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math.PR2017
Free Energy of the Cauchy Directed Polymer Model at High Temperature
Ran Wei
We study the Cauchy directed polymer model on , where the underlying random walk is in the domain of attraction to the -stable law. We show that, if the random…
math.PR2015★ 11 cited
On the Long-range Directed Polymer Model
Ran Wei
We study the long-range directed polymer model on $\mathbbm{Z}$ in a random environment, where the underlying random walk lies in the domain of attraction of an -stable process…