期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2013
卷号：X
期号：2
页码：857-880
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We prove the scaling relation = 2 1 between the transversal exponent and the uctuation exponent for directed polymers in a random environmentin d dimensions. The de nition of these exponents is similar to that proposedin Chatterjee (2013) in rst-passage percolation. The proof presented here alsoestablishes the relation in the zero temperature version of the model, known aslast-passage percolation.
