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Upper tails of self-intersection local times of random walks: survey of proof techniques
self-intersection random walks
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2010/11/19
The asymptotics of the probability that the self-intersection local time of a random walk on $\Z^d$ exceeds its expectation by a large amount is a fascinating subject because of its relation to some ...
Nonproper intersection theory and positive currents I, local aspects
Nonproper intersection theory positive currents I, local aspects
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2010/12/6
We introduce a current calculus to deal with (local) non-proper intersection theory, especially construction of local cycles of St¨uckrad-Vogel type (Vogel cycles). Given a coherent ideal sheaf J , ge...