\(\alpha\)-Pfaffian, Pfaffian point process and shifted Schur measure

DOI10.1016/j.laa.2005.02.005zbMath1077.15008arXivmath/0411277OpenAlexW1978623376MaRDI QIDQ2484499

Sho Matsumoto

Publication date: 1 August 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411277

zbMATH Keywords

skew-symmetric matrixmatrix theory\(\alpha\)-determinant\(\alpha\)-Pfaffian

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items (6)

Superconformal Chern-Simons partition functions of affine D-type quiver from Fermi gas ⋮ A new solvable two-matrix model and the BKP tau function ⋮ Eynard-Mehta theorem, Schur process, and their Pfaffian analogs ⋮ General moments of the inverse real Wishart distribution and orthogonal Weingarten functions ⋮ Pfaffian point processes from free fermion algebras: perfectness and conditional measures ⋮ Alpha-determinant cyclic modules and Jacobi polynomials

Cites Work

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• A generalization of permanents and determinants
• Janossy densities. II: Pfaffian ensembles
• Random point fields associated with certain Fredholm determinants. I: Fermion, Poisson and Boson point processes.
• A limit theorem for shifted Schur measures
• Eynard-Mehta theorem, Schur process, and their Pfaffian analogs
• Correlation functions of the shifted Schur measure
• EXPLICIT CAPELLI IDENTITIES FOR SKEW SYMMETRIC MATRICES
• Minor summation formula of pfaffians
• Hall-Littlewood symmetric functions and the BKP equation

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