WebWe provide discrete counterparts of the most fundamental objects in complex analysis such as holomorphic functions, differential forms, derivatives, and the Laplacian. Also, … WebOct 20, 2011 · We study discrete complex analysis and potential theory on a large family of planar graphs, the so-called isoradial ones. Along with discrete analogues of several …
papers by Stanislav Smirnov - UNIGE
WebWe construct discrete holomorphic fermions in the random cluster Ising model at criticality and show that they have conformally covariant scaling limits (as mesh of the lattice tends to zero). In the sequels those observables are used to construct conformally invariant scaling limits of interfaces and identify those with Schramm’s SLE curves. WebOct 13, 2008 · We study discrete complex analysis and potential theory on a large family of planar graphs, the so-called isoradial ones. Along with discrete analogues of several … alain immo malmerspach
Discrete complex analysis on isoradial graphs - Semantic Scholar
WebDec 14, 2010 · In this survey paper, we first explain how isoradial graphs naturally arise in two approaches used by physicists: transfer matrices and conformal field theory. This leads us to the fact that isoradial graphs provide a natural setting for discrete complex analysis, to which we dedicate one section. WebOne of the big issues with discrete complex analysis is how to rigorously define discrete holomorphic functions on graphs. If you want the gory details, "Discrete complex analysis on isoradial graphs" by Chelkak and Smirnov is a good place to look. Share Cite Improve this answer Follow answered Sep 5, 2011 at 16:35 Alex R. 4,852 2 39 63 WebNov 1, 2007 · This culminates in the work of Chelkak-Smirnov who developed the theory of discrete complex analysis on isoradial graphs to a high point of sophistication [CS11], and used it to prove conformal... alain lassignardie