Inhomogeneity and universality: off-critical behavior of interfaces

Details Inhomogeneity and universality: off-critical behavior of interfaces Inhomogeneity and universality: off-critical behavior of interfaces

2009-07-09

arxiv.org/abs/0907.1495v1

Mathematics

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17 pages, 5 figures

Scientific paper

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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