47 citations · 313 across the 74 of their papers we have counts for
4 papers · 1 filter
Affine Hopf fibration
V. Ovsienko, S. Tabachnikov
An affine Hopf fibration is a fibration of n-dimensional real affine space by p-dimensional pairwise skew affine subspaces. An example is a fibration of 3-space by pairwise skew li…
Iterating evolutes and involutes
M. Arnold, D. Fuchs, I. Izmestiev +2
We study iterations of two classical constructions, the evolutes and involutes of plane curves, and we describe the limiting behavior of both constructions on a class of smooth cur…
On Lagrangian tangent sweeps and Lagrangian outer billiards
D. Fuchs, S. Tabachnikov
Given a Lagrangian submanifold in linear symplectic space, its tangent sweep is the union of its (affine) tangent spaces, and its tangent cluster is the result of parallel translat…
Introducing supersymmetric frieze patterns and linear difference operators
Sophie Morier-Genoud, Valentin Ovsienko, Serge Tabachnikov
We introduce a supersymmetric analog of the classical Coxeter frieze patterns. Our approach is based on the relation with linear difference operators. We define supersymmetric anal…