Symbolic dynamics for triangle groups

DOI10.1007/s002220050084zbMath0878.58022OpenAlexW1967936406MaRDI QIDQ1923252

David Fried

Publication date: 8 January 1998

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002220050084

zbMATH Keywords

symbolic dynamicsSelberg zeta functionMarkov partitionnonuniform hyperbolic triangle group

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Continued fractions; complex-analytic aspects (30B70) Low-dimensional dynamical systems (37E99) Metric theory of continued fractions (11K50) Dynamical systems with hyperbolic behavior (37D99)

Related Items (13)

Ideal tilings and symbolic dynamics for negatively curved surfaces ⋮ Hecke triangle groups, transfer operators and Hausdorff dimension ⋮ Billiards on Pythagorean triples and their Minkowski functions ⋮ Symbolic dynamics for the geodesic flow on two-dimensional hyperbolic good orbifolds ⋮ Commensurable continued fractions ⋮ Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant ⋮ Reduction theory over quadratic imaginary fields ⋮ A thermodynamic formalism approach to the Selberg zeta function for Hecke triangle surfaces of infinite area ⋮ Coding of geodesics on some modular surfaces and applications to odd and even continued fractions ⋮ Meromorphic continuation of Selberg zeta functions with twists having non-expanding cusp monodromy ⋮ Adinkras, dessins, origami, and supersymmetry spectral triples ⋮ A transfer-operator-based relation between Laplace eigenfunctions and zeros of Selberg zeta functions ⋮ Symbolic dynamics for the modular surface and beyond

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