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The results of the forward transformation can be a pure logical model that does not include tables for a specific relational database management system (RDBMS).. Physical
We verify in some cases convergence of scaling limits of these models to a pair of super-Brownian motions interacting through their collision local times, constructed by Evans
Here the branching rate of the reactant process X ̺ is given by the additive functional of the collision local time of Brownian motion with (the catalyst) ̺ which is itself
Section 7 deals with an ap- plication to normal martingales, and in the appendix (Section 8 ) we prove the forward-backward Itˆ o type change of variable formula which is used in
backward stochastic differential equation (BSDE), stability of BSDEs, weak convergence of filtrations,
Keywords infinite particle system, superprocess, interacting diffusion, clustering, Palm distri- bution, grove indexed systems of diffusions, grove indexed systems of branching
If both the numerator and the denominator of the right-hand side of such ODE are not constants, the method can determine in finite terms an explicit expression of an integrating
Using the extended phase space formula- tion of quantum mechanics [ 11 , 12 , 13 ], Nasiri [ 9 ] has shown that in the Wigner representation of phase space quantum mechanics [ 14 ]