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• W2168860409 abstract "We establish a variational formula for the exponential decay rate of the Green function of Brownian motion evolving in a random stationary and ergodic nonnegative potential. Such a variational formula is established by Schroeder in 'Green's Functions for the Schrodinger Operator with Periodic Potential', J. Funct. Anal. 77 (1988), for potentials on compact spaces and is generalised in the present article to a non-compact setting. We show exponential decay of the Green function implicitly. This formula for the Lyapunov exponent has several direct implications. It allows to compare the influence of a random potential to the influence of the averaged potential. It also leads to a variational expression for the quenched free energy." @default.
• W2168860409 created "2016-06-24" @default.
• W2168860409 creator A5024180119 @default.
• W2168860409 date "2013-08-20" @default.
• W2168860409 modified "2023-09-27" @default.
• W2168860409 title "A Variational Formula for the Lyapunov Exponent of Brownian Motion in Stationary Ergodic Potential" @default.
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• W2168860409 hasPublicationYear "2013" @default.
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