IST Austria and the Austri an Academy of Sciences have initiated a joint lecture series aiming to bri ng to \; Austria speakers of the highest international standing active in fields that are of mutual interest toboth institutions and to a wider public.

The lecture series will be continued by Martin Hairer\, Chai r in Probability and Stochastic Analysis at the Imperial College London. H e is a fellow of the Royal Society and a member of the Austrian Academy of Sciences\, the German National Academy of Sciences Leopoldina and of the Berlin-Brandenburg Academy of Sciences and Humanities. In 2014\, he receiv ed the Fields medal\, &ldquo\;for his outstanding contributions to the the ory of stochastic partial differential equations\, and in particular for t he creation of a theory of regularity structures for such equations&rdquo\ ;.

The lecture will focus on one fascinating aspect of probability t heory: the universal aspect of the objects it allows us to construct. The most well-known example of this phenomenon is the central limit theorem. F or a very large class of collections of random variables\, additive functi onals that only depend weakly on any one element of the collection exhibit Gaussian behaviour in the limit. When taking time evolution into account\ , it turns out that in certain &ldquo\;cross-over regimes&rdquo\; the larg e-scale behaviour of a number of stochastic systems can formally be descri bed by an ill-posed stochastic partial differential equation.

The ta lk will conclude with a Q&\;A followed by a reception.

IST Austri a offers a shuttle bus from Campus to Stubenring 1 (short walk to Dr. Igna z Seipel-Platz 2) and back to Campus after the Lecture.

**>\;Please regi
ster for the event****>\;Registration shuttle bus IST - Vienna -
IST **