On a limiting point process related to modified permutation matrices

zbMath1471.60025arXiv1803.03546MaRDI QIDQ5208901

Valentin Bahier

Publication date: 22 January 2020

Full work available at URL: https://arxiv.org/abs/1803.03546

zbMATH Keywords

permutationseigenvaluesrandom matricescentral limit theorempoint processesEwens measures

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random matrices (probabilistic aspects) (60B20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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On smooth mesoscopic linear statistics of the eigenvalues of random permutation matrices

Cites Work

• The distribution of eigenvalues of randomized permutation matrices
• Stick breaking process generated by virtual permutations with Ewens distribution
• Logarithmic combinatorial structures: A probabilistic approach
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• The characteristic polynomial of a random permutation matrix at different points
• A Tale of Three Couplings: Poisson–Dirichlet and GEM Approximations for Random Permutations
• On the central role of the scale invariant Poisson processes on (0,infty)
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