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Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit
continuous system binary jumps non-equilibrium dynamics correlation functions scaling limit Vlasov scaling Poisson measure
2011/9/15
Abstract: Let $\Gamma$ denote the space of all locally finite subsets (configurations) in $\mathbb R^d$. A stochastic dynamics of binary jumps in continuum is a Markov process on $\Gamma$ in which pai...
The scaling limit of the critical one-dimensional random Schrodinger operator
critical one-dimensional random Schrodinger operator Probability
2011/9/9
Abstract: We consider two models of one-dimensional discrete random Schrodinger operators (H_n \psi)_l ={\psi}_{l-1}+{\psi}_{l +1}+v_l {\psi}_l, {\psi}_0={\psi}_{n+1}=0 in the cases v_k=\sigma {\omega...