演講者：Prof. Yunping Jiang
              The City University of New York-Graduate Center and Queens College

日　期：2023年08月23日（星期三）11:00

地　點：國立高雄大學理學院408室

講　題：Balanced Geometry in the Furstenberg Conjecture

摘   要：

Consider two dynamical systems $f_{2} (x) =2x \pmod{1}$ and $f_{3} (x) =3x \pmod{1}$ on the unit circle. The Lebesgue measure is both $f_{2}$ and $f_{3}$ invariant and ergodic. The Furstenberg conjecture says that the Lebesgue measure is the only one with this property except for some atomic measures. In this talk, I will give proof of this conjecture under the condition of bounded balanced geometry.