97-570 Tcheremchantsev S.

TRANSPORT PROPERTIES OF MARKOVIAN ANDERSON MODEL (68K, LaTeX 2e) 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$ .

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