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Creators/Authors contains: "Remenik, Daniel"

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  1. ; ; (, Journal of the European Mathematical Society)
    It is shown that the polynuclear growth model is a completely integrable Markov process in the sense that its transition probabilities are given by Fredholm determinants of kernels produced by a scattering transform based on the invariant measures modulo the absolute height, continuous time simple random walks. From the linear evolution of the kernels, it is shown that then-point distributions are determinants ofn\times nmatrices evolving according to thetwo-dimensional non-Abelian Toda lattice. 
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    Free, publicly-accessible full text available January 3, 2026
  2. ; (, Probability Theory and Related Fields)
    Full Text Available 
  3. ; ; (, Acta Mathematica)
    Full Text Available