Mathematical billiards describe the motion of a mass point in a domain with elastic
reflections off the boundary or, equivalently, the behavior of rays of light in a domain with …

This is a semi-popular mathematics book aimed at a broad readership of mathematically
literate scientists, especially mathematicians and physicists who are not experts in classical …

Applied Analysis of Composite Media: Analytical and Computational Approaches presents
formulas and techniques that can used to study 2D and 3D problems in composites and …

The Lorentz gas, a point particle making mirror-like reflections from an extended collection of
scatterers, has been a useful model of deterministic diffusion and related statistical …

The parametric instability contribution to the largest Lyapunov exponent λ 1 is derived for a
mean-field Hamiltonian model, with attractive long-range interactions. This uses a recent …

The problem of conditions ensuring the existence of first integrals that are polynomials in the
momenta (velocities) is considered for certain multidimensional billiard systems which play …

In many situations, the gene expression signature is a unique marker of the biological state.
We study the modification of the gene expression distribution function when the biological …

The aim of this thesis is to take a broad conceptual overview of the global energy system
and investigate what the aims of sustainability might entail for such a system. The work …

Accelerating Expansion explores some of the philosophical implications of modern
cosmology, focused on the significance that the discovery of the accelerating expansion of …

We discuss the long-time numerical simulation of Hamiltonian systems of ordinary
differential equations. Our goal is to explain the ability of symplectic integration schemes …