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arXiv:1009.6077math-ph

Discrete Complex Analysis and Probability

Stanislav Smirnov

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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.

arXiv comments
Proceedings of the International Congress of Mathematicians (ICM), Hyderabad, India, 2010. 26 pages, 8 figures
Journal reference
DOI
Subjects
math-phMathematical Physics math.CVComplex Variables math.PRProbability

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    • example 12, "Tiling a Rectangle by Squares" is rather unique; it was discussed in Stanislav Smirnov's Fields medal lecture in 2010 https://en.wikipedia.org/wiki/Squaring_the_square In his lecture he puts the square tilings in a rather serious context (the theory of electrical…

      mrcactu5View on HNParent context

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