A generalized Biane process
Kalyanapuram Rangachari Parthasarathy (1990)
Séminaire de probabilités de Strasbourg
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Displaying similar documents to “The Markov process of total spins”
A generalized Biane process
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Metastable behaviour of small noise Lévy-Driven diffusions
Peter Imkeller, Ilya Pavlyukevich (2008)
ESAIM: Probability and Statistics
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We consider a dynamical system in driven by a vector field -, where is a multi-well potential satisfying some regularity conditions. We perturb this dynamical system by a Lévy noise of small intensity and such that the heaviest tail of its Lévy measure is regularly varying. We show that the perturbed dynamical system exhibits metastable behaviour on a proper time scale it reminds of a Markov jump process taking values in the local minima of the potential . Due to the heavy-tail nature...
On the diffeomorphic type of the complement to a line arrangement in a projective plane
Fedor Bogomolov, Viktor Kulikov (2012)
Open Mathematics
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We show that the diffeomorphic type of the complement to a line arrangement in a complex projective plane P 2 depends only on the graph of line intersections if no line in the arrangement contains more than two points in which at least two lines intersect. This result also holds for some special arrangements which do not satisfy this property. However it is not true in general, see [Rybnikov G., On the fundamental group of the complement of a complex hyperplane arrangement, Funct. Anal....