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Stochastic fixed point equation, weighted branching process, infinite divisibility, L´evy measure, Choquet-Deny theorem, stable distributions.. AMS 2000
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
We study the dynamics of a certain discrete model of interacting interlaced particles that comes from the so called shuffling algorithm for sampling a random tiling of an
Indeed, this model dominates a model described in the following way: The process starts from the one- particle-per-site initial configuration, and on each step active particles
We will see in Section 4.1 that, assuming the Lifshitz tail effect in [ 12 ] , our result indeed derives the correct upper bound of the quenched asymptotics for the Brownian
Key words: Branching particle system, superprocess, occupation time fluctuation, limit theo- rem, stable process, long-range dependence.. AMS 2000 Subject Classification: Primary
(2) Branching Mechanism Reconstruction: By reconstruction of the branching mech- anism, the variable coefficient σ ( x ) of the branching generator is transformed as a
In order to identify the limit, we shall characterize the limit as the unique solution of the aforementioned SDE-like equation (cf. the initial position of a reflected Brownian
