Statistical Mechanics of Disordered Systems

DOI10.1017/CBO9780511616808zbMath1246.82001MaRDI QIDQ2881425

Anton Bovier

Publication date: 2 May 2012

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Classical equilibrium statistical mechanics (general) (82B05) Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

Related Items

Generalized random energy models in a transversal magnetic field: free energy and phase diagrams, Interactions, specifications, DLR probabilities and the Ruelle operator in the one-dimensional lattice, Spectral analysis of the quantum random energy model, Griffiths-type theorems for short-range spin glass models, Loss of stability in a 1D spin model with a long-range random Hamiltonian, On the uniqueness of Gibbs measure in the Potts model on a Cayley tree with external field, One-Sided Versus Two-Sided Stochastic Descriptions, Dynamic Phase Diagram of the REM, The quantum random energy model as a limit of p-spin interactions, Uncertainty Quantification for Markov Random Fields, Some properties of the phase diagram for mixed \(p\)-spin glasses, Non-equilibrium particle dynamics with unbounded number of interacting neighbors, Phase transitions in ferromagnetic Ising models with spatially dependent magnetic fields, The de Almeida-Thouless line in hierarchical quantum spin glasses, Moments of the Riemann zeta function on short intervals of the critical line, The continuum directed polymer in Lévy noise, Annealed Ising model on configuration models, Real-space renormalization for disordered systems at the level of large deviations, Uniqueness of the minimizer for a random non-local functional with double-well potential in \(d \leq 2\), One step replica symmetry breaking and overlaps between two temperatures