Intermittent behaviors in weakly coupled piecewise-expanding map lattices

发布时间：2018-05-07 作者：浏览次数：

Speaker:	王奕倩教授	DateTime:	2018年5月11日（周五）下午14：50-15:50
Brief Introduction to Speaker: 王奕倩教授，南京大学数学系。		Place:	六号楼二楼报告厅
Abstract:Since 1980s, the existence of absolutely continuous invariant measures for weakly coupled piecewise-expanding map lattices (WCPEML) have been obtained by a functional analysis method. However, most of these results are not enough to study intermittent behaviors in WCPEML, which is observed almost everywhere in Lebesgue measure. Recently, we proposed a new method and proved this behavior. More precisely, we show that in WCPEML with two nodes, for almost every initial points, it holds that and , where , correspond to the coordinates of two nodes at the iterative step . We also prove the same conclusion for weakly coupled tent-map lattices with any multi-nodes.