Dynamical systems and ergodic theory have become central to modern approaches in number theory by recasting arithmetic questions as problems about long-term behaviour of orbits under iteration. Such ...

Dynamic inequalities on time scales form a unifying framework that seamlessly integrates discrete and continuous analysis. By introducing a nonempty closed subset of the real numbers as the time ...

The application of dynamical systems theory to areas outside of mathematics continues to be a vibrant, exciting, and fruitful endeavor. These application areas are diverse and multidisciplinary, ...

The dynamics of volume preserving maps can model a variety of mixing problems ranging from microscopic granular mixing, to dispersion of pollutants over our planet's atmosphere. We study a general ...