Strong approximation by Brownian motion for Bunimovich flowers
Alexey Korepanov (Loughborough)
I will talk about processes which appear on Bunimovich flowers (deterministic dynamical systems where a point particle moves inside a table made of several concave arcs, well known for slow memory loss), and about their approximation by a Brownian motion by constructing both on the same probability space so that they are close. This is a rather special result about a rather particular system, but in a way it completes a long line of research. This is a joint work in progress with C. Cuny, J. Dedecker and F. Merlevede.
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