SCIENTIFIC ACTIVITIES

December 18, 2014

THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES
20th ANNIVERSARY YEAR


Back2Fields COLLOQUIUM SERIES
October 30, 2012 at 3:30p.m.
Fields Institute, (map)


Kristian Bjerklöv

Institutionen för Matematik - KTH

Dynamics of maps coupled to an irrational rotation
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Rotation on the circle R/Z by an irrational angle is a well-known and fundamental example of a dynamical system. In particular, if we start with any point on the circle, and repeat rotating it by the fixed angle, we will get a dense orbit on the circle. In many time-discrete applications there appear systems which are coupled to such a motion. For example, there can be coefficients in the system which, at time n, depend on the position of an initial point on the circle, rotated n steps. Quite complicated and surprising phenomena seem to arise in such systems. An important, and much studied, class of systems of this type is difference equations with so-called quasi-periodic coefficients.
In this talk we will focus on the dynamics of one-dimensional interval maps, coupled to an irrational rotation. We will present model problems and discuss possible behaviours.
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Kristian Bjerklöv was a Postdoctoral Fellow during the Thematic Program on
Holomorphic Dynamics, Laminations, and Hyperbolic Geometry (Spring 2006 )



The Back2Fields Colloquium Series celebrates the accomplishments of former postdoctoral fellows of Fields Institute thematic programs. Over the past two decades, these programs attracted the rising stars of their field and often launches very distinguished research careers. As part of the 20th anniversary celebrations, this series of colloquium talks will allow the general mathematical public to become familiar with some of their work.




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