Bounds on the complexity of Replica Symmetry Breaking for spherical spin glasses

DOI10.1090/proc/13875zbMath1390.60353arXiv1607.02134OpenAlexW3098153447MaRDI QIDQ4636766

Ian Tobasco, Aukosh Jagannath

Publication date: 20 April 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02134

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Regularity of solutions in optimal control (49N60) 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) Duality theory (optimization) (49N15) Optimality conditions for problems involving ordinary differential equations (49K15) Variational principles of physics (49S05)

Related Items

Free energy in multi-species mixed \(p\)-spin spherical models ⋮ Crisanti-Sommers formula and simultaneous symmetry breaking in multi-species spherical spin glasses ⋮ 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 ⋮ The overlap gap property and approximate message passing algorithms for \(p\)-spin models ⋮ Dynamics of mean field spin glasses on short and long timescales

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