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Marked Length Spectral determination of analytic chaotic billiards
时间:2023年03月09日 10:12 点击数:

报告人:Vadim Kaloshin

报告地点:Zoom ID:878 4254 3003 会议密码:312615

报告时间:2023年3月14日星期二 16:00-17:00

邀请人:李勇、冀书关

报告摘要:

We consider billiards obtained by removing from the plane three strictly convex analytic obstacles satisfying the non-eclipse condition. The restriction of the dynamics to the set of non-escaping orbits is conjugated to a subshift, which provides natural labeling of periodic orbits. Jointly with J. De Simoi and M. Leguil, we show that under suitable symmetry and genericity assumptions, the Marked Length Spectrum determines the geometry of all obstacles. For obstacles without symmetry assumption, V. Otto recently showed that the Marked Length Spectrum along with information about two obstacles determines the geometry of all remaining obstacles.

主讲人简介:

Vadim Kaloshin, 欧洲科学院院士,奥地利科学院教授, 曾获得美国科学院院士提名、西蒙斯数学奖等荣誉, 现担任Adv. Math., Ergodic Theory Dynam. Systems等杂志编委, 主要从事动力系统领域的研究, 在国际上最顶尖的四大综合性数学期刊Acta Math., Ann. of Math., J. Amer. Math. Soc., Invent. Math.上公开发表高质量学术论文8篇, 在Duke Math. J., Geom. Funct. Anal., J. Eur. Math. Soc. (JEMS), Comm. Pure Appl. Math., Arch. Ration. Mech. Anal.等国际权威期刊上公开发表高水平学术论文近70篇.

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