32 citations · 33 across the 7 of their papers we have counts for
3 papers · 1 filter
Connecting Lyapunov Vectors with the Pattern Dynamics of Chaotic Rayleigh-Bénard Convection
Rachel Levanger, Mu Xu, Jacek Cyranka +3
We explore the chaotic dynamics of Rayleigh-Bénard convection using large-scale, parallel numerical simulations for experimentally accessible conditions. We quantify the connection…
Contractibility of a persistence map preimage
Jacek Cyranka, Konstantin Mischaikow, Charles Weibel
This work is motivated by the following question in data-driven study of dynamical systems: given a dynamical system that is observed via time series of persistence diagrams that e…
A Comparison Framework for Interleaved Persistence Modules
Shaun Harker, Miroslav Kramar, Rachel Levanger +1
We present a generalization of the induced matching theorem and use it to prove a generalization of the algebraic stability theorem for -indexed pointwise finite-dimens…