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DR BJÖRN WINCKLER

Marie Skłodowska-Curie Fellow

 
 

Room: 6M33 Huxley Building

About Me

I am a Marie Skłodowska-Curie Individual Fellow at the Department of Mathematics, Imperial College London. My research is in low-dimensional dynamical systems, focusing on renormalization and associated phenomena such as universality and rigidity. Currently, I am interested in systems where these phenomena no longer hold in their classical formulation, for example in Lorenz dynamics.

In Lorenz dynamics the description of universality and rigidity is much more intricate than for classical systems such as unimodal maps and critical circle maps. This is due to the presence of non-trivial dynamics of the renormalization operator inside topological conjugacy classes of infinitely renormalizable maps. The article Instability of renormalization is the first to investigate this instability phenomenon. In The Lorenz Renormalization Conjecture a more global picture of the Lorenz renormalization operator is outlined.

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Publications