Pfaffian formulae for one dimensional coalescing and annihilating systems
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Publication:428570
DOI10.1214/EJP.V16-942zbMATH Open1244.60097arXiv1009.4565MaRDI QIDQ428570
Author name not available (Why is that?)
Publication date: 22 June 2012
Published in: (Search for Journal in Brave)
Abstract: The paper considers instantly coalescing, or instantly annihilating, systems of one-dimensional Brownian particles on the real line. Under maximal entrance laws, the distribution of the particles at a fixed time is shown to be Pfaffian point processes closely related to the Pfaffian point process describing one dimensional distribution of real eigenvalues in the real Ginibre ensemble of random matrices. As an application, an exact large time asymptotic for the n-point density function for coalescing particles is derived.
Full work available at URL: https://arxiv.org/abs/1009.4565
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