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After that we define a new particle process R on the initial lattice configuration of the BLIP model, and show how the DTASEP naturally arises from the process R.. 3.1 Discrete
Key words: Spatial coagulation model; post-gelation behavior; stochastic particle systems AMS 2000 Subject Classification: Primary 60K40.. Submitted to EJP on June 2 2006, final
Abstract The generator of a Borel right process is extended so that it maps functions to smooth measures.. This extension may be defined either probabilistically using martingales
The main purpose of this article is to study the symmetric martingale property and capacity defined by G-expectation introduced by Peng (cf. We show that the G-capacity can not
On the particle level we may take the view of having a trivial spatial motion (particles are fixed inbetween the discrete branching points) and non-local branching, whereas
Keywords infinite particle system, superprocess, interacting diffusion, clustering, Palm distri- bution, grove indexed systems of diffusions, grove indexed systems of branching
[1] Bender C.M., Boettcher S., Real spectra in non-Hermitian Hamiltonians having PT symmetry, Phys. Dorey P., Dunning C., Tateo R., Supersymmetry and the spontaneous breakdown of
We obtain that catalysis of dynamical symmetry breaking always occurs at arbitrarily small magnetic fields for a system which is subcritical in the interaction couplings in absence
