69 citations · 331 across the 40 of their papers we have counts for
40 papers
A challenger to elliptic billiards fails: String construction over convex polygons and the Birkhoff--Poritsky conjecture
Leonid Bunimovich, Roberta Shapiro
We prove that the billiard claimed to be a possible counterexample to the Birkhoff-Poritsky conjecture is actually not a counterexample. We also show that for a billiard in a table…
Detecting intrinsic global geometry of an obstacle via layered scattering
Leonid Bunimovich, Gabriel Katz
Given a closed -dimensional submanifold , incapsulated in a compact domain , , we consider the problem of determining the intrinsic geometr…
Back to Boundaries in Billiards
Leonid Bunimovich, Yaofeng Su
We prove Poisson limit laws for open billiards where the holes are on the boundaries of billiard tables (rather than some abstract holes in the phase space of a billiard). Such hol…
Elliptic Flowers: simply connected billiard tables with chaotic or non-chaotic flows moving around chaotic or non-chaotic cores
Leonid A. Bunimovich
We introduce a class of billiards with chaotic unidirectional flows (or non-chaotic unidirectional flows with "vortices") which go around a chaotic or non-chaotic "core", where orb…
Poisson Approximations and Convergence Rates for Hyperbolic Dynamical Systems
Leonid Bunimovich, Yaofeng Su
We prove the asymptotic functional Poisson laws in the total variation norm and obtain estimates of the corresponding convergence rates for a large class of hyperbolic dynamical sy…
Why Escape Is Faster Than Expected
Hassan Attarchi, Leonid A. Bunimovich
We consider chaotic (hyperbolic) dynamical systems which have a generating Markov partition. Then, open dynamical systems are built by making one element of a Markov partition a ho…