- 97-570 Tcheremchantsev S.
- TRANSPORT PROPERTIES OF MARKOVIAN ANDERSON MODEL
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Nov 13, 97
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Abstract. We consider the Anderson model in $l^2 (Z^d), d \ge 1$, with potentials
whose values at any site of the lattice are Markovian independent
random functions of time. The upper and lower bounds for time-averaged
moments $\vert X \vert ^p$ with probability 1 are obtained. We obtain
also upper and lower bounds for the averaged diffusion constant and
upper bounds for the correlation function. The results show diffusive
behaviour in dimensions $ d=3D1,2$ .