83 citations · 86 across the 3 of their papers we have counts for
4 papers
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…
Persistent Homology and Euler Integral Transforms
Robert Ghrist, Rachel Levanger, Huy Mai
The Euler calculus -- an integral calculus based on Euler characteristic as a valuation on constructible functions -- is shown to be an incisive tool for answering questions about…
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…
Analysis of Kolmogorov Flow and Rayleigh-Bénard Convection using Persistent Homology
Miroslav Kramar, Rachel Levanger, Jeffrey Tithof +5
We use persistent homology to build a quantitative understanding of large complex systems that are driven far-from-equilibrium; in particular, we analyze image time series of flow…