Lyapunov exponents of Green's functions for random potentials tending to zero
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Publication:718873
DOI10.1007/s00440-010-0266-yzbMath1235.60147arXiv0903.4928OpenAlexW1968802239MaRDI QIDQ718873
Martin P. W. Zerner, Elena Kosygina, Thomas S. Mountford
Publication date: 27 September 2011
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.4928
Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37)
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Cites Work
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- Large deviations and phase transition for random walks in random nonnegative potentials
- Coincidence of Lyapunov exponents for random walks in weak random potentials
- Lyapounov norms for random walks in low disorder and dimension greater than three
- Directional decay of the Green's function for a random nonnegative potential on \(\mathbb{Z}^d\)
- Velocity and Lyapunov exponents of some random walks in random environment
- Mean field upper and lower bounds on Lyapunov exponents
- Mean field bounds on Lyapunov exponents in \(\mathbb Z^d\) at the critical energy
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