420 citations · 1.3k across the 61 of their papers we have counts for
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solv-int1999
Discrete Z^a and Painleve equations
Sergey I. Agafonov, Alexander I. Bobenko
A discrete analogue of the holomorphic map z^a is studied. It is given by a Schramm's circle pattern with the combinatorics of the square grid. It is shown that the corresponding i…
math.DG1999★ 12 cited
Exploring Surfaces through Methods from the Theory of Integrable Systems. lectures on the Bonnet problem
Alexander I. Bobenko
A generic surface in Euclidean 3-space is determined uniquely by its metric and curvature. Classification of all special surfaces where this is not the case, i.e. of surfaces posse…
math.SG1999
Discrete Lagrangian reduction, discrete Euler-Poincare equations, and semidirect products
Alexander I. Bobenko, Yuri B. Suris
A discrete version of Lagrangian reduction is developed in the context of discrete time Lagrangian systems on , where is a Lie group. We consider the case when the L…