Pointwise estimates and exponential laws in metastable systems via coupling methods

Details Pointwise estimates and exponential laws in metastable systems via coupling methods Pointwise estimates and exponential laws in metastable systems via coupling methods

2009-09-07

arxiv.org/abs/0909.1242v3

Mathematics

Probability

28 pages/Corrected typos and revised argument in section 4, results unchanged. Version to be published

Scientific paper

We show how coupling techniques can be used in some metastable systems to
prove that mean metastable exit times are almost constant as functions of the
starting microscopic configuration within a "metastable set". In the example of
the Random Field Curie Weiss model, we show that these ideas can also be used
to prove asymptotic exponentiallity of normalized metastable escape times.

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