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    Current moments of 1D ASEP by duality

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    We consider the exponential moments of integrated currents of 1D asymmetric simple exclusion process using the duality found by Sch\"utz. For the ASEP on the infinite lattice we show that the nnth moment is reduced to the problem of the ASEP with less than or equal to nn particles.Comment: 13 pages, no figur

    Eynard-Mehta theorem, Schur process, and their pfaffian analogs

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    We give simple linear algebraic proofs of Eynard-Mehta theorem, Okounkov-Reshetikhin formula for the correlation kernel of the Schur process, and Pfaffian analogs of these results. We also discuss certain general properties of the spaces of all determinantal and Pfaffian processes on a given finite set.Comment: AMSTeX, 21 pages, a new section adde
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