3 papers
nlin.CD2006
Supplement to the article "Approximating multi-dimensional Hamiltonian flows by billiards": Proof of C and C - closeness Theorems
A. Rapoport, V. Rom-Kedar, D. Turaev
This supplement to the article "Approximating multi-dimensional Hamiltonian flows by billiards" contains the proofs of C and C - closeness theorems stated in the articl…
nlin.CD2005
Approximating multi-dimensional Hamiltonian flows by billiards
A. Rapoport, V. Rom-Kedar, D. Turaev
Consider a family of smooth potentials , which, in the limit , become a singular hard-wall potential of a multi-dimensional billiard. We define auxiliary billiard domai…
nlin.CD2002
Soft billiards with corners
D. Turaev, V. Rom-Kedar
We develop a framework for dealing with smooth approximations to billiards with corners in the two-dimensional setting. Let a polygonal trajectory in a billiard start and end up at…