Convergence Rate of Birkhoff Spectrum for Non-integrable Observables
发布时间：2026年10月07日
浏览次数：7
发布者: He Liu
主讲人： 赵博原（数学中心）
活动时间： 从 2026-10-09 15:00 到 16:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
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.
