Dr Oleg Kozlovski
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Oleg KozlovskiAssociate Professor (Reader) Office: C2.14 |
Teaching Responsibilities 2020/21:
Term 1: MA132 Foundations
Research Interests:
Dynamical systems, ergodic theory, mathematical physics, financial mathematics
Selected recent publications:
Kozlovski O S, Axiom A maps are dense in the space of unimodal maps in the C^k topology. ANNALS OF MATHEMATICS,157,(2003)
Kozlovski O S, Graczyk J. Universal gap in the dimension spectrum of unimodal attractors. COMMUNICATIONS IN MATHEMATICAL PHYSICS. Accepted.(2006)
Kozlovski O S and Kaloshin V. C^k unimodal maps with arbitrary fast growth of number of periodic points (Conditionally Accepted)ERGODIC THEORY AND DYNAMICAL SYSTEMS,(2006)
Kozlovski O S, Pintus P, van Strien S, de Vilder R. BusinessCycle Models and the Danger of Linearizing (To appear)JOURNAL OF OPTIMIZTION THEORY AND APPLICATIONS,(2006)
Koslovski O S, Shen W, van Strien S. Density of hyperbolicity in dimension one. (Accpeted). ANNALS OF MATHEMATICS. (2007)
Kozlovski O S, Shen W, van Strien S. Rigidity of real polynomials. ANNALS OF MATHEMATICS. 165, 749-841
Kozlovski, O. and Sands, D. (2009) Higher order Schwarzian derivatives in interval dynamics. In: International Conference on Dynamical Systems held in honor of Michal Misurewicz, Polish Acad Sci, Inst Math, Bedlewo, Poland, 2008. Published in: Fundamenta Mathematicae, Vol.206 pp. 217-239.
Kozlovski, O. and van Strien, Sebastian. (2009) Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials. Proceedings of the London Mathematical Society, Vol.99 (Part 2). pp. 275-296.
Kozlovski, O. (2013) Cyclicity in families of circle maps. Ergodic Theory and Dynamical Systems, Volume 33 (Number 05). pp. 1502-1518.
Kozlovski, O. (2013) Periodic attractors of perturbed one-dimensional maps. Ergodic Theory and Dynamical Systems, Volume 33 (Number 05). pp. 1519-1541.
Research grants:
EPSRC:Advanced Fellowship, Research in Complex Dynamics/Fast Dynamo Theory (1.9.2001 - 31.8.2006)