Meromorphic extensions of a class of zeta functions for two-dimensional billiards without eclipse

DOI10.2748/TMJ/1182180733zbMath1133.37011OpenAlexW2091646637MaRDI QIDQ2472593

Takehiko Morita

Publication date: 22 February 2008

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1182180733

zbMATH Keywords

thermodynamic formalismdynamical zeta functiondispersing billiards without eclipse

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (5)

Marked length spectral determination of analytic chaotic billiards with axial symmetries ⋮ Resonances and weighted zeta functions for obstacle scattering via smooth models ⋮ Projective cones for sequential dispersing billiards ⋮ Closed billiards trajectories with prescribed bounces ⋮ Meromorphic extensions of a class of zeta functions for two-dimensional billiards without eclipse

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