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Towards bounded negativity of self-intersection on general blown-up projective planes
bounded negativity of self-intersection general blown-up projective planes
2011/2/25
We address the problem of bounding from below the self-intersection of integral curves on the projective plane blown-up at general points.In particular, by applying classical deformation theory we obt...
Upper tails of self-intersection local times of random walks: survey of proof techniques
self-intersection random walks
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 ...