The theory of infinite-dimensional dynamical systems is a vibrant field of mathematical development and has become central to the study of complex physical, biological, and societal processes.
Peter Polacik, one of the annual program organizers, noted that the theory of infinite dimensional dynamical systems provides an effective way of studying and developing other mathematical theories, such as partial differential equations, delay differential equations, lattice dynamics, and stochastic processes.
The theory of random dynamical systems and stochastic differential equations provides fundamental ideas and tools for the modeling, analysis, and prediction of complex phenomena; a large portion of the year will be devoted to the theory and application of stochastic dynamics.
"All of these theories have seen a rapid growth and monumental progress in the last decades, both in their theoretical aspects and in the scope of their applications," Polacik said.
"This makes it extremely desirable to provide specialists with different backgrounds in infinite dimensional dynamical systems with a platform for an exciting exchange of ideas and insights into this vast research area, and the IMA is an ideal place to accomplish this goal," he added.
A week-long tutorial launched the new program year, with the first workshop, Dynamical Systems in Studies of Partial Differential Equations, beginning on September 24 and running through September 28, 2012.
This year, the IMA will host more than 40 long-term visitors, with 19 post-doctoral fellows in residence.
The new thematic program runs from September 2012 to June 2013. More information is available online.