Reconstructing a Random Potential from its Random Walks - Condensed Matter Statistical MechanicsReport as inadecuate




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Abstract: The problem of how many trajectories of a random walker in a potential areneeded to reconstruct the values of this potential is studied. We show thatthis problem can be solved by calculating the probability of survival of anabstract random walker in a partially absorbing potential. The approach isillustrated on the discrete Sinai random force model with a drift. Wedetermine the parameter temperature, duration of each trajectory,

. valuesmaking reconstruction as fast as possible.



Author: Simona Cocco LPS, Remi Monasson LPTENS

Source: https://arxiv.org/







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