Brownian Motion and its Applications to Mathematical Analysis École d'Été de Probabilités de Saint-Flour XLIII - 2013 /

These lecture notes provide an introduction to the applications of Brownian motion to analysis and, more generally, connections between Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of real random phenomena, from chaotic oscillations of microscopic objects, su...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Burdzy, Krzysztof (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:École d'Été de Probabilités de Saint-Flour ; 2106
Subjects:
Probabilities.
Differential equations.
Potential theory (Mathematics).
Probability Theory.
Differential Equations.
Potential Theory.
Online Access:Texto Completo
Table of Contents:
  • 1. Brownian motion
  • 2. Probabilistic proofs of classical theorems
  • 3. Overview of the "hot spots" problem
  • 4. Neumann eigenfunctions and eigenvalues
  • 5. Synchronous and mirror couplings
  • 6. Parabolic boundary Harnack principle
  • 7. Scaling coupling
  • 8. Nodal lines
  • 9. Neumann heat kernel monotonicity
  • 10. Reflected Brownian motion in time dependent domains.

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