SUSY Statistical Mechanics and Random Band Matrices

DOI10.1007/978-3-642-29511-9_4zbMath1267.82070OpenAlexW103478701MaRDI QIDQ4915550

Thomas Spencer

Publication date: 10 April 2013

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

Full work available at URL: https://doi.org/10.1007/978-3-642-29511-9_4

zbMATH Keywords

Ward identitiessigma modelrandom band matricesGrassmann integrationsupersymmetric statistical mechanics

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Atomic physics (81V45) Random matrices (algebraic aspects) (15B52) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (12)

Random band matrices in the delocalized phase. III: Averaging fluctuations ⋮ Spin systems with hyperbolic symmetry: a survey ⋮ Localization for a nonlinear sigma model in a strip related to vertex reinforced jump processes ⋮ A very simple proof of the LSI for high temperature spin systems ⋮ Density of states for Gaussian unitary ensemble, Gaussian orthogonal ensemble, and interpolating ensembles through supersymmetric approach ⋮ Delocalization for a class of random block band matrices ⋮ Diffusion profile for random band matrices: a short proof ⋮ Dynkin isomorphism and Mermin-Wagner theorems for hyperbolic sigma models and recurrence of the two-dimensional vertex-reinforced jump process ⋮ Semi-classical analysis of non-self-adjoint transfer matrices in statistical mechanics. I ⋮ The geometry of random walk isomorphism theorems ⋮ Hitting times of interacting drifted Brownian motions and the vertex reinforced jump process ⋮ Universality of the second mixed moment of the characteristic polynomials of the 1D band matrices: Real symmetric case

This page was built for publication: SUSY Statistical Mechanics and Random Band Matrices