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 program includes:

•  School in Będlewo

• Conference in Warsaw

• 3 weeks of activities in Warsaw, dedicated to seminars, minicourses and intense collaboration. 

 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

Senior Leaders

• Balázs Bárány

• Valérie Berthé

• Károly Simon