Regularity of invariant densities for 1D systems with random switching
Abstract
© 2015 IOP Publishing Ltd & London Mathematical Society.This is a detailed analysis
of invariant measures for one-dimensional dynamical systems with random switching.
In particular, we prove the smoothness of the invariant densities away from critical
points and describe the asymptotics of the invariant densities at critical points.
Type
Journal articlePermalink
https://hdl.handle.net/10161/9514Published Version (Please cite this version)
10.1088/0951-7715/28/11/3755Publication Info
(2015). Regularity of invariant densities for 1D systems with random switching. Nonlinearity, 28(11). pp. 3755-3787. 10.1088/0951-7715/28/11/3755. Retrieved from https://hdl.handle.net/10161/9514.This is constructed from limited available data and may be imprecise. To cite this
article, please review & use the official citation provided by the journal.
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Show full item recordScholars@Duke
Jonathan Christopher Mattingly
James B. Duke Distinguished Professor
Jonathan Christopher Mattingly grew up in Charlotte, NC where he attended Irwin Ave
elementary and Charlotte Country Day. He graduated from the NC School of Science
and Mathematics and received a BS is Applied Mathematics with a concentration in physics
from Yale University. After two years abroad with a year spent at ENS Lyon studying
nonlinear and statistical physics on a Rotary Fellowship, he returned to the US to
attend Princeton University where he obtained a PhD in Applied and
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