Convergence of Birkhoff sums of heavy-tailed observables on Gibbs-Markov systems to stable laws and applications (joint with An Chen and and Andrew Torok)
Matthew Nicol (U of Houston)
Mar 22. 2024, 11:00 — 12:00
We prove distributional convergence to a stable law for functions $\phi: [0,1]\rightarrow R$, most of form $\phi(x)=d(x,x_0)^{-1/\alpha}$, $0<\alpha<2$, on Gibbs-Markov maps and, in some parameter regimes, intermittent-type maps.