Reconstructing a Random Potential from its Random Walks

Details Reconstructing a Random Potential from its Random Walks Reconstructing a Random Potential from its Random Walks

2007-04-19

arxiv.org/abs/0704.2539v1

Europhysics Letters (EPL) (2008) 81, 20002

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1209/0295-5075/81/20002

The problem of how many trajectories of a random walker in a potential are needed to reconstruct the values of this potential is studied. We show that this problem can be solved by calculating the probability of survival of an abstract random walker in a partially absorbing potential. The approach is illustrated on the discrete Sinai (random force) model with a drift. We determine the parameter (temperature, duration of each trajectory, ...) values making reconstruction as fast as possible.

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