The ideal Galton board and Lorentz gas billiard models have been studied numerically and
analytically primarily in settings where friction and rotational velocity are neglected. We …

A non-slip constraint between a particle and a wall is applied at the microscopic level of
collision dynamics using the rough sphere model. We analyze the consequences of the …

We study the ergodic properties of two classes of random dynamical systems: a type of
Markov chain which we call the\textit {alternating random walk} and a certain stochastic …

Astute variations in the geometry of mathematical billiard tables have been and continue to
be a source of understanding their wide range of dynamical behaviors, from regular to …

Billiard systems, broadly speaking, may be regarded as models of mechanical systems in
which rigid parts interact through elastic impulsive (collision) forces. When it is desired or …

The purpose of this paper is to compare a classical non-holonomic system---a sphere rolling
against the inner surface of a vertical cylinder under gravity---and a class of discrete …

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 …

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 …

There are a number of advantages of using computational simulation methods in chemistry
research–the exploration of a conditions and parameters that are not feasible in the …

In this thesis, we address some questions about certain chaotic dynamical systems. In
particular, the objects of our studies are chaotic billiards. A billiard is a dynamical system that …