Department of Mathematics seminar - Chaos, integrability, and wave-turbulence

Research Centre: Department of Mathematics

Abstract:

In this talk I present three topics. In the first part, I will talk about the butterfly effect and the role of out-of-time-order correlators in diagnosing chaos.

In the second part, I will consider integrable string motion and describe a new discrete way of computing the time-evolution.

In the third part, I study a string that stretches between two points. Perturbing one of the endpoints creates a large propagating wave. The non-linear time-evolution produces a number of interesting phenomena: energy cascades, pair-creation of cusps, and evaporating regions on the string.

The underlying theme is that the string worldsheet can be thought of as a toy model in order to understand various physical phenomena in more complex systems.