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Yuri B. Suris
Researcher at Technical University of Berlin
Publications - 141
Citations - 3535
Yuri B. Suris is an academic researcher from Technical University of Berlin. The author has contributed to research in topics: Integrable system & Discretization. The author has an hindex of 30, co-authored 137 publications receiving 3325 citations. Previous affiliations of Yuri B. Suris include University of Bremen & Technische Universität München.
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Journal ArticleDOI
Integrable systems on quad-graphs
TL;DR: In this article, the authors define integrable systems on graphs as flat connections with the values in loop groups, which is a very natural definition, and experts in discrete integrability will not only immediately accept it, but might even consider it trivial.
MonographDOI
Discrete Differential Geometry: Integrable Structure
TL;DR: In this article, the authors propose to use quadric nets in quadrics, special classes of discrete surfaces, and Integrable circle patterns to find solutions of selected exercises for classical differential geometry problems.
Posted Content
Integrable systems on quad-graphs
TL;DR: In this article, a simple and general procedure for deriving discrete zero curvature representations for integrable systems on quad-graphs is proposed, based on the principle of the three-dimensional consistency.
Journal ArticleDOI
Discrete Nonlinear Hyperbolic Equations. Classification of Integrable Cases
TL;DR: In this paper, the integrability of nonlinear hyperbolic equations on quad-graphs is defined as 3D-consistency, which means that it is possible to impose equations of the same type on all faces of a three-dimensional cube so that the resulting system will be consistent.
Journal ArticleDOI
Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green's function
TL;DR: In this paper, two discretizations, linear and nonlinear, of basic notions of the complex analysis are considered: the linear theory is based on the discrete Cauchy-Riemann equations, the nonlinear one is based upon the notion of circle patterns.