Tadashi Shima

Last Updated :2021/04/06

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. 2021, Liberal Arts Education Program1, 1Term, Elements of Calculus
  2. 2021, Liberal Arts Education Program1, 3Term, Seminar in Basic Mathematics I
  3. 2021, Liberal Arts Education Program1, 4Term, Seminar in Basic Mathematics II
  4. 2021, Liberal Arts Education Program1, 1Term, Linear AlgebraI
  5. 2021, Undergraduate Education, 4Term, Stochastic Processes
  6. 2021, Graduate Education (Master's Program) , 1Term, Special Exercises on Informatics and Data Science A
  7. 2021, Graduate Education (Master's Program) , 2Term, Special Exercises on Informatics and Data Science A
  8. 2021, Graduate Education (Master's Program) , 3Term, Special Exercises on Informatics and Data Science B
  9. 2021, Graduate Education (Master's Program) , 4Term, Special Exercises on Informatics and Data Science B
  10. 2021, Graduate Education (Master's Program) , Academic Year, Special Study on Informatics and Data Science
  11. 2021, Graduate Education (Doctoral Program) , Academic Year, Special Study on Informatics and Data Science

Research Activities

Academic Papers

  1. A Stochastic Multiple-Leader-Follower Incentive Stackelberg Strategy for Markov Jump Linear Systems, IEEE Control Systems Letters, 1(2), 250-255, 201710
  2. 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
  3. Lifschitz Tails for Random Schroedinger Operators on Nested Fractals, Osaka Journal of Mathematics, 29(4), pp. 749-770, 19921201
  4. ★, On a Spectral Analysis for the Sierpinski Gasket, Potential Analysis, 1, pp. 1-35, 19920401
  5. On Discontinuity and Tail Behaviours of the Integrated Density of States For Nested Pre-Fractals, Communications in Mathematical Physics, 163, pp. 461-471, 19940401
  6. 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
  7. Large Deviations and Related LIL’s for Brownian Motions on Nested Fractals, Osaka Journal of Mathematics, 36(3), pp. 497-537, 19990901
  8. Remarks on universal function of O(C^*), Hiroshima Mathematical Journal, 33(1), pp. 27-30, 20030301
  9. Ramified coverings over a complete Kaehler space, Archiv der Mathematik, 83, pp. 154-158, 20040401
  10. ★, Analytic Compactifications of $\mathbb{C}^2/\mathbb{Z}_n$, Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 74, pp. 223-235, 20040401
  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. ★, Analytic Compactifications of $\mathbb{C}^2/\mathbb{D}$, Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 77, 20071201
  13. H-infinity-constrained incentive Stackelberg games for discrete-time stochastic systems with multiple followers, IET CONTROL THEORY AND APPLICATIONS, 11(15), 2475-2485, 20171013
  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, 2017 IEEE 56th Annual Conference on Decision and Control, Melbourne, Australia, December 12-15, 2017, 3688-3693, 2017
  18. H-infinity Constraint Pareto Optimal Strategy for Stochastic LPV Systems, INTERNATIONAL GAME THEORY REVIEW, 20(2), 201806
  19. Intermediate Pseudoconvexity for Unramified Riemann Domains over C^n, Toyama Mathematical Journal, 40, 17-35, 2019

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