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Lyubich graduated from [[Kharkov University]] with a master's degree in 1980, and obtained his PhD from [[National University of Uzbekistan|Tashkent University]] in 1984. Currently, he is a Professor of Mathematics at [[Stony Brook University]] and the Director of the Institute of Mathematical Sciences at Stony Brook. From 2002-2008, he also held a position of Canada Research Chair at the [[University of Toronto]].
Lyubich graduated from [[Kharkov University]] with a master's degree in 1980, and obtained his PhD from [[National University of Uzbekistan|Tashkent University]] in 1984. Currently, he is a Professor of Mathematics at [[Stony Brook University]] and the Director of the Institute of Mathematical Sciences at Stony Brook. From 2002-2008, he also held a position of Canada Research Chair at the [[University of Toronto]].


He is credited with several important contributions to the study of [[dynamical systems]]. In his 1984 Ph.D. thesis, he proved fundamental results on [[ergodic theory]] and the structural stability of [[rational mapping]].<ref>{{cite web |url=http://cms.math.ca/MediaReleases/2009/res-prizes#jw |title=CMS 2010 Jeffery-Williams Prize: Dr. Mikhail Lyubich (State University of New York at Stony Brook and the University of Toronto) |accessdate=2019-10-14}}</ref> Due to this work, the measure of maximal [[entropy]] of a rational map (the [[Mané-Lyubich measure]]) bears his name.<ref>{{cite web |url=https://pdfs.semanticscholar.org/6349/c9c3f3f7e29a600bc9c15a93cfc103029ccc.pdf|title=Maximal Entropy Measure for Rational Maps and a Random Iteration Algorithm for Julia Sets |accessdate=2019-10-14}}</ref> In 1999, he published the first non-numerical proof of the [[universality]] of the [[Feigenbaum constants]] in chaos theory.<ref>{{cite journal|last=Lyubich|first=Mikhail|year=1999|title=Feigenbaum-Coullet-Tresser universality and Milnor's Hairiness Conjecture|journal=Annals of Mathematics|volume=149|issue=2|pages=319–420|doi=10.2307/120968|arxiv=math/9903201|jstor=120968}}</ref>
He is credited with several important contributions to the study of [[dynamical systems]]. In his 1984 Ph.D. thesis, he proved fundamental results on [[ergodic theory]] and the structural stability of [[rational mapping]].<ref>{{cite web |url=http://cms.math.ca/MediaReleases/2009/res-prizes#jw |title=CMS 2010 Jeffery-Williams Prize: Dr. Mikhail Lyubich (State University of New York at Stony Brook and the University of Toronto) |accessdate=2019-10-14}}</ref> Due to this work, the measure of maximal [[entropy]] of a rational map (the [[Mané-Lyubich measure]]) bears his name.<ref>{{cite web |url=https://pdfs.semanticscholar.org/6349/c9c3f3f7e29a600bc9c15a93cfc103029ccc.pdf|title=Maximal Entropy Measure for Rational Maps and a Random Iteration Algorithm for Julia Sets |accessdate=2019-10-14}}</ref> In 1999, he published the first non-numerical proof of the [[Universal property|universality]] of the [[Feigenbaum constants]] in chaos theory.<ref>{{cite journal|last=Lyubich|first=Mikhail|year=1999|title=Feigenbaum-Coullet-Tresser universality and Milnor's Hairiness Conjecture|journal=Annals of Mathematics|volume=149|issue=2|pages=319–420|doi=10.2307/120968|arxiv=math/9903201|jstor=120968}}</ref>


He received the 2010 [[Jeffery–Williams Prize]] from [[Canadian Mathematical Society]].<ref>{{cite web|url=http://www.math.ca/MediaReleases/2009/res-prizes#jw|title=Citation of M. Lyubich CMS 2010 Jeffery-Williams Prize}}</ref> In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-02-02.</ref> He was selected as one of the plenary speakers for the 2014 [[International Congress of Mathematicians|ICM]] in [[Seoul]].<ref>{{cite web |url=http://www.icm2014.org/en/program/scientific/plenary |title=Archived copy |accessdate=2015-08-01 |url-status=dead |archiveurl=https://web.archive.org/web/20150716122702/http://www.icm2014.org/en/program/scientific/plenary |archivedate=2015-07-16 }}</ref>
He received the 2010 [[Jeffery–Williams Prize]] from [[Canadian Mathematical Society]].<ref>{{cite web|url=http://www.math.ca/MediaReleases/2009/res-prizes#jw|title=Citation of M. Lyubich CMS 2010 Jeffery-Williams Prize}}</ref> In 2012 he became a fellow of the [[American Mathematical Society]].<ref>[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-02-02.</ref> He was selected as one of the plenary speakers for the 2014 [[International Congress of Mathematicians|ICM]] in [[Seoul]].<ref>{{cite web |url=http://www.icm2014.org/en/program/scientific/plenary |title=Archived copy |accessdate=2015-08-01 |url-status=dead |archiveurl=https://web.archive.org/web/20150716122702/http://www.icm2014.org/en/program/scientific/plenary |archivedate=2015-07-16 }}</ref>

Revision as of 20:49, 18 October 2019

Mikhail Lyubich
Born (1959-02-25) February 25, 1959 (age 65)
Kharkov, USSR
Alma materKharkov State University
Known forComplex dynamics
Scientific career
FieldsMathematics
InstitutionsStony Brook
Toronto
Doctoral advisorYuri Illich Lyubich

Mikhail Lyubich (born 25 February 1959 in Kharkov, Ukraine) is a mathematician who made important contributions to the fields of holomorphic dynamics and chaos theory.

Lyubich graduated from Kharkov University with a master's degree in 1980, and obtained his PhD from Tashkent University in 1984. Currently, he is a Professor of Mathematics at Stony Brook University and the Director of the Institute of Mathematical Sciences at Stony Brook. From 2002-2008, he also held a position of Canada Research Chair at the University of Toronto.

He is credited with several important contributions to the study of dynamical systems. In his 1984 Ph.D. thesis, he proved fundamental results on ergodic theory and the structural stability of rational mapping.[1] Due to this work, the measure of maximal entropy of a rational map (the Mané-Lyubich measure) bears his name.[2] In 1999, he published the first non-numerical proof of the universality of the Feigenbaum constants in chaos theory.[3]

He received the 2010 Jeffery–Williams Prize from Canadian Mathematical Society.[4] In 2012 he became a fellow of the American Mathematical Society.[5] He was selected as one of the plenary speakers for the 2014 ICM in Seoul.[6]

Notes

  1. ^ "CMS 2010 Jeffery-Williams Prize: Dr. Mikhail Lyubich (State University of New York at Stony Brook and the University of Toronto)". Retrieved 2019-10-14.
  2. ^ "Maximal Entropy Measure for Rational Maps and a Random Iteration Algorithm for Julia Sets" (PDF). Retrieved 2019-10-14.
  3. ^ Lyubich, Mikhail (1999). "Feigenbaum-Coullet-Tresser universality and Milnor's Hairiness Conjecture". Annals of Mathematics. 149 (2): 319–420. arXiv:math/9903201. doi:10.2307/120968. JSTOR 120968.
  4. ^ "Citation of M. Lyubich CMS 2010 Jeffery-Williams Prize".
  5. ^ List of Fellows of the American Mathematical Society, retrieved 2013-02-02.
  6. ^ "Archived copy". Archived from the original on 2015-07-16. Retrieved 2015-08-01.{{cite web}}: CS1 maint: archived copy as title (link)

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