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arXiv · 0907.1495

Inhomogeneity and universality: off-critical behavior of interfaces

Pierre Nolin
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Abstract

We further study the interfaces arising in a situation of inhomogeneity. More precisely, we identify a characteristic length for the gradient percolation model, that enables us to tighten previous estimates established for it. This allows to construct non-trivial scaling limits: the limiting objects share some properties with critical percolation interfaces, but locally, they rather behave like off-critical percolation interfaces.

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Pierre Nolin. 2009-07-09. Inhomogeneity and universality: off-critical behavior of interfaces. https://arxiv.org/abs/0907.1495

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