Computability of Topological Pressure for Shifts of Finite Type with Applications in Statistical Physics

DOI10.1016/j.entcs.2008.03.028zbMath1262.03094OpenAlexW1986140819MaRDI QIDQ4918050

Christoph Spandl

Publication date: 3 May 2013

Published in: Electronic Notes in Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.entcs.2008.03.028

zbMATH Keywords

statistical physicstopological pressuretype-2 computabilityshift dynamical systems

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Computation over the reals, computable analysis (03D78)

Related Items (3)

Computability and Dynamical Systems ⋮ Computability, noncomputability, and hyperbolic systems ⋮ Quantitative recurrence properties in the historic set for symbolic systems

Cites Work

• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Non-negative matrices and Markov chains. 2nd ed
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• A variational characterization of one-dimensional countable state Gibbs random fields
• An Introduction to Symbolic Dynamics and Coding
• Computing the Topological Entropy of Shifts
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Computability of Topological Pressure for Shifts of Finite Type with Applications in Statistical Physics