Abstract:
Gaussian fields and their level sets are of significant mathematical interest, but they also appear in many other areas of science: oceanography, cosmology and engineering, just to name a few. In this talk I will give an gently introduction to the geometric theory of smooth Gaussian fields, will discuss conjectures about their connection with percolation models and will talk about recent progress in this area.
Biography:
Dmitry Beliaev is a professor of mathematics at the Mathematical Institute, University of Oxford. He received his Ph.D. in 2005 at the Royal Institute of Technology (Stockholm) under the supervision of Prof. S. Smirnov. After that he was a Veblen Instructor at Princeton University and IAS and later on an assistant professor at Princeton University. His research interests range from potential theory and complex analysis to probability and mathematical physics.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai