{"citation":{"chicago":"Kaloshin, Vadim, and Brian R. Hunt. “A Stretched Exponential Bound on the Rate of Growth of the Number of Periodic Points for Prevalent Diffeomorphisms II.” <i>Electronic Research Announcements of the American Mathematical Society</i>. American Mathematical Society, 2001. <a href=\"https://doi.org/10.1090/s1079-6762-01-00091-9\">https://doi.org/10.1090/s1079-6762-01-00091-9</a>.","ista":"Kaloshin V, Hunt BR. 2001. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II. Electronic Research Announcements of the American Mathematical Society. 7(5), 28–36.","apa":"Kaloshin, V., &#38; Hunt, B. R. (2001). A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II. <i>Electronic Research Announcements of the American Mathematical Society</i>. American Mathematical Society. <a href=\"https://doi.org/10.1090/s1079-6762-01-00091-9\">https://doi.org/10.1090/s1079-6762-01-00091-9</a>","short":"V. Kaloshin, B.R. Hunt, Electronic Research Announcements of the American Mathematical Society 7 (2001) 28–36.","ieee":"V. Kaloshin and B. R. Hunt, “A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II,” <i>Electronic Research Announcements of the American Mathematical Society</i>, vol. 7, no. 5. American Mathematical Society, pp. 28–36, 2001.","ama":"Kaloshin V, Hunt BR. A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II. <i>Electronic Research Announcements of the American Mathematical Society</i>. 2001;7(5):28-36. doi:<a href=\"https://doi.org/10.1090/s1079-6762-01-00091-9\">10.1090/s1079-6762-01-00091-9</a>","mla":"Kaloshin, Vadim, and Brian R. Hunt. “A Stretched Exponential Bound on the Rate of Growth of the Number of Periodic Points for Prevalent Diffeomorphisms II.” <i>Electronic Research Announcements of the American Mathematical Society</i>, vol. 7, no. 5, American Mathematical Society, 2001, pp. 28–36, doi:<a href=\"https://doi.org/10.1090/s1079-6762-01-00091-9\">10.1090/s1079-6762-01-00091-9</a>."},"type":"journal_article","year":"2001","date_created":"2020-09-18T10:49:43Z","extern":"1","_id":"8521","article_processing_charge":"No","keyword":["General Mathematics"],"status":"public","publication_identifier":{"issn":["1079-6762"]},"language":[{"iso":"eng"}],"author":[{"first_name":"Vadim","id":"FE553552-CDE8-11E9-B324-C0EBE5697425","orcid":"0000-0002-6051-2628","full_name":"Kaloshin, Vadim","last_name":"Kaloshin"},{"first_name":"Brian R.","last_name":"Hunt","full_name":"Hunt, Brian R."}],"issue":"5","title":"A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms II","month":"04","publication_status":"published","page":"28-36","date_published":"2001-04-24T00:00:00Z","abstract":[{"text":"We continue the previous article's discussion of bounds, for prevalent diffeomorphisms of smooth compact manifolds, on the growth of the number of periodic points and the decay of their hyperbolicity as a function of their period $n$. In that article we reduced the main results to a problem, for certain families of diffeomorphisms, of bounding the measure of parameter values for which the diffeomorphism has (for a given period $n$) an almost periodic point that is almost nonhyperbolic. We also formulated our results for $1$-dimensional endomorphisms on a compact interval. In this article we describe some of the main techniques involved and outline the rest of the proof. To simplify notation, we concentrate primarily on the $1$-dimensional case.","lang":"eng"}],"article_type":"original","publication":"Electronic Research Announcements of the American Mathematical Society","doi":"10.1090/s1079-6762-01-00091-9","intvolume":"         7","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","volume":7,"oa_version":"None","day":"24","publisher":"American Mathematical Society","quality_controlled":"1","date_updated":"2021-01-12T08:19:51Z"}