We will present some large scale asymptotics related to the fashion in which the trajectory of a simple random walk in dimension three and above can disconnect a macroscopic body from infinity. We will relate this question to some similar disconnection problems for random interlacements and the level sets of the Gaussian free field. Some of the results discussed in this talk have been obtained in collaboration with Xinyi Li.
Biography
Alain-Sol Sznitman is Professor of Mathematics at the ETH Zurich. His research concerns probability theory with a special interest for problems of random media. He is the author of more than a hundred of research papers and several research monographs.
Prof. Sznitman received many awards and prizes. Among them are Rollo Davidson Prize, Line and Michel Loève Prize, the Alfred P. Sloane Fellowship. He is member of the Academia Europaea and Fellow of the AMS. Prof. Sznitman was an invited speaker at ICM.