Discrete complex analysis and probability

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Abstract

We discuss possible discretizations of complex analysis and some of their applications to probability and mathematical physics, following our recent work with Dmitry Chelkak, Hugo Duminil-Copin and Clément Hongler.

Original languageEnglish
Title of host publicationProceedings of the International Congress of Mathematicians 2010, ICM 2010
Pages595-621
Number of pages27
Publication statusPublished - 2010
Externally publishedYes
EventInternational Congress of Mathematicians 2010, ICM 2010 - Hyderabad, India
Duration: 19 Aug 201027 Aug 2010

Publication series

NameProceedings of the International Congress of Mathematicians 2010, ICM 2010

Conference

ConferenceInternational Congress of Mathematicians 2010, ICM 2010
Country/TerritoryIndia
CityHyderabad
Period19/08/1027/08/10

Keywords

  • Conformal invariance
  • Discrete analytic function
  • Discrete complex analysis
  • Ising model
  • Self-avoiding walk

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