Representation theory of the infinite symmetric group and Pfaffian point\n processes

2012/02/13 by Eugene Strahov, Strahov, Eugene
Computer Science · Mathematics · #Bayesian Methods and Mixture Models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Morphological variations and asymmetry #Point processes and geometric inequalities #Random Matrices and Applications #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1202.2664

openalex publication_date 2012/02/13 · openalex created_date 2025/10/27 · openalex updated_date 2026/07/28

Abstract

We construct a family of Pfaffian point processes relevant for the harmonic\nanalysis on the infinite symmetric group. The correlation functions of these\nprocesses are representable as Pfaffians with matrix valued kernels. We give\nexplicit formulae for the matrix valued kernels in terms of the classical\nWhittaker functions. The obtained formulae have the same structure as that\narising in the study of symplectic ensembles of Random Matrix Theory.\n The paper is an extended version of the author's talk at Fall 2010 MSRI\nRandom Matrix Theory program.\n

Citations

• Polynuclear Growth on a Flat Substrate and Edge Scaling of GOE Eigenvalues

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