Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces

DOI10.1007/s10711-018-0386-6zbMath1441.11226OpenAlexW2892183272WikidataQ129325028 ScholiaQ129325028MaRDI QIDQ2312733

Mark Pollicott, Polina Vytnova

Publication date: 17 July 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-018-0386-6

zbMATH Keywords

Selberg zeta functiontransfer operatorinfinite area surface

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (2)

Hyperbolic systems, zeta functions and other friends ⋮ Numerical resonances for Schottky surfaces via Lagrange–Chebyshev approximation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions
• Resonances and density bounds for convex co-compact congruence subgroups of \(\mathrm{SL}_2(\mathbb Z)\)
• On the critical line of convex co-compact hyperbolic surfaces
• An analogue of the prime number theorem for closed orbits of shifts of finite type and their suspensions
• Some applications of thermodynamic formalism to manifolds with constant negative curvature
• Zeta-functions for expanding maps and Anosov flows
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Sinai billiards, Ruelle zeta-functions and Ruelle resonances: microwave experiments
• The Selberg zeta function for convex co-compact Schottky groups
• The divisor of Selberg's zeta function for Kleinian groups. Appendix A by Charles Epstein
• Resonance chains and geometric limits on Schottky surfaces
• Lectures on geodesics in Riemannian geometry
• Expanding maps on Cantor sets and analytic continuation of zeta functions
• The Chebotarov theorem for Galois coverings of Axiom A flows
• La théorie de Fredholm
• The thermodynamic formalism approach to Selberg’s zeta function for 𝑃𝑆𝐿(2,𝐙)
• On the Ruelle eigenvalue sequence
• Geometrical Markov coding of geodesics on surfaces of constant negative curvature
• Hausdorff dimension and conformal dynamics, III: Computation of dimension
• Calculating Hausdorff dimension of Julia sets and Kleinian limit sets
• Distribution of Resonances for Hyperbolic Surfaces
• Produits tensoriels topologiques et espaces nucléaires

This page was built for publication: Zeros of the Selberg zeta function for symmetric infinite area hyperbolic surfaces