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                                          • 天元讲堂(5.8)​From Bowen's eyes to physical measures in reparameterized linear toral flows with stopping points
                                          • 浏览量:10 发布人: 发布时间:2020-05-14
                                          • 题目:From Bowen's eyes to physical measures in reparameterized linear toral flows with stopping points

                                            报告人:Martin Andersson (Pontificia Universidad Católica de Valparaíso)

                                            时间:2020/5/8 09:00-10:30

                                            线上讲座,Zoom会议信息见下


                                            报告摘要:Consider a constant vector field  $X = (1, \alpha)$ on $\mathbb{T}^2$. Multiply $X$ by a smooth function $f$ which is positive everywhere except at two points $p$ and $q$, where it vanishes. Let $\phi^t$ be the flow associated to this vector field. One can show that, for such a flow, the only invariant probability measures are combinations of Dirac measures at the points $p$ and $q$. A natural question arises: what happens to the time averages of $\phi^t(x)$ for a Lebesgue-typical point $x \in \mathbb{T}^2$ as $t$ tends to infinity? In this talk I will give some answers to that question.


                                            This is a joint work with Pierre-Antoine Guihéneuf (Université Paris 6, France).


                                            欢迎参加!

                                            邀请人:动力系统与微分方程中心


                                            Zoom会议信息:

                                            会议时间:2020/5/15 09:00-10:30 https://us02web.zoom.us/j/3141591122?pwd=aWVGMGI2YkJQOXlEbk5IckRaRER2Zz09

                                            会议 ID:314 159 1122

                                            会议密码:123456


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