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Hideto Nakashima

Last modified 2020/11/25

This webpage will be disposed because I had moved to The Institute of Mathematical Statistics. The new page url is https://hideto-nakashima.github.io/

Recent works

Papers

  1. Analysis on Lambedrt-Tsallis functions, preprint (joint work with P. Graczyk (Université d'Angers)); arXiv:2011.06199.
  2. Wigner and Wishart Ensembles for graphical models, submitted (joint work with P. Graczyk (Université d'Angers)); arXiv:2008.10446.
  3. Rings of invariant differential operators on homogeneous cones and their Capelli-type formulas, to appear in Proceedings of TJC2019 (Springer Proc. Math. Stat.)
  4. Algebraic proof of explicit formulas of basic relative invariants of homogengeous cones, preprint.
  5. Completion of local zeta functions associated with a certain class of homogeneous cones, submitted; arXiv:2011.11945.
  6. Functional equations of zeta functions associated with homogeneous cones, Tohoku Math. J. 72 (2020), 349--378; Tohoku Math. Journal (DOI).
  7. A shorter proof of a characterization of symmetric cones by the degrees of the basic relative invariants,
    Kyushu J. Math. 71 (2017), 251--255; KJM (DOI)
  8. Basic relative invariants of homogeneous cones and their Laplace transforms,
    J. Math. Soc. Japan 70 (2018), 1, 323--342; JMSJ (DOI)
  9. Characterization of symmetric cones by means of the basic relative invariants,
    Adv. Pure Appl. Math. 7 (2016), 2, 143--153; APAM (DOI)
  10. Basic relative invariants of homogeneous cones,
    Journal of Lie Theory 24 (2014), 1013--1032; JLT (URL)
  11. Clans defined by representations of Euclidean Jordan algebras and the associated basic relative invariants,
    Kyushu J. Math. 67 (2013), 163--202, joint worh with T. Nomura; KJM (DOI)

Visit/Stay Abroad

  1. Marseille, France 2020 July (replaced online conference due to Covid-19, MMMS2)
  2. New York, USA; 2020 May (cancelled due to Covid-19, RMTA-2020)
  3. Djerba, Tunisia; 2019 December (TJC2019)
  4. Université d'Angers (Professor Graczyk), France; 2019 December
  5. Université d'Angers (Professor Graczyk), France; 2018 Dec. -- 2019 Mar.
  6. Marseille, France; 2017 July (Luminy, MMMS)

Educational Activities

See here (in Japanese).

Profile

Name: Hideto NAKASHIMA
Position: JSPS research fellow (PD; Nagoya University)
Key word: Homogeneous open convex cones, prehomogeneous vector spaces, solvable Lie groups, invariant differential operators, harmonic analysis, random matrices.
Interest to Applications: Random Matrix Theory, Data sciences, Statistical Physics, Information Geometry
CV:
Kyushu University (Math. major)2005 Apr. -- 2009 Mar.
Kyushu University (Mastor course)2009 Apr. -- 2011 Mar.
Kyushu University (Doctor course)2011 Apr. -- 2014 Mar.
JSPS research fellow (DC2; Kyushu Univ)2013 Apr. -- 2015 Mar.
Kyushu University (Part-time lecturer)2015 Apr. -- 2018 Mar.
JSPS research fellow (PD; Nagoya Univ)2018 Apr. -- Present.
Contact h-nakashima(a)math.nagoya-u.ac.jp ((a)→@)