5 citations · 20 across the 13 of their papers we have counts for
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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…
Collision of a Hard Ball with Singular Points of the Boundary
Hassan Attarchi, Leonid A. Bunimovich
Recently were introduced physical billiards where a moving particle is a hard sphere rather than a point as in standard mathematical billiards. It has been shown that in the same b…
Bridge to Hyperbolic Polygonal Billiards
Hassan Attarchi, Leonid A. Bunimovich
It is well-known that billiards in polygons cannot be chaotic (hyperbolic). Particularly Kolmogorov-Sinai entropy of any polygonal billiard is zero. We consider physical polygonal…
Ehrenfest Wind-Tree Model is Dynamically Richer Than the Lorentz Gas
Hassan Attarchi, Mark Bolding, Leonid A. Bunimovich
We consider a physical Ehrenfests' Wind-Tree model where a moving particle is a hard ball rather than (mathematical) point particle. We demonstrate that a physical periodic Wind-Tr…
Cartan Spaces and Natural Foliations on the Cotangent Bundle
Hassan Attarchi, Morteza M. Rezaii
In this paper, the natural foliations in cotangent bundle T*M of Cartan space (M,K) are studied. It is shown that the geometry of these foliations is closely related to the geometr…