Pressure and variational principle for random Ising model

DOI10.1007/BF01614214zbMath0367.60116MaRDI QIDQ1242390

François Ledrappier

Publication date: 1977

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

zbMATH Keywords

Ising modelEdwards-Anderson modelGriffiths-Lebowitz modelrelativised variational principle

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (13)

Large deviations for lattice systems. I: Parametrized independent fields ⋮ Large deviation estimates for a conditional probability distribution. Applications to random interaction Gibbs measures ⋮ Multidimensional random subshifts of finite type and their large deviations ⋮ Entropy, limit theorems, and variational principles for disordered lattice systems ⋮ Loss of stability in a 1D spin model with a long-range random Hamiltonian ⋮ Interactions and pressure functionals for disordered lattice systems ⋮ Some properties of random Ising models ⋮ Self-averaging of perturbation Hamiltonian density in perturbed spin systems ⋮ Metastates in disordered mean-field models: Random field and Hopfield models ⋮ Unnamed Item ⋮ Large deviations for Ising spin glasses with constrained disorder. ⋮ Proof of rounding by quenched disorder of first order transitions in low-dimensional quantum systems ⋮ Equivalence of relative Gibbs and relative equilibrium measures for actions of countable amenable groups

Cites Work

• The ergodic theorem
• A Relativised Variational Principle for Continuous Transformations
• LECTURES ON THE ENTROPY THEORY OF MEASURE-PRESERVING TRANSFORMATIONS
• Random Spin Systems: Some Rigorous Results

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