Computation in Dynamics Workshop _ ICERM, Brown University - April 4-8, 2016

Computation in Dynamics (April 4-8, 2016)

http://icerm.brown.edu/programs/sp-s16/w3/

Registration opens spring 2015
Organizing Committee_

• Denis Gaidashev
  (Uppsala University)
• Stefano Galatolo
  (University of Pisa)
• Stefano Luzzatto
  (ICTP)
• Warwick Tucker
  (Uppsala University)
• Michael Yampolsky
  (University of Toronto)

DescriptionNumerical computations have always played an important role in the development of the theory of Differential Equations and Dynamical Systems, more and more so as the availability and power of computer has increased dramatically over the last few decades. At the same time, the limitations of computer-assisted numerical calculations have also become increasingly apparent. Notwithstanding their enormous power, the intrinsic finite resolution of computers can lead to significant errors, especially as a result of a large number of calculations through which small errors can accumulate.

An important and growing approach to certain mathematical problems consists of developing rigorous numerical techniques in combination with more classical analytic methods in order to obtain rigorous qualitative and quantitative results. In some cases this leads to the proof of deep mathematical theorems and in other cases to quantitative, and thus more concrete and applicable, versions of abstract existence results.

This workshop will bring together experts in Dynamical Systems and experts in the theory of Computability to exchange ideas and results, and promote collaborations in view of significant developments in the field over the next few years.

The workshop will include four main streams of research:

• Approximation of Dynamical Quantities
• Regular and Stochastic Properties
• Renormalization
• Computability in Dynamics