3 papers
math.DS2026
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…
math.DS2024
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…
math.DS2018
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…