This was part of Randomness in Topology and its Applications

Random fields beyond the null: building models from critical points

Jonathan Taylor, Stanford University

Wednesday, March 22, 2023


Random field theory (RFT) has proven successful at understanding the null behavior of smooth random fields under the null / centered model. The main tool used in such analyses is the Kac-Rice formula that essentially enables description of a Palm theory for the process. Using the Kac-Rice framework, we consider inference in models derived from the critical points of the process itself.