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Real space renormalization group for Ising Spin Glass and other glassy models. I. Disordered Ising model. General formalism (1702.04097v1)

Published 14 Feb 2017 in cond-mat.dis-nn, cond-mat.stat-mech, math-ph, and math.MP

Abstract: Here is the first part of the summary of my work on random Ising model using real-space renormalization group (RSRG), also known as a Migdal-Kadanoff one. This approximate renormalization scheme was applied to the analysis thermodynamic properties of the model, and of probabilistic properties of a pair correlator, which is a fluctuating object in disordered systems. PACS numbers: 02.50.-r, 05.20.-y, 05.70.Fh, 64.60.ae, 75.10.-b, 75.10.Hk, 87.10.+e Keywords: statistical physics, magnetism, spin glass, neural networks

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