Monday Analysis Seminar: Essential self-adjointness of Laplacians and multiparameter processes

2017-2-13 16:30 - 2017-2-13 18:00
Faculty of Science Building #3 Room 210
Michael Hinz (Bielefeld University)
It is well known that if one removes a closed set from a complete Riemannian manifold, the Markov uniqueness of the Laplacian with smooth functions, compactly supported in the complement of that set, can be characterized using 1-capacities and hitting probabilities of Brownian motion. We study analogous characterizations for essential self-adjointness, then in terms of 2-capacities and, in cases we can treat, multiparameter processes. We also discuss related results for fractional Laplacians. The presented results are joint work in progress with Jun Masamune.