getdoce363. 158KB Jun 04 2011 12:05:06 AM
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The set of spectrally arbitrary sign patterns is a subset of the set of potentially stable sign patterns, and for tree sign patterns of order 4, the set of all potentially stable
The path, the complete graph, the cycle, the star and some quasi-star graphs, together with their complement graphs were shown to be determined by their Laplacian spectra [6, 9,
This paper provides a countable representation for a class of infinite-dimensional diffusions which extends the infinitely-many-neutral-alleles model and is related to the
This theory applies to a large class of important equations, including equations of nonlinear filtering, stochastic heat equation with nonlinear noise term, etc... In (1.1)
of Z provides an appropriate sequence of (random) partitions upon which one can build a stochastic calculus with respect to Z. of Z in order to define and study weighted
Recently, in [MR07c], we have shown that the edge-reinforced random walk on any locally finite graph has the same distribution as a random walk in a random environment given by
We present a short probabilistic proof of a weak convergence result for the number of cuts needed to isolate the root of a random recursive tree.. The proof is based on a
Keywords infinite particle system, superprocess, interacting diffusion, clustering, Palm distri- bution, grove indexed systems of diffusions, grove indexed systems of branching
