Mikhail Lyubich

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Mikhail Lyubich
Attractors, Foliations and Limit Cycles conference S0564253 (12017669155).jpg
Born (1959-02-25) February 25, 1959 (age 62)
Kharkiv, Ukrainian SSR, USSR
Alma materKharkov State University
Known forComplex dynamics
Scientific career
FieldsMathematics
InstitutionsStony Brook
Toronto
Doctoral advisor

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

Lyubich graduated from Kharkiv 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 ) 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). S2CID 50115803. Archived from the original (PDF) on 2019-10-14. Retrieved 2019-10-14. Cite journal requires |journal= (help)
  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. S2CID 119594350.
  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.CS1 maint: archived copy as title (link)

External links[]

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