{ "id": "1712.01612", "version": "v1", "published": "2017-12-05T13:17:09.000Z", "updated": "2017-12-05T13:17:09.000Z", "title": "Ergodic optimization of Birkhoff averages and Lyapunov exponents", "authors": [ "Jairo Bochi" ], "comment": "Paper for ICM 2018 Proceedings. 20 pages, 1 figure", "categories": [ "math.DS" ], "abstract": "Ergodic optimization is the study of extremal values of asymptotic dynamical quantities such as Birkhoff averages or Lyapunov exponents, and of the orbits or invariant measures that attain them. We discuss some results and problems.", "revisions": [ { "version": "v1", "updated": "2017-12-05T13:17:09.000Z" } ], "analyses": { "subjects": [ "37A99", "37D30", "37E45", "37J50", "37H15", "90C05" ], "keywords": [ "lyapunov exponents", "birkhoff averages", "ergodic optimization", "extremal values", "asymptotic dynamical quantities" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable" } } }