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math.PR2004
On the Brownian directed polymer in a Gaussian random environment
Carles Rovira, amy Tindel
In this paper, we introduce a model of Brownian polymer in a continuous random environment. The asymptotic behavior of the partition function associated to this polymer measure is…
math.PR2002
The p-spin interaction model with external field
X. Bardina, D. Marquez, C. Rovira +1
This paper is devoted to a detailed study of a p-spins interaction model with external field, including some sharp bounds on the speed of self averaging of the overlap as well as a…
math.PR2002
Higher order expansions for the overlap of the SK model
X. Bardina, D. Marquez-Carreras, C. Rovira +1
In this note, the Sherrington Kirkpatrick model of interacting spins is under consideration. In the high temperature region, we give an asymptotic expansion for the expected value…