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강연자 Zhen-Qing Chen
소속 University of Washington
date 2018-03-15

Anomalous diffusion phenomenon has been observed in many natural systems, from the signalling of biological cells, to the foraging behaviour of animals,  to the travel times of contaminants in groundwater. In this talk, I will first discuss the interplay between anomalous diffusions and differential equations of fractional order. I will then present some recent results in the study of these two topics, including the counterpart of DeGiorgi-Nash-Moser-Aronson theory for non-local operators of fractional order. No prior knowledge in these two subjects is assumed.


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첨부 '1'
  1. An introduction to hyperplane arrangements

  2. Analysis and computations of stochastic optimal control problems for stochastic PDEs

  3. Analytic torsion and mirror symmetry

  4. 23Mar
    by 김수현
    in 수학강연회

    Anomalous diffusions and fractional order differential equations

  5. Arithmetic of elliptic curves

  6. Averaging formula for Nielsen numbers

  7. Birational Geometry of varieties with effective anti-canonical divisors

  8. Brownian motion and energy minimizing measure in negative curvature

  9. Brownian motion with darning and conformal mappings

  10. Categorical representation theory, Categorification and Khovanov-Lauda-Rouquier algebras

  11. Categorification of Donaldson-Thomas invariants

  12. Chern-Simons invariant and eta invariant for Schottky hyperbolic manifolds

  13. Circular maximal functions on the Heisenberg group

  14. Class field theory for 3-dimensional foliated dynamical systems

  15. Classical and Quantum Probability Theory

  16. Cloaking via Change of Variables

  17. Codimension Three Conjecture

  18. Combinatorial Laplacians on Acyclic Complexes

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

  20. Conformal field theory and noncommutative geometry

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