Diffusivity of Rescaled Random Polymer in Random Environment in dimensions 1 and 2

Details Diffusivity of Rescaled Random Polymer in Random Environment in dimensions 1 and 2 Diffusivity of Rescaled Random Polymer in Random Environment in dimensions 1 and 2

2012-01-30

arxiv.org/abs/1201.6215v1

Mathematics

Probability

Scientific paper

We show random polymer is diffusive in dimensions 1 and 2 in probability in
an intermediate scaling regime. The scale is $\beta= o(N^{-1/4})$ in d=1 and
$\beta=o((\log N)^{-1/2})$ in $d=2$ as $N\rightarrow \infty$.

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