Convergence Rate of Birkhoff Spectrum for Non-integrable Observables
Time: 2026-10-07
Published By: He Liu
Speaker(s): Boyuan Zhao (BICMR)
Time: 15:00-16:00 October 9, 2026
Venue: Room 77201, Jingchunyuan 78, BICMR
We consider interval maps with countably many full branches and observables with polynomial tails. We show that the Birkhoff spectrum is real analytic and that its convergence to the Hausdorff dimension of the repeller is governed by the polynomial tail exponent. Proof techniques are derived from Y.Arima's work, and result can be applied to wide range of systems with intermittency behaviour including ODE systems too.
