Go to arXiv: Sho Matsumoto

Preprint

Publication

2021-  NOW

1. (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 

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

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

4. (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

5. (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 

6. (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 

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

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

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

10. (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

11. (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

12. (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

13. (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

14. 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 

15. (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

16. 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 

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

18. 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 

19. 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 

20. 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

21. (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 

22. (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. 

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

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

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

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

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

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

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

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