Gumbel fluctuations for cover times in the discrete torus
نویسندگان
چکیده
منابع مشابه
Global fluctuations and Gumbel statistics.
We explain how the statistics of global observables in correlated systems can be related to extreme value problems and to Gumbel statistics. This relationship then naturally leads to the emergence of the generalized Gumbel distribution Ga(x), with a real index a, in the study of global fluctuations. To illustrate these findings, we introduce an exactly solvable nonequilibrium model describing a...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2013
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-012-0467-7