Mikhail Lyubich (born 25 February 1959 in Kharkiv, Ukraine) is a mathematician who made important contributions to the fields of

holomorphic dynamics Complex dynamics is the study of dynamical systems defined by iteration of functions on complex number spaces. Complex analytic dynamics is the study of the dynamics of specifically analytic functions. Techniques *General ** Montel's theorem ...

and

chaos theory Chaos theory is an interdisciplinary area of scientific study and branch of mathematics focused on underlying patterns and deterministic laws of dynamical systems that are highly sensitive to initial conditions, and were once thought to have co ...

. Lyubich graduated from Kharkiv University with a master's degree in 1980, and obtained his PhD from

Tashkent University Tashkent (, uz, Toshkent, Тошкент/, ) (from russian: Ташкент), or Toshkent (; ), also historically known as Chach is the capital and largest city of Uzbekistan. It is the most populous city in Central Asia, with a population of 2 ...

in 1984. Currently, he is a Professor of Mathematics at

Stony Brook University Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public research university in Stony Brook, New York. Along with the University at Buffalo, it is one of the State University of New York system's ...

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 mathematics, a dynamical system is a system in which a function describes the time dependence of a point in an ambient space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a p ...

. In his 1984 Ph.D. thesis, he proved fundamental results on

ergodic theory Ergodic theory (Greek: ' "work", ' "way") is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, statistical properties means properties which are expres ...

and the structural stability of rational mapping. Due to this work, the measure of maximal entropy of a rational map (the Mané-Lyubich measure) bears his name. In 1999, he published the first non-numerical proof of the universality of the Feigenbaum constants in chaos theory. He received the 2010 Jeffery–Williams Prize from

Canadian Mathematical Society The Canadian Mathematical Society (CMS) (french: Société mathématique du Canada) is an association of professional mathematicians dedicated to the interests of mathematical research, outreach, scholarship and education in Canada. It serves the ...

. In 2012, he became a fellow of the American Mathematical Society. He was selected as one of the plenary speakers for the 2014 ICM in Seoul.

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* 20th-century American mathematicians Ukrainian mathematicians National University of Kharkiv alumni Stony Brook University faculty Dynamical systems theorists Fellows of the American Mathematical Society 1959 births Living people Soviet mathematicians Scientists from Kharkiv National University of Uzbekistan alumni 21st-century American mathematicians {{US-mathematician-stub