Free energy as a dynamical invariant (or can you hear the shape of a potential?)

DOI10.1007/s00220-003-0905-6zbMath1078.82005OpenAlexW2134073578MaRDI QIDQ1416932

Mark Pollicott, Howard Weiss

Publication date: 16 December 2003

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

Full work available at URL: https://doi.org/10.1007/s00220-003-0905-6

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical aspects of statistical mechanics (37A60)

Related Items (10)

Rigidity of entropy spectra for one-parameter family of polynomials ⋮ A statistical mechanics approach for a rigidity problem ⋮ Degeneracy in the length spectrum for metric graphs ⋮ On multifractal rigidity ⋮ Finite group extensions of shifts of finite type: -theory, Parry and Livšic ⋮ Spatio-temporal spike train analysis for large scale networks using the maximum entropy principle and Monte Carlo method ⋮ Multifractal nonrigidity of topological Markov chains ⋮ A counterexample to the multifractal rigidity conjecture of piecewise linear Markov maps of the interval ⋮ Multifractal Analysis for Gibbs Ground States ⋮ Free energy as a geometric invariant

Cites Work

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• Geometry and spectra of compact Riemann surfaces

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