Alex Blumenthal
Georgia Institute of Technology, Atlanta, USA

Many systems of real-world interest are observed, numerically and empirically, to exhibit chaotic behavior, yet it remains a notoriously challenging problem to prove, for concrete systems in general position, whether or not chaotic behavior is present in positive-volume sets of phase space, e.g., sensitive dependence on initial conditions or rapid decay of correlations. Remarkably, this problem is more tractable in the presence of noise. In this talk I will discuss a framework for proving a positive Lyapunov exponent and almost-sure exponential correlation decay for a class of random incompressible flows due to Pierrehumbert. Joint work with Michele Coti-Zelati and Rishabh Gvalani.