Stationary Half-Space Last Passage Percolation
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DOI: 10.1007/s00220-020-03712-5
Abstract: In this paper we study stationary last passage percolation with exponential weights and in half-space geometry. We determine the limiting distribution of the last passage time in a critical window close to the origin. The… read more here.
Keywords: last passage; space; half space; geometry ... See more keywords
The two-time distribution in geometric last-passage percolation
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DOI: 10.1007/s00440-019-00901-9
Abstract: We study the two-time distribution in directed last passage percolation with geometric weights in the first quadrant. We compute the scaling limit and show that it is given by a contour integral of a Fredholm… read more here.
Keywords: time distribution; passage percolation; two time; last passage ... See more keywords
Last-Passage Time for Linear Diffusions and Application to the Emptying Time of a Box
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DOI: 10.1007/s10955-020-02637-6
Abstract: We study the statistics of last-passage time for linear diffusions. First we present an elementary derivation of the Laplace transform of the probability density of the last-passage time, thus recovering known results from the mathematical… read more here.
Keywords: last passage; time; emptying time; passage time ... See more keywords