@inproceedings{2fd57eeb9c614ad4938eef83dd32ef99,

title = "Dynamical systems evolving",

abstract = "This is an expanded version of a presentation given at ICM2018. It discusses a number of results taken from a cross-section of the author's work in Dynamical Systems. The topics include relation between entropy, Lyapunov exponents and fractal dimension, statistical properties of chaotic dynamical systems, physically relevant invariant measures, strange attractors arising from shear-induced chaos, random maps and random attractors. The last section contains two applications of Dynamical Systems ideas to Biology, one to epidemics control and the other to computational neuroscience.",

keywords = "Computational neuroscience, Correlation decay, Epidemics, Lyapunov exponents, Random dynamical systems, SRB measures, Shear-induced chaos",

author = "Young, {Lai Sang}",

note = "Funding Information: This research is partially supported by NSF Grant DMS-1363161. MSC2010: primary 37Dxx; secondary 37Hxx, 92Bxx. Keywords: Lyapunov exponents, correlation decay, SRB measures, shear-induced chaos, random dynamical systems, epidemics, computational neuroscience.; 2018 International Congress of Mathematicians, ICM 2018 ; Conference date: 01-08-2018 Through 09-08-2018",

year = "2018",

language = "English (US)",

series = "Proceedings of the International Congress of Mathematicians, ICM 2018",

publisher = "World Scientific Publishing Co. Pte Ltd",

pages = "1017--1048",

editor = "Boyan Sirakov and {de Souza}, {Paulo Ney} and Marcelo Viana",

booktitle = "Invited Lectures",

}