On the energy landscape of the mixed even \(p\)-spin model

DOI10.1007/s00440-017-0773-1zbMath1417.60079arXiv1609.04368OpenAlexW3099259682MaRDI QIDQ1647924

Madeline Handschy, Gilad Lerman, Wei-Kuo Chen

Publication date: 27 June 2018

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04368

zbMATH Keywords

energy landscapeSherrington-Kirkpatrick modelmultiple peaksdisorder chaosParisi formula

Mathematics Subject Classification ID

Gaussian processes (60G15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) 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)

Related Items (20)

On the energy landscape of spherical spin glasses ⋮ Disorder chaos in some diluted spin Glass models ⋮ Spectral gap estimates in mean field spin glasses ⋮ On the TAP free energy in the mixed \(p\)-spin models ⋮ A simple approach to chaos for \(p\)-spin models ⋮ On absence of disorder chaos for spin glasses on \(\mathbb{Z}^d \) ⋮ Free energy subadditivity for symmetric random Hamiltonians ⋮ Generalized TAP Free Energy ⋮ Suboptimality of local algorithms for a class of max-cut problems ⋮ Ultrametricity in spin glasses ⋮ The geometry of near ground states in Gaussian polymer models ⋮ Optimizing mean field spin glasses with external field ⋮ Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting) ⋮ The generalized TAP free energy. II ⋮ The overlap gap property and approximate message passing algorithms for \(p\)-spin models ⋮ Approximate ground states of hypercube spin glasses are near corners ⋮ Central limit theorem for the free energy of the random field Ising model ⋮ On the unbalanced cut problem and the generalized Sherrington-Kirkpatrick model ⋮ Optimization of mean-field spin glasses ⋮ A general method for lower bounds on fluctuations of random variables

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