For every stationary ergodic, uniformly elliptic, finite-range-dependent nearest-neighbor environment on Z^d with d≥3, the annealed probability of escape in any fixed nonzero direction is either zero or one.
For every stationary ergodic, uniformly elliptic, finite-range-dependent nearest-neighbor environment on Z^d with d≥3, the annealed probability of escape in any fixed nonzero direction is either zero or one.
For every stationary ergodic, uniformly elliptic, finite-range-dependent nearest-neighbor environment on Z^d with d≥3, the annealed probability of escape in any fixed nonzero direction is either zero or one.
If correct, extends directional zero–one behavior beyond independent random environments.
Does directional escape retain a zero–one law in finite-range-dependent random environments?
Publication dates and editorial changes.
OpenAI reports a directional zero–one law for finite-range environments
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