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Condensation of a self-attracting random walk

Berestycki, N; Yadin, A

Berestycki, N (reprint author), Univ Cambridge, Ctr Math Sci, Stat Lab, Cambridge CB3 0WB, England.; Berestycki, N (reprint author), Univ Wien, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria.

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2019; 55 (2): 835

Abstract

We introduce a Gibbs measure on nearest-neighbour paths of length t in the Euclidean d-dimensional lattice, where each path is penalised by a factor p......

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