报告人：许雷叶（中国科学技术大学）

时间：2019年5月30日（星期四）09:30—11:10

地点：苏州大学本部精正楼（数学楼）307

摘要：We consider the weighted ergodic optimization problem of a class of dynamical systems. We show that once system satisfies both the Anosov shadowing property (ASP) and the Mane-Conze-Guivarc’h-Bousch property (MCGBP), the minimizing measures of generic Holder observations are uniquely supported on a periodic orbit. Moreover, the above conclusion holds for C^1 observations. Note that a broad class of classical dynamical systems satisfy both ASP and MCGBP, which includes Axiom A attractors, Anosov diffeomorphisms and uniformly expanding maps. Therefore, the open problem proposed by Yuan and Hunt since 1999 is completely solved consequentially.

报告人：许雷叶（中国科学技术大学）

时间：2019年6月4日（星期二）09:30—11:10

地点：苏州大学本部精正楼（数学楼）307

摘要：We consider the weighted ergodic optimization problem for non-degenerate Axiom A attractors of a C^2 flow on a compact smooth manifold. The main result obtained in this paper is that for generic observables from Holder function spaces and C^1 function space, the minimizing measures are uniquely supported on a periodic orbit.