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Asymptotics of the Solutions of the Random Schrödinger Equation
Asymptotics of the Solutions Random Schrö dinger Equation
2015/7/14
We consider solutions of the Schrödinger equation with a weak time-dependent random potential. It is shown that when the two-point correlation function of the potential is rapidly decaying, then ...
Asymptotics of the solutions of the stochastic lattice wave equation
solutions stochastic lattice wave equation
2015/7/14
We consider the long time limit theorems for the solutions of a discrete wave equation with a weak stochastic forcing. The multiplicative noise conserves the energy and the momentum. We obtain a time-...
Asymptotics of stationary solutions of multivariate stochastic recursions with heavy tailed inputs and related limit theorems
stationary solutions multivariate stochastic recursions related limit theorems
2010/11/12
Let $\Phi_n$ be an i.i.d. sequence of Lipschitz mappings of $\R^d$. We study the Markov chain $\{X_n^x\}_{n=0}^\8$ on $\R^d$ defined by the recursion $X_n^x = \Phi_n(X^x_{n-1})$, $n\ge 0$, $X_0=x\in\...