Mixing in fluid flows is a ubiquitous phenomenon and arises in many situations ranging from
everyday occurrences, such as mixing of cream in coffee, to fundamental physical …

We consider the advection-diffusion equation on $\mathbb {T}^ 2$ with a Lipschitz and time-
periodic velocity field that alternates between two piecewise linear shear flows. We prove …

Consider a discrete time Markov process $ X^\varepsilon $ on $\mathbb R^ d $ that makes a
deterministic jump prescribed by a map $\varphi\colon\mathbb R^ d\to\mathbb R^ d $, and …

We consider a Lebesgue measure preserving map of the 2-torus, given by the composition
of orthogonal tent shaped shears. We establish strong mixing properties with respect to the …

We consider the problem of mixing a passive scalar in a periodic box by incompressible
vector fields subject to a fixed energy constraint. In that setting a lower bound for the time in …

We establish the mixing property for a family of Lebesgue measure preserving toral maps
composed of two piecewise linear shears, the first of which is non-monotonic. The maps …

We prove the Bernoulli property for a class of counter-twisting linked twist maps. These
compose orthogonal linear shears on the torus, orientated in the opposite sense to their co …

We establish the mixing property for a family of Lebesgue measure preserving toral maps
composed of two piecewise linear shears, the first of which is non-monotonic. The maps …