Zero-one law for directional transience of one dimensional excited random walks
classification
🧮 math.PR
keywords
dimensionalexcitedrandomcookiedirectionaleitherellipticenvironment
read the original abstract
The probability that a one dimensional excited random walk in stationary ergodic and elliptic cookie environment is transient to the right (left) is either zero or one. This solves a problem posed by Kosygina and Zerner [8].
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