Functional integral representations for self-avoiding walk.

Brydges, David C.; Imbrie, John Z.; Slade, Gordon

Displaying similar documents to “Functional integral representations for self-avoiding walk.”

The quenched invariance principle for random walks in random environments admitting a bounded cycle representation

Jean-Dominique Deuschel, Holger Kösters (2008)

Annales de l'I.H.P. Probabilités et statistiques

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We derive a quenched invariance principle for random walks in random environments whose transition probabilities are defined in terms of weighted cycles of bounded length. To this end, we adapt the proof for random walks among random conductances by Sidoravicius and Sznitman ( (2004) 219–244) to the non-reversible setting.

A lower bound on the growth exponent for loop-erased random walk in two dimensions

Gregory F. Lawler (1999)

ESAIM: Probability and Statistics

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Unitary representations of the Virasoro algebra

Kent, Adrian

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Supersymmetry, Witten complex and asymptotics for directional Lyapunov exponents in $𝐙^{d}$

Wei-Min Wang (1999)

Journées équations aux dérivées partielles

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By using a supersymmetric gaussian representation, we transform the averaged Green's function for random walks in random potentials into a 2-point correlation function of a corresponding lattice field theory. We study the resulting lattice field theory using the Witten laplacian formulation. We obtain the asymptotics for the directional Lyapunov exponents.