23 citations · 53 across the 19 of their papers we have counts for
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math.DS2016
A locally integrable multi-dimensional billiard system
Dmitry Treschev
We consider a multi-dimensional billiard system in an (n+1)-dimensional Euclidean space, the direct product of the "horizontal" hyperplane and the "vertical" line. The hypersurface…
math.DS2016★ 12 cited
Billiard transformations of parallel flows: a periscope theorem
A. Plakhov, S. Tabachnikov, D. Treschev
We consider the following problem: given two parallel and identically oriented bundles of light rays in n-dimensional Euclidean space and given a diffeomorphism between the rays of…
math.DS2016
Anti-integrable limit
Sergey Bolotin, Dmitry Treschev
Anti-integrable limit is one of convenient and relatively simple methods for construction of chaotic hyperbolic invariant sets in Lagrangian, Hamiltonian and other dynamical system…