BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Gary Froyland (University of New South Wales\, Australia) DTSTART:20201103T210000Z DTEND:20201103T220000Z DTSTAMP:20260423T024745Z UID:CRM-CAMP/14 DESCRIPTION:Title: Stability and approximation of statistical limit laws\nby Gary Froyl and (University of New South Wales\, Australia) as part of CRM CAMP (Compu ter-Assisted Mathematical Proofs) in Nonlinear Analysis\n\n\nAbstract\nThe unpredictability of chaotic nonlinear dynamics leads naturally to statist ical descriptions\, including probabilistic limit laws such as the central limit theorem and large deviation principle. A key tool in the Nagaev-Gui varc'h spectral method for establishing statistical limit theorems is a "t wisted" transfer operator. We prove stability of the variance in the centr al limit theorem and the rate\nfunction from a large deviation principle w ith respect to deterministic and stochastic perturbations of the dynamics and perturbations induced by numerical schemes. We then apply these result s to piecewise expanding maps in one and multiple dimensions. This theory can be extended to uniformly hyperbolic maps and in this setting we develo p two new Fourier-analytic methods to provide the first rigorous estimates of the variance and rate function for Anosov maps. This is joint work wi th Harry Crimmins.\n LOCATION:https://researchseminars.org/talk/CRM-CAMP/14/ END:VEVENT END:VCALENDAR