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Channel Duality and Midpoint Invariance in Random Walks with Resetting

Coso, Juan Antonio Vega
arXiv (All) · Papers
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60g55probability
We study absorption of a biased nearest-neighbor random walk on a finite interval that is reset to its initial position. The central contribution is an exact duality between the two absorption channels, which holds mode by mode in the spectral representation and step by step in time, together with t
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