Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 35, Issue 47, Pages L687-L694Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/35/47/102
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We study the local time distribution of a Brownian particle diffusing along the links on a graph. In particular, we derive an analytic expression of its Laplace transform in terms of the Green function on the graph. We show that the asymptotic behaviour of this distribution has non-Gaussian tails characterized by a nontrivial large deviation function.
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