@article{5cec4b68f3f9473394c2438377e8f0e7,
title = "Dimension Reduction for Systems with Slow Relaxation: In Memory of Leo P. Kadanoff",
abstract = "We develop reduced, stochastic models for high dimensional, dissipative dynamical systems that relax very slowly to equilibrium and can encode long term memory. We present a variety of empirical and first principles approaches for model reduction, and build a mathematical framework for analyzing the reduced models. We introduce the notions of universal and asymptotic filters to characterize {\textquoteleft}optimal{\textquoteright} model reductions for sloppy linear models. We illustrate our methods by applying them to the practically important problem of modeling evaporation in oil spills.",
keywords = "Aging, Dimension reduction, Glassy systems, Mori–Zwanzig projection, Multi-scale, Oil spills, Sloppy models, Slow relaxation, Weathering",
author = "Venkataramani, {Shankar C.} and Venkataramani, {Raman C.} and Restrepo, {Juan M.}",
note = "Publisher Copyright: {\textcopyright} 2017, Springer Science+Business Media New York.",
year = "2017",
month = may,
day = "1",
doi = "10.1007/s10955-017-1761-7",
language = "English",
volume = "167",
pages = "892--933",
journal = "Journal of Statistical Physics",
issn = "0022-4715",
publisher = "Springer",
number = "3-4",
}
