报告人：崔鸿飞（中科院数学物理研究所  副研究员）

时间：2017年11月9日9:00-10:00

地点：创新研究院 803

Title: Invariant measures for Interval Maps with Critical Points and Singularities

Abstract: For a class of piecewise $C^2$ interval maps with critical points and singularities (may with discontinuities at critical points and singularities), under a mild condition on the growth of the derivative on critical orbits and the recurrence of such orbits to the critical/singular set, we prove the existence and superpolynomial decay of correlation of an invariant probability measure which is absolutely continuous with respect to Lebsegue measure.