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The classical random walk isomorphism theorems relate the local times of a continuous-time random walk to the square of a Gaussian free field.
Exceptional points of two-dimensional random walks at multiples of the cover time
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Random interlacements for vertex-reinforced jump processes
F. Merkl, S.W.W. Rolles, and P. Tarrés · 1903
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Euclidean quantum field theory
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On the decay of correlations in SO ( n ) {\rm SO}(n) -symmetric ferromagnets
O.A. McBryan and T. Spencer · 1977
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Reformulation of n → 0 n\rightarrow 0 models using anticommuting scalar fields
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Disordered system with n n orbitals per site: Lagrange formulation, hyperbolic symmetry, and Goldstone modes
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Disordered electronic system as a model of interacting matrices
F. Wegner · 1980
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The random walk representation of classical spin systems and correlation inequalities
D. Brydges, J. Fröhlich, and T. Spencer · 1982
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J. Fröhlich · 1982
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A new method for the asymptotic evaluation of a class of path integrals
J.M. Luttinger · 1982
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The random-walk representation of classical spin systems and correlation inequalities. II. The skeleton inequalities
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Supersymmetry and theory of disordered metals
K.B. Efetov · 1983
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The asymptotic evaluation of a class of path integrals. II
J.M. Luttinger · 1983
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Gaussian and non-Gaussian random fields associated with Markov processes
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Introduction to superanalysis
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Temps local et superchamp
Y. Le Jan · 1987
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An application of Berezin integration to large deviations
D.C. Brydges and I. Muñoz Maya · 1991
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Fourier analysis on a hyperbolic supermanifold with constant curvature
M.R. Zirnbauer · 1991
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Self-avoiding walk on a hierarchical lattice in four dimensions
D. Brydges, S.N. Evans, and J.Z. Imbrie · 1992
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Une version sans conditionnement du théorème d’isomorphisms de Dynkin
N. Eisenbaum · 1995
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A Ray-Knight theorem for symmetric Markov processes
N. Eisenbaum, H. Kaspi, M.B. Marcus, J. Rosen, and Z. Shi · 2000
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Quasi-diffusion in a 3D supersymmetric hyperbolic sigma model
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Cover times, blanket times, and majorizing measures
J. Ding, J.R. Lee, and Y. Peres · 2012
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SUSY statistical mechanics and random band matrices
T. Spencer · 2012
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A.-S. Sznitman · 2012
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Reinforced random walk
G. Kozma · 2013
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Localization for linearly edge reinforced random walks
O. Angel, N. Crawford, and G. Kozma · 2014
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Statistics of energy levels and eigenfunctions in disordered and chaotic systems: supersymmetry approach
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Branched polymers and dimensional reduction
D.C. Brydges and J.Z. Imbrie · 2003
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Vertex-reinforced jump processes on trees and finite graphs
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Density of states for GUE through supersymmetric approach
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Logarithmic correction for the susceptibility of the 4-dimensional weakly self-avoiding walk: a renormalisation group analysis
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The vertex reinforced jump process and a random Schrödinger operator on finite graphs
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Universality for 1d random band matrices: sigma-model approximation
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The density of states of 1D random band matrices via a supersymmetric transfer operator
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PhD thesis, University of Cambridge, 2020
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