A dynamical approach to Maass cusp forms

DOI10.3934/jmd.2012.6.563zbMath1273.37016arXiv1208.6178OpenAlexW2325015015MaRDI QIDQ1940228

Anke D. Pohl

Publication date: 6 March 2013

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.6178

zbMATH Keywords

dynamical systemsMaass cusp formstransfer operator

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (11)

Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds ⋮ Period Functions for Maass Wave Forms and Cohomology ⋮ Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume ⋮ Spectral correspondences for rank one locally symmetric spaces: the case of exceptional parameters ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ Holomorphic Automorphic Forms and Cohomology ⋮ A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area ⋮ Odd and even Maass cusp forms for Hecke triangle groups, and the billiard flow ⋮ Series expansions for Maass forms on the full modular group from the Farey transfer operators ⋮ A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions ⋮ Dynamics of geodesics, and Maass cusp forms

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