Beyond Uniform Hyperbolicity 2025

The meeting belongs to a series of conferences organized since 2001) (Bedlewo, Poland (2023 and 2013), Luminy, France (2019 and 2011) Provo, USA (2017), Olmué, Chile (2015), Beijing, China (2009), Chicago, IL, USA (2006), Búzios, Brazil (2003), Evanston, USA (2001))  they have been instrumental for collaborations among the participants, furthering the subject and leading to new connections between different directions in the field.

 The topics covered by the meeting include:

Partial hyperbolicity, Nonuniform hyperbolicity, Lyapunov exponents | Bifurcations: homoclinic tangencies, heterodimensional cycles | Typical phenomena: robustness, genericity, prevalence | Physical and Sinai-Ruelle-Bowen measures | Dimension theory, Thermodynamical Formalism | Statistical properties: decay of correlations, limit theorems | Symbolic dynamics, entropy, coding | Classification of dynamical systems, group actions and rigidity phenomena.

 Organizers: Alejandro Kocsard (IMPA), Andrey Gogolev (Ohio State University), Andy Hammerlindl (Monash University), Danijela Damjanovic (Kungliga Tekniska Högskolan), Disheng Xu (Great Bay University), Katrin Gelfert (Federal University of Rio de Janeiro), Jairo Bochi (PennState University), Michele Triestino (Université de Bourgogne), Rafael Potrie (Universidad de la Republica)

Local Organiser: Stefano Luzzatto (ICTP)

Secretary: Viktoriya Lvova, Adriana Pinto (ICTP)