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A Variational Formula for the Lyapunov Exponent of Brownian Motion in Stationary Ergodic Potential

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Publication:5176869
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zbMath1329.60359arXiv1308.4351MaRDI QIDQ5176869

Johannes Rueß

Publication date: 4 March 2015

Full work available at URL: https://arxiv.org/abs/1308.4351


zbMATH Keywords

Brownian motionGreen functionrandom potentialLyapunov exponentquenched free energy


Mathematics Subject Classification ID

Brownian motion (60J65) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)


Related Items

Continuity results and estimates for the Lyapunov exponent of Brownian motion in stationary potential ⋮ A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential ⋮ Large deviations for Brownian motion in a random potential




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