2 citations · 3 across the 3 of their papers we have counts for
3 papers
math.DS2008★ 2 cited
The Pentagram map: a discrete integrable system
Valentin Ovsienko, Richard Schwartz, Serge Tabachnikov
The pentagram map is a projectively natural iteration defined on polygons, and also on objects we call twisted polygons (a twisted polygon is a map from Z into the projective plane…
math-ph2008★ 1 cited
Lie antialgebras: cohomology and representations
Valentin Ovsienko
We describe the main algebraic and geometric properties of the class of algebras introduced in [arXiv:0705.1629]. We discuss their origins in symplectic geometry and associative al…
math.DG2006
Hyperbolic Carathéodory conjecture
Valentin Ovsienko, Serge Tabachnikov
A quadratic point on a surface in is a point at which the surface can be approximated by a quadric abnormally well (up to order 3). We conjecture that the least number of qu…