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Extra Form
강연자 Takeyuki Hida
소속 Meijo University
date 2012-11-08
It has been more than thirty years since white noise analysis was launched systematically. It is now a good time to have an overview of the theory and to reflect on its advantages in order to anticipate further developments of this theory.
Our main interests are in the studies of random complex systems that are developing as time goes by. We first come to the reduction of the complex systems in question.
White noise, that is the time derivative of a Brownian motion, is the most important, elemental system of random variables that can come from the step of the reduction.
We therefore wish to discuss the analysis of functionals of white noise.
Atachment
첨부 '1'
  1. Categorification of Donaldson-Thomas invariants

  2. Noncommutative Surfaces

  3. The Shape of Data

  4. Topological aspects in the theory of aperiodic solids and tiling spaces

  5. Subgroups of Mapping Class Groups

  6. Analytic torsion and mirror symmetry

  7. Fefferman's program and Green functions in conformal geometry

  8. 정년퇴임 기념강연: Volume Conjecture

  9. Connes's Embedding Conjecture and its equivalent

  10. Connectedness of a zero-level set as a geometric estimate for parabolic PDEs

  11. Combinatorial Laplacians on Acyclic Complexes

  12. 학부생을 위한 ε 강연회: Mathematics from the theory of entanglement

  13. L-function: complex vs. p-adic

  14. 학부생을 위한 ε 강연회: Sir Isaac Newton and scientific computing

  15. A brief introduction to stochastic models, stochastic integrals and stochastic PDEs

  16. Mixed type PDEs and compressible flow

  17. Freudenthal medal, Klein medal 수상자의 수학교육이론

  18. Compressible viscous Navier-Stokes flows: Corner singularity, regularity

  19. 학부생을 위한 ε 강연회: Constructions by ruler and compass together with a conic

  20. Non-commutative Lp-spaces and analysis on quantum spaces

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