Go to arXiv: Sho Matsumoto

Preprint

Publication

2021-  NOW

• (with Colin McSwiggen) Moments of random quantum marginals via Weingarten calculus, International Mathematics Research Notices, (2023)  No. 22, pp. 19306-19339.  DOI: 10.1093/imrn/rnad105 

• (with Piotr Śniady) Symmetric group characters of almost square shape,  Algebraic Combinatorics 5 (2022), no. 4, pp. 771-784. DOI:  10.5802/alco.247.

• (with Benoît Collins and Jonathan Novak) The Weingarten calculus,  Notices of the AMS 69 (2022), no.5,  734-745.  DOI: 10.1090/noti2474.

2016 - 2020

• (with Piotr Śniady) Random strict partitions and random shifted tableaux, Selecta Mathematica 26 (2020), Article number:10, 59 pages. DOI: 10.1007/s00029-020-0535-2

• (with Piotr Śniady) Linear versus spin: representation theory of the symmetric groups, Algebraic Combinatorics 3, no. 1 (2020), 249-280. DOI:10.5802/alco.92 

• (with Jonathan Novak) A moment method for invariant ensembles, Electronic Research Announcements in Mathematical Sciences 25 (2018), 60-71. DOI:  10.3934/era.2018.25.007 

• A spin analogue of Kerov polynomials, SIGMA 14 (2018), 053, 13 pages. DOI: 10.3842/SIGMA.2018.053  

• (with Benoît Collins) Weingarten calculus via orthogonality relations: new applications,  ALEA, Lat. Am. J. Probab. Math. Stat. 14 (2017), 631-656. pdf

• Polynomiality of shifted Plancherel averages and content evaluations, Annales Mathématiques Blaise Pascal 24, no. 1 (2017), 55-82. DOI: 10.5802/ambp.364 

• (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

2011 - 2015

• (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 

• (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

• (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

• 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 

• (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

• 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 

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

• 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 

• 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 

• 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

2005 - 2010

• (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 

• (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. 

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

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

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

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

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

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

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

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