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Dr Oleg Kozlovski

Picture of Oleg Kozlovski  

Oleg Kozlovski

Associate Professor (Reader)

MSc in Financial Mathematics

Office: C2.14
Phone: +44 (0)24 7652 8384
Email: Oleg dot Kozlovski at warwick dot ac dot uk

 

Teaching Responsibilities 2015/16:
Term 1: MA132 Foundations
Term 1: MA907 Numerical Methods
Term 1 & 2: Asset Pricing and C++

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)