List of Preprints and Publications: Sho Matsumoto

Go to arXiv: Sho Matsumoto.
    Preprints
  1. in collaboration with Benoît Collins
    Weingarten calculus via orthogonality relations: new applications
    Accepted for publication in ALEA: Lat. Am. J. Probab. Math. Stat
    arXiv:1701.04493v2

  2. Polynomiality of shifted Plancherel averages and content evaluations
    Annales Mathématiques Blaise Pascal 24, no. 1 (2017), 55--82.
    arXiv:1512.04168v3.


    3. Publications

  3. in collaboration with Juan-Diego Urbina, Jack Kuipers, Quirin Hummel, and Klaus Richter
    Multiparticle Correlations in Mesoscopic Scattering: Boson Sampling, Birthday Paradox, and Hong-Ou-Mandel Profiles
    Physical Review Letters 116 (2016), 100401.
    DOI: 10.1103/PhysRevLett.116.100401 (arXiv:1409.1558v2 [quant-ph])

  4. in collaboration with Tiefeng Jiang
    Moments of traces of circular beta-ensembles
    the Annals of Probability 43, no. 6 (2015), 3279--3336.
    DOI: 10.1214/14-AOP960 (arXiv:1102.4123v2)

  5. in collaboration with Sanefumi Moriyama
    ABJ fractional brane from ABJM Wilson loop
    Journal of High Energy Physics 03 (2014) 079, 24 pages.
    DOI: 10.1007/JHEP03(2014)079 (arXiv:1310.8051v3 [hep-th])

  6. in collaboration with Benoît Collins and Nadia Saad
    Integration of invariant matrices and moments of inverses of Ginibre and Wishart matrices
    Journal of Multivariate Analysis 126 (2014), 1--13.
    DOI: 10.1016/j.jmva.2013.12.011 (arXiv:1205.0956v1)

  7. Weingarten calculus for matrix ensembles associated with compact symmetric spaces
    Random Matrices: Theory and Applications 2 (2013), no. 2, 1350001, 26 pages.
    DOI: 10.1142/S2010326313500019 (arXiv:1301.5401v3)

  8. in collaboration with Tomoyuki Shirai
    Correlation functions for zeros of a Gaussian power series and Pfaffians
    Electronic Journal of Probability 18 (2013), no. 49, 1--18.
    DOI: 10.1214/EJP.v18-2545

  9. Moments of a single entry of circular orthogonal ensembles and Weingarten calculus
    Letters in Mathematical Physics 103 (2013), 113--130.
    DOI: 10.1007/s11005-012-0587-0

  10. in collaboration with Jonathan Novak
    Jucys-Murphy elements and unitary matrix integrals
    International Mathematics Research Notices (2013), no. 2, 362--397.
    DOI: 10.1093/imrn/rnr267

  11. General moments of matrix elements from circular orthogonal ensembles
    Random Matrices: Theory and Applications 1 (2012), no. 3, 1250005, 18 pages.
    DOI: 10.1142/S2010326312500050

  12. General moments of the inverse real Wishart distribution and orthogonal Weingarten functions
    Journal of Theoretical Probability 25 (2012), no. 3, 798--822.
    DOI: 10.1007/s10959-011-0340-0

  13. Jucys-Murphy elements, orthogonal matrix integrals, and Jack measures
    The Ramanujan Journal 26 (2011), no. 1, 69--107.
    DOI: 10.1007/s11139-011-9317-y

  14. in collaboration with Benoît Collins
    On some properties of orthogonal Weingarten functions
    Journal of Mathematical Physics 50 (2009), no. 11, 113516, 14 pp.
    DOI: 10.1063/1.3251304

  15. in collaboration with Kazufumi Kimoto and Masato Wakayama
    Alpha-determinant cyclic modules and Jacobi polynomials
    Transactions of the American Mathematical Society 361 (2009), no. 12, 6447--6473.

  16. Jack deformations of Plancherel measures and traceless Gaussian random matrices
    Electronic Journal of Combinatorics 15 (2008), no. 1, Research Paper 149, 18 pp.

  17. Hyperdeterminantal expressions for Jack functions of rectangular shapes
    Journal of Algebra 320 (2008), no. 2, 612--632.

  18. Moments of characteristic polynomials for compact symmetric spaces and Jack polynomials
    Journal of Physics A 40 (2007), no. 45, 13567--13586.

  19. in collaboration with Masato Wakayama
    Alpha-determinant cyclic modules of gln(C)
    Journal of Lie Theory 16 (2006), no. 2, 393--405.

  20. Alpha-Pfaffian, Pfaffian point process and shifted Schur measure
    Linear Algebra and its Applications 403 (2005), 369--398.

  21. Correlation functions of the shifted Schur measure
    Journal of the Mathematical Society of Japan 57 (2005), no. 3, 619--637.

  22. A scaling limit for t-Schur measures
    Kyushu Journal of Mathematics 59 (2005), no. 1, 25--38.

  23. in collaboration with Kazufumi Kimoto, Nobushige Kurokawa, and Masato Wakayama
    Multiple finite Riemann zeta functions
    Acta Arithmetica 116 (2005), no. 2, 173--187.


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