Analysis and Probability

This workshop will focus on the recent progress in Analysis with particular attention to the problems that are either directly motivated by Probability or use probabilistic ideas and techniques. For example, recent progress of Logunov and Malinnikova who proved the Nadirashvili's conjecture and obtained the lower bound in Yau's conjecture about the size of nodal sets for Laplace eigenfunctions or analytic proof by Tolsa and Volberg of Tsirelson's theorem about harmonic measures. Talks will give an overview of the current state of the area and present recent progress in several long-standing open questions.

Participants: Kari Astala (Aalto), Oleg Ivrii (Caltech), Nikolai Makarov (Caltech), Andrei Okunkov (Columbia), Alexei Poltoratski (Texas A&M), Eero Saksman (Helsinki), Sasha Sodin (Tel Aviv), Xavier Tolsa (UA Barcelona), Yilin Wang (ETH)

Registration:  Registration is free but required; please email Naomi Kraker, providing the name of your institution.  Students please also provide a letter of reference from your supervisor.