5 papers
Stable covers of subshifts
Solly Coles, Van Cyr, Bryna Kra +1
Given a dynamical system, a characteristic measure is a Borel probability measure invariant under all of its automorphisms. Frisch and Tamuz asked if every symbolic system supports…
Vassiliev invariants and writhe for periodic orbits of Axiom A flows
Solly Coles
We obtain asymptotics for the average value taken by a Vassiliev invariant on knots appearing as periodic orbits of an Axiom A flow on The methods used also give asymptotics…
Distribution of periodic orbits in the homology group of a knot complement
Solly Coles, Richard Sharp
Consider a transitive Anosov flow on a closed -manifold. After removing a finite set of null-homologous periodic orbits, we study the distribution of the remaining periodic orbi…
Helicity, linking and the distribution of null-homologous periodic orbits for Anosov flows
Solly Coles, Richard Sharp
This paper concerns connections between dynamical systems, knots and helicity of vector fields. For a divergence-free vector field on a closed -manifold that generates an Anosov…
How to hear the shape of a billiard table
Aaron Calderon, Solly Coles, Diana Davis +2
The bounce spectrum of a polygonal billiard table is the collection of all bi-infinite sequences of edge labels corresponding to billiard trajectories on the table. We give methods…