On Ruelle's \(\xi\)-function for exponentially decreasing potentials

DOI10.1007/BF01821855zbMath0416.58022OpenAlexW2036499756MaRDI QIDQ754540

Dieter H. Mayer

Publication date: 1979

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01821855

zbMATH Keywords

trace formulacomposition operatornuclear operatorsArtin-Mazur zeta-functiongeneralized zeta functionlattice spin system

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Holomorphic mappings and correspondences (32H99) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Linear operators on function spaces (general) (47B38) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (1)

On the location of poles of Ruelle's zeta-function

Cites Work

• Spectral properties of certain composition operators arising in statistical mechanics
• Produits tensoriels topologiques et espaces nucléaires

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