Differences between Lyapunov exponents for the simple random walk in Bernoulli potentials
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Publication:6198962
DOI10.1017/JPR.2023.35arXiv2205.14356OpenAlexW4381734268MaRDI QIDQ6198962
Publication date: 23 February 2024
Published in: Journal of Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.14356
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Percolation (82B43) Processes in random environments (60K37)
Cites Work
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- Lyapunov exponents of Green's functions for random potentials tending to zero
- 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 \(\mathbb{Z}^d\)
- First passage percolation for random colorings of \(\mathbb{Z}^ d\)
- The time constant for Bernoulli percolation is Lipschitz continuous strictly above \(p_c\)
- Anchored isoperimetric profile of the infinite cluster in supercritical bond percolation is Lipschitz continuous
- Lyapunov exponents, shape theorems and large deviations for the random walk in random potential
- Mean field upper and lower bounds on Lyapunov exponents
- Regularity of the time constant for a supercritical Bernoulli percolation
- On the time constant in a dependent first passage percolation model
- Mean field bounds on Lyapunov exponents in \(\mathbb Z^d\) at the critical energy
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