Contractivity and ergodicity of the random map x →
Repository Usage Stats
The long time behavior of the random map xn → xn+1 = |xn-θn| is studied under various assumptions on the distribution of the θn. One of the interesting features of this random dynamical system is that for a single fixed deterministic θ the map is not a contraction, while the composition is almost surely a contraction if θ is chosen randomly with only mild assumptions on the distribution of the θ's. The system is useful as an explicit model where more abstract ideas can be explored concretely. We explore various measures of convergence rates, hyperbolically from randomness, and the structure of the random attractor.
Published Version (Please cite this version)10.1137/S0040585X97979767
Publication InfoMattingly, Jonathan Christopher (2003). Contractivity and ergodicity of the random map x →. Theory of Probability and its Applications, 47(2). pp. 333-343. 10.1137/S0040585X97979767. Retrieved from http://hdl.handle.net/10161/10833.
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.
More InfoShow full item record
Professor of Mathematics
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