Derrida’s Random Energy Models

DOI10.1007/978-3-319-17674-1_3zbMath1338.60231arXiv1412.0958OpenAlexW3099592725MaRDI QIDQ2809485

Nicola Kistler

Publication date: 30 May 2016

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.0958

zbMATH Keywords

random matricesspin glassesRiemann \(\zeta\)-functionextreme value theorymulti-scale analysisrandom energy modelscover timesGaussian free fieldsbranching diffusionscorrelated random fields

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Random matrices (probabilistic aspects) (60B20) Extreme value theory; extremal stochastic processes (60G70) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Diffusion processes (60J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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