Tadashi Shima

Last Updated :2022/08/02

Affiliations, Positions
Graduate School of Advanced Science and Engineering, Associate Professor
E-mail
tadashihiroshima-u.ac.jp

Basic Information

Academic Degrees

  • Doctor of Science, Osaka University
  • Master of Science, Osaka University

Research Fields

  • Mathematical and physical sciences;Mathematics;Geometry

Research Keywords

  • fractals
  • Laplacian
  • singularity compactification

Educational Activity

Course in Charge

  1. 2022, Liberal Arts Education Program1, 1Term, Elements of Calculus
  2. 2022, Liberal Arts Education Program1, 3Term, Seminar in Basic Mathematics I
  3. 2022, Liberal Arts Education Program1, 4Term, Seminar in Basic Mathematics II
  4. 2022, Liberal Arts Education Program1, 1Term, Linear AlgebraI
  5. 2022, Undergraduate Education, 4Term, Stochastic Processes
  6. 2022, Graduate Education (Master's Program) , 1Term, Special Exercises on Informatics and Data Science A
  7. 2022, Graduate Education (Master's Program) , 2Term, Special Exercises on Informatics and Data Science A
  8. 2022, Graduate Education (Master's Program) , 3Term, Special Exercises on Informatics and Data Science B
  9. 2022, Graduate Education (Master's Program) , 4Term, Special Exercises on Informatics and Data Science B
  10. 2022, Graduate Education (Master's Program) , Academic Year, Special Study on Informatics and Data Science
  11. 2022, Graduate Education (Master's Program) , 2Term, Analysis in Information Science
  12. 2022, Graduate Education (Doctoral Program) , Academic Year, Special Study on Informatics and Data Science

Research Activities

Academic Papers

  1. Lifschitz Tails for Random Schroedinger Operators on Nested Fractals, Osaka Journal of Mathematics, 29(4), pp. 749-770, 19921201
  2. On Discontinuity and Tail Behaviours of the Integrated Density of States For Nested Pre-Fractals, Communications in Mathematical Physics, 163, pp. 461-471, 19940401
  3. Large Deviations and Related LIL’s for Brownian Motions on Nested Fractals, Osaka Journal of Mathematics, 36(3), pp. 497-537, 19990901
  4. On Eigenvalue Problems for Laplacians on P.C.F. Self-Similar Sets, Japan Journal of Industrial and Applied Mathematics, 13(1), pp. 1-23, 19960201
  5. ★, On a Spectral Analysis for the Sierpinski Gasket, Potential Analysis, 1, pp. 1-35, 19920401
  6. On Eigenvalue Problems for the Random Walks on the Sierpinski Pre-Gaskets, Japan Journal of Industrial and Applied Mathematics, 8(1), pp. 127-141, 19910201
  7. Remarks on universal function of O(C^*), Hiroshima Mathematical Journal, 33(1), pp. 27-30, 20030301
  8. Ramified coverings over a complete Kaehler space, Archiv der Mathematik, 83, pp. 154-158, 20040401
  9. ★, Analytic Compactifications of $\mathbb{C}^2/\mathbb{Z}_n$, Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 74, pp. 223-235, 20040401
  10. ★, Analytic Compactifications of $\mathbb{C}^2/\mathbb{D}$, Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 77, 20071201
  11. Analytic compactic;fications of C^2/Z_n, Proceedings of Hayama Symposium on Several Complex Variables 2004, Hayama, Japan, December 18-21, 2004 (Y. Nishimura, J. Noguchi, S. Takayama, and T. Ueda, eds.), University of Tokyo, Tokyo, pp. 177-181, 20051201
  12. H-infinity-constrained incentive Stackelberg games for discrete-time stochastic systems with multiple followers, IET CONTROL THEORY AND APPLICATIONS, 11(15), 2475-2485, 20171013
  13. H-infinity Constraint Pareto Optimal Strategy for Stochastic LPV Systems, INTERNATIONAL GAME THEORY REVIEW, 20(2), 201806
  14. Infinite-Horizon Multi-Leader-Follower Incentive Stackelberg Games for Linear Stochastic Systems with $H_{\infty}$ Constraint, Proc. SICE Annual Conference, Kanazawa, Japan 2017, 1202-1207, 2017
  15. Team-optimal Incentive Stackelberg Strategies for Markov Jump Linear Stochastic Systems with $H_{\infty}$ Constraint, Preprints of the 20th World Congress The International Federation of Automatic Control, Toulouse, France, July 9-14, 3831-3836, 2017
  16. $H_{\infty}$ Constraint Incentive Stackelberg Game for Discrete-Time Stochastic Systems, American Control Conference, Seattle, WA, 2017, 5257-5262, 2017
  17. A Stochastic Multiple-Leader-Follower Incentive Stackelberg Strategy for Markov Jump Linear Systems, IEEE Control Systems Letters, 1(2), 250-255, 201710
  18. A Stochastic Multiple-Leader-Follower Incentive Stackelberg Strategy for Markov Jump Linear Systems, 2017 IEEE 56th Annual Conference on Decision and Control, Melbourne, Australia, December 12-15, 2017, 3688-3693, 2017
  19. Three Basic Theorems in Numerical Analysis in Control Engineering Course and Their Application, INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 16(5), 2321-2333, 201810
  20. Intermediate Pseudoconvexity for Unramified Riemann Domains over C^n, Toyama Mathematical Journal, 40, 17-35, 2019
  21. A generalization of a theorem of Kühnel on globally defined analytic sets, Complex Variables and Elliptic Equations, 2020

Publications such as books

  1. 1993, Asymptotic problems in probability theory : Wiener functionals and asymptotics : proceedings of the Taniguchi International Symposium, Sanda and Kyoto, 1990, The Eigenvalue Problem for the Laplacian on The Sierpinski Gasket, Longman Scientific & Technica, 1993, Scholarly Book, Others, English, K.D. Elworthy and N. Ikeda (editors), 058222683X

External Funds

Acceptance Results of Competitive Funds

  1. KAKENHI, DIVISORS AND MEROMORPHIC CONVEXITY IN A STEIN SPACE, 2008, 2010
  2. KAKENHI, Studies on meromorphic convexity in Stein spaces, 2006, 2007
  3. KAKENHI, 2005, 2007
  4. KAKENHI, Potential Analysis for Sobolev functions, 2002, 2005
  5. KAKENHI, Statistical models for spatial multivariate date and discriminate analysis, 2001, 2002
  6. KAKENHI, 1999, 2000
  7. KAKENHI, Fusion of satellite imagery with different spatial resolutions based on statistical techniques, 1997, 1998
  8. KAKENHI, 1996, 1996
  9. KAKENHI, 1995, 1995
  10. KAKENHI, 1992, 1992

Social Activities

Organizing Academic Conferences, etc.

  1. 2011/12, 2011/12
  2. 2018/11, 2018/11