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We discuss diffusion processes on Riemannian manifolds, for which a Newton law holds (in the stochastic sense). We emphasize the existence of a general mechanism for the formation of impenetrable barriers for these processes, corresponding to the nodes of the density of their distribution. We discuss some applications to natural phenomena like the formation of planetary systems, the morphology of...
Using the quantum Itô's formula of [5] we construct operators satisfying a generalisation of the Weyl commutation relations, in which scalar-valued test functions are replaced by operator-valued ones.
This paper is concerned with establishing Poisson approximations to flows in general queueing networks. Bounds are provided to assess the departure of a given flow from Poisson and these lead to simple criteria for good Poisson approximations. The class of networks considered here are those with a countable collection of customer classes and where the service requirement of a customer at a given queue...
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