715 citations
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4 papers · 2 filters
Occurrence, repetition and matching of patterns in the low-temperature Ising model
J. -R. Chazottes, F. Redig
We continue our study of exponential law for occurrences and returns of patterns in the context of Gibbsian random fields. For the low temperature plus phase of the Ising model, we…
Tunneling effects between tori in double wells
Michel Rouleux
We consider tunneling between 2 symmetric potential wells for a 2-d Schrodinger operator, in the case of eigenvalues associated with quasi-modes supported on KAM or Birkhoff tori.
Topology and Phase Transitions: Theorem on a necessary relation
Roberto Franzosi, Marco Pettini, Lionel Spinelli
An emended and improved version of the present paper has been archived in math-ph/0505057, and a preliminary account of its content has been published in Phys.Rev.Lett. 92, 60601,…
Poisson Hypothesis for information networks (A study in non-linear Markov processes)
Alexander Rybko, Senya Shlosman
In this paper we prove the Poisson Hypothesis for the limiting behavior of the large queueing systems in some simple ("mean-field") cases. We show in particular that the correspond…