Dynamics of the continued fraction map and the spectral theory of SL (2, Z)

Isaac Efrat

Type: Article

Publication Date: 1993-12-01

Citations: 43

DOI: https://doi.org/10.1007/bf01232667

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Inventiones mathematicae - View

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Works That Cite This (38)

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+	Dynamical sources in information theory: Fundamental intervals and word prefixes	2001	Brigitte Vallée
+	Selberg zeta functions for spaces of higher rank	2002	Anton Deitmar
+ PDF Chat	Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow	2014	Anke Pohl
+ PDF Chat	Mayer’s transfer operator approach to Selberg’s zeta function	2013	A. Momeni A. B. Venkov
+ PDF Chat	Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant	2011	Marius Möller Anke Pohl
+ PDF Chat	Asymptotics of class numbers	2004	Anton Deitmar Werner Hoffmann
+ PDF Chat	Continued fraction algorithms, functional operators, and structure constants	1998	Philippe Flajolet Brigitte Vallée
+ PDF Chat	A Thermodynamic Formalism Approach to the Selberg Zeta Function for Hecke Triangle Surfaces of Infinite Area	2015	Anke Pohl
+ PDF Chat	Symmetries of the transfer operator for Γ<sub>0</sub>(<i>N</i>) and a character deformation of the Selberg zeta function for Γ<sub>0</sub>(4)	2012	Markus Szymon Fraczek Dieter Mayer
+ PDF Chat	Dynamical sources in information theory: A general analysis of trie structures	2001	Julien Clément Philippe Flajolet Brigitte Vallée

Works Cited by This (17)

Action	Title	Year	Authors
+ PDF Chat	The thermodynamic formalism approach to Selberg’s zeta function for 𝑃𝑆𝐿(2,𝐙)	1991	Dieter Mayer
+	Spectral theory of automorphic functions	1982	Alexei B. Venkov
+	Some applications of thermodynamic formalism to manifolds with constant negative curvature	1991	Mark Pollicott
+	Class numbers of indefinite binary quadratic forms II	1985	Peter Sarnak
+ PDF Chat	Determinants of Laplacians on surfaces of finite volume	1988	Isaac Efrat
+	Zeta-functions for expanding maps and Anosov flows	1976	David Ruelle
+	On a family of Hilbert modular Maass forms	1987	Isaac Efrat
+ PDF Chat	On the thermodynamic formalism for the gauss map	1990	Dieter Mayer
+ PDF Chat	Selberg zeta functions and Ruelle operators for function fields	1991	Shin-ya Koyama
+	The Selberg trace formula for 𝑃𝑆𝐿₂(𝑅)ⁿ	1987	Isaac Efrat