Conferences  >  Physics  >  Complex Systems, Chaos and Self-Organisation

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

Courses and Events for Math Students and Early Career Researchers,    Courses and Events for Physics Students

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The study of return-times and hitting-times of small sets ("rare events") in ergodic dynamical systems has undergone some intense research in the past 20 years. It is part of the wider field of probabilistic properties of (deterministic) dynamical systems. One general motivation from the sciences is that the times at which various extreme events (possibly modeling catastrophes in real-world systems) occur, often cannot be predicted over a reasonably long period. It is therefore important to at least understand the statistical laws governing these occurrences. Accordingly, there are well-developed stochastic models describing such rare events and enabling further theoretical analysis. These stochastic descriptions, however, necessarily start from simplifying assumptions and sometimes disregard additional detailed knowledge about the mechanisms driving the system. In contrast, there is a branch of ergodic theory which aims at analysing dynamical system models which incorporate this extra information, and rigorously derives statistical properties from the underlying deterministic dynamics. The central theme of this workshop is the aspiration for finding and proving probabilistic limit theorems which clarify patterns of occurrences of extreme events in nonlinear dynamics.

Systems theory, Control and Automation,    Probability and Statistics, Game Theory

Max Planck Institute for the Physics of Complex Systems (MPI-PKS)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Probability and Statistics, Game Theory,    Modeling and Simulation

Max Planck Institute for the Physics of Complex Systems (MPI-PKS)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Max Planck Institute for the Physics of Complex Systems (MPI-PKS)

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Calculus, Differential Equations and Integration,    Optimization Theory, Operational Research

Max Planck Institute for the Physics of Complex Systems (MPI-PKS)

Hausdorff Research Institute for Mathematics (HIM)

Disordered systems emerge from physical models by incorporating additional random effects. They also appear as models for complex systems in various contexts, such as computer science or biology. Understanding these models rigorously has been a great challenge for several decades, but the mathematical research in disordered systems and related fields has seen tremendous progress in recent years and benefits from a fruitful interplay of techniques from probability theory, mathematical analysis, combinatorics and mathematical physics. The aim of the school is to present to PhD students and young researchers some of the most fascinating developments in disordered systems and related fields in recent years.

Courses and Events for Math Students and Early Career Researchers,    Systems theory, Control and Automation

Max Planck Institute for the Physics of Complex Systems (MPI-PKS)

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

Courses and Events for Math Students and Early Career Researchers,    Courses and Events for Physics Students