigenvalue sequence of the associated transfer operator L is insensitive to the holomorphic function space on which L acts. Explicit bounds on this eigenvalue sequence are established. 1. ..."

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Abstract. For certain real analytic data, we show that the eigenvalue sequence of the associated transfer operator L is insensitive to the holomorphic function space on which L acts. Explicit bounds on this eigenvalue sequence are established. 1.