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Journal de Th´ eorie des Nombres de Bordeaux 16 (2004), 577–585.. The cuspidal torsion packet on hyperelliptic
In contrast with previous studies of the geometry of the numerical range, based on dif- ferential topology [13], it is namely noticed that the numerical range is a
To formulate the resulting continuity estimate for the conditional probabilities we don’t need any a priori metric structure on the local-spin spaces: The natural metric on
Our aim is to obtain sharp estimates on the metastable transition times between the two stable states, both for fixed N and in the limit when N tends to infinity, with error
Remark Also for SDE’s with a drift term, both in dimensions n = 1 and n ≥ 2, Yamada and Watanabe [4, 5] give conditions on the smoothness of the coefficients that are sufficient
For example, in the case that the random rooted infinite network is just a Cayley graph (rooted, say, at the identity) with the edges marked by the generators, a positive answer to
We consider a system of nonlinear partial differential equations with stochastic dynamical boundary conditions that arises in models of neurophysiology for the diffusion of
(This is also an instrumental a priori estimate in [23].) Similarly, the Brownian intersection exponent ξ (2 , 1) = 2 can be easily determined [9], and a direct proof also works
