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math.PR2014
Continuity Results and Estimates for the Lyapunov Exponent of Brownian Motion in Random Potential
Johannes Rueß
We collect some applications of the variational formula established by Schröder (1988) and Rueß(2013) for the quenched Lyapunov exponent of Brownian motion in stationary and ergodi…
math.PR2013★ 5 cited
A Variational Formula for the Lyapunov Exponent of Brownian Motion in Stationary Ergodic Potential
Johannes Rueß
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…
math.PR2011★ 3 cited
Lyapunov Exponents of Brownian Motion: Decay Rates for Scaled Poissonian Potentials and Bounds
Johannes Rueß
We investigate Lyapunov exponents of Brownian motion in a nonnegative Poissonian potential . The Lyapunov exponent depends on the potential and our interest lies in the deca…