On the spectral gap of spherical spin glass dynamics

DOI10.1214/18-AIHP897zbMath1435.82025arXiv1608.06609MaRDI QIDQ2320382

Reza Gheissari, Aukosh Jagannath

Publication date: 22 August 2019

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06609

zbMATH Keywords

spectral gapLangevin dynamicsspin glassglassy dynamicslog-Sobolev

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)

Related Items (11)

Efficient approximation of branching random walk Gibbs measures ⋮ Spectral gap estimates in mean field spin glasses ⋮ Free energy of multiple systems of spherical spin glasses with constrained overlaps ⋮ Shattering versus metastability in spin glasses ⋮ Hardness of Random Optimization Problems for Boolean Circuits, Low-Degree Polynomials, and Langevin Dynamics ⋮ Dynamics for spherical spin glasses: disorder dependent initial conditions ⋮ A very simple proof of the LSI for high temperature spin systems ⋮ Dynamics of mean field spin glasses on short and long timescales ⋮ An emergent autonomous flow for mean-field spin glasses ⋮ Bounding flows for spherical spin glass dynamics ⋮ Algorithmic thresholds for tensor PCA

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