Generalized uniform laws for occupation times of intermittent maps

開催日時: 
2020/07/03 Fri 15:00 - 16:30
講演者: 
世良透
講演者所属: 
京都大学
概要: 

Interval maps with neutral fixed points are called intermittent maps. They serve as toy-models of intermittent phenomena in statistical physics. The orbit of an intermittent map exhibits statistical properties similar to renewal processes and one-dimensional diffusion processes. We consider conditional distributions of the orbit given that it stays away from neutral fixed points at terminal time. Under these distributions, we study the scaling limits of occupation times on a neighborhood of a neutral fixed point. Our result is analogous to generalized uniform laws for occupation times of diffusion bridges. This talk is based on joint work with Jon Aaronson (Tel Aviv).