Video library: S. P. Novikov, I. A. Dynnikov, Discretization of complex analysis

VIDEO LIBRARY


International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin June 22, 2008 12:20, Moscow

Discretization of complex analysis S. P. Novikov^a, I. A. Dynnikov^b ^a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow ^b Lomonosov Moscow State University
Abstract: A new approach to the discretization of complex analysis has been developed in a series of papers by S. P. Novikon and I. A. Dynnikov during several years. Triangular lattices appear to possess several remarkable properties that are not satisfied for a usual quadrilateral lattice. We have also developed a new method for the discretization of differential geometric connections on simplicial polyhedra. Language: English *Related articles:* Geometry of the triangle equation on two-manifolds I. A. Dynnikov, S. P. Novikov Mosc. Math. J., 2003, 3:2, 419–438 The Cauchy kernel for the Novikov–Dynnikov DN-discrete complex analysis in triangular lattices P. G. Grinevich, R. G. Novikov Uspekhi Mat. Nauk, 2007, 62:4(376), 155–156