BYU

Abstract by Jason Day

Personal Infomation


Presenter's Name

Jason Day

Degree Level

Masters

Abstract Infomation


Department

Mathematics

Faculty Advisor

Todd Fisher

Title

Topological Mixing of Suspension Flows with Dense Periodic Points

Abstract

Much research has been conducted to find conditions that guarantee mixing or non-mixing in suspension or special flows in the measure-theoretic setting.  For particular flows, mixing does not occur if and only if the roof function is cohomologous to a constant.  We show that an analogous statement holds for topological mixing in the case where the periodic points are dense.  We also show that in this setting, the set of roof functions that induce a mixing suspension is open and dense in the space of continuous roof functions.