Finite-Time Braiding Exponents

Lagrangian Coherence, Braids, and Machine Learning

Diffusion Maps as Invariant Functions of Dynamical Systems

Visualization of invariant sets in incompressible fluid flows from Lagrangian data

Time-Averages of Observables, SIAM DS11, Snowbird, UT, May 2011.

Poster: A New Bifurcation Found Using the Ergodic Quotient

Braid Dynamics of Non-Periodic Trajectories