This is a 5-week program held at the Institute of Mathematics of Polish Academy of Sciences, aiming at bringing together specialists working in the fields such as Diophantine approximation, holomorphic dynamics, ergodic theory, fractal geometry, to exchange ideas and collaborate on a range of topics and problems. Another goal is to introduce both basic concepts and more advanced techniques and results in this area to younger researchers.
The topics include, but not restricted to:
Brjuno functions
Continued fraction theory and its links with multifractal analysis and dynamical systems
Dimension theory of fractals
Low dimensional real and complex dynamics
Diophantine approximation and geometric measure theory
Smooth dynamics and Ergodic theory
Algorithms: p-adic continued fractions, complex continued fractions, multidimensional generalisations
The scientific program includes a research school, a conference, and a series of mini-courses. The detailed schedules can be found here.