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Sinai's walk: a statistical aspect
Pierre Andreoletti1

We consider Sinai's random walk in random environment. We prove that the logarithm of the local time is a good estimator of the random potential associated to the random environment. We give a constructive method allowing us to built the random environment from a single trajectory of the random walk.
1:  MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
random environment – random walk – Sinai's regime – estimation