119 citations · 569 across the 23 of their papers we have counts for
3 papers · 1 filter
A turnstile mechanism for fronts propagating in fluid flows
John R. Mahoney, Kevin A. Mitchell
We consider the propagation of fronts in a periodically driven flowing medium. It is shown that the progress of fronts in these systems may be mediated by a turnstile mechanism aki…
Invariant manifolds and the geometry of front propagation in fluid flows
Kevin A. Mitchell, John R. Mahoney
Recent theoretical and experimental work has demonstrated the existence of one-sided, invariant barriers to the propagation of reaction-diffusion fronts in quasi-two-dimensional pe…
Many Roads to Synchrony: Natural Time Scales and Their Algorithms
Ryan G. James, John R. Mahoney, Christopher J. Ellison +1
We consider two important time scales---the Markov and cryptic orders---that monitor how an observer synchronizes to a finitary stochastic process. We show how to compute these ord…