2018年论坛学术报告

[数学论坛]Erratic behavior for 1-dimensional random walks in generic quasi-periodic environment
几何测度论与相关领域讨论班
发布日期:2018-07-02  浏览量:

报告题目Erratic behavior for 1-dimensional random walks in generic quasi-periodic environment      

报告人Bassam Fayad  教授(法国国家科研中心,法国巴黎六大)

报告时间2018531 (星期四) 下午14:001500      

         

报告地点:旧主楼213      

报告摘要 Sinai proved a localization phenomenon of recurrent one-dimensional nearest-neighbor random walk in random environment. On the other hand, he showed that if the medium is quasi-periodic and Diophantine then the walk behave like a usual walk in constant medium. We show that one-dimensional random walks in a generic symmetric environment have an erratic statistical behavior. We further establish the same erratic behavior for  one-dimensional random walks in a generic quasi-periodic environment (of Liouville frequency).      

报告人简介:Bassam Fayad,现为法国国家科研中心和法国巴黎六大的教授,是国际著名动力系统专家,2018世界数学家大会45分钟邀请报告人。共发表论文四十余篇,其中多篇发表在Ann.Math,  Inventiones, Duke Math. J., GAFA等顶级综合数学杂志。

邀请人:梁湘玉

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