142 citations · 833 across the 42 of their papers we have counts for
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math.PR2005★ 69 cited
Majorizing multiplicative cascades for directed polymers in random media
Francis Comets, Vincent Vargas
In this note we give upper bounds for the free energy of discrete polymers in random media. The bounds are given by the so-called generalized multiplicative cascades from the stati…
math.PR2005★ 28 cited
A Local limit theorem for directed polymers in random media: the continuous and the discrete case
Vincent Vargas
In this article, we consider two models of directed polymers in random environment: a discrete model and a continuous model. We consider these models in dimension greater or equal…