Titlebook: Reflected Brownian Motions in the KPZ Universality Class; Thomas Weiss,Patrik Ferrari,Herbert Spohn Book 2017 The Author(s) 2017 Kardar-Pa

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Reflected Brownian Motions in the KPZ Universality Class978-3-319-49499-9Series ISSN 2197-1757 Series E-ISSN 2197-1765

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Stationary Initial Conditions, be adjusted to also cover such random initial data. The novel difficulty comes from the determinantal expressions being seemingly ill-defined. This forces a more elaborate approximation scheme, in which one starts from a Poisson point process, which is uniform except for a jump at 0.

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Introduction,Back in 1931 Hans Bethe diagonalized the hamiltonian of the one-dimensional Heisenberg spin chain through what is now called the “Bethe ansatz” Bethe (.).

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Determinantal Point Processes,of Fredholm determinants, a form which is well suited for an asymptotic analysis. However, only partial aspects of the underlying theory of determinantal point processes is needed for our purposes and we merely introduce the main definitions including the crucial Lemma .. Up to minor modifications,