420 citations · 1.3k across the 61 of their papers we have counts for
Showing 2001Show all
3 papers · 1 filter
nlin.SI2001★ 58 cited
Integrable systems on quad-graphs
Alexander I. Bobenko, Yuri B. Suris
We consider general integrable systems on graphs as discrete flat connections with the values in loop groups. We argue that a certain class of graphs is of a special importance in…
math.CV2001
Hexagonal Circle Patterns and Integrable Systems. Patterns with Constant Angles
Alexander I. Bobenko, Tim Hoffmann
Hexagonal circle patterns with constant intersection angles are introduced and studied. It is shown that they are described by discrete integrable systems of Toda type. Conformally…
math.CV2001★ 9 cited
Hexagonal circle patterns and integrable systems: Patterns with the multi-ratio property and Lax equations on the regular triangular lattice
A. I. Bobenko, T. Hoffmann, Yu. B. Suris
Hexagonal circle patterns are introduced, and a subclass thereof is studied in detail. It is characterized by the following property: For every circle the multi-ratio of its six in…