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- W4226512946 abstract "The Quantum Symmetric Simple Exclusion Process (QSSEP) is a model of quantum particles hopping on a finite interval and satisfying the exclusion principle. Recently Bernard and Jin have studied the fluctuations of the invariant measure for this process, when the number of sites goes to infinity. These fluctuations are encoded into polynomials, for which they have given equations and proved that these equations determine the polynomials completely. In this paper, I give an explicit combinatorial formula for these polynomials, in terms of Schroder trees. I also show that, quite surprisingly, these polynomials can be interpreted as free cumulants of a family of commuting random variables." @default.
- W4226512946 created "2022-05-05" @default.
- W4226512946 creator A5082435248 @default.
- W4226512946 date "2021-11-24" @default.
- W4226512946 modified "2023-09-24" @default.
- W4226512946 title "Combinatorics of the Quantum Symmetric Simple Exclusion Process, associahedra and free cumulants" @default.
- W4226512946 hasPublicationYear "2021" @default.
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