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Influence of spatial correlation for directed polymers

Influence of spatial correlation for directed polymers

In this paper, we study a model of a Brownian polymer in ℝ+×ℝd, introduced by Rovira and Tindel [J. Funct. Anal. 222 (2005) 178–201]. Our investigation focuses mainly on the effect of strong spatial correlation in the environment in that model in terms of free energy, fluctuation exponent and volume …