Harmonic Analysis applied to Geometry of Fractal Sets

调和分析应用于分形集的几何

• 批准号: 1704365
• 负责人: Krystal Taylor
• 金额: $ 2.25万
• 依托单位: Ohio State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1704365&HistoricalAwards=false
• 关键词: Harmonic; Analysis; applied; Geometry; Fractal

This award provides funding to help defray the expenses of participants in the conference "Harmonic Analysis Applied to Geometry of Fractal Sets" that will be held February 3-5, 2017, on the campus of Ohio State University. For additional information see the website https://u.osu.edu/hafs2017/This conference is devoted to the study of problems that lie at the interface of harmonic analysis and the geometry of fractal sets (e.g., the Falconer distance conjecture; the existence of geometric configurations, such as triangles, within fractal sets; the relationship between the Fourier transform and Hausdorff dimension). There will be nine featured speakers: Seymon Dyatlov, Alex iosevich, Erin Pearse, Lilian Pierce, Malabika Pramanik, Sze-Man Ngai, Karoly Simon, Pablo Shmerkin, and Mariusz Urbanski. The program allows ample oppportunity for junior mathematicians to present their work.

该奖项提供资金，以帮助支付参加会议的费用“谐波分析应用于分形集的几何”，将于2017年2月3日至5日，在俄亥俄州州立大学的校园。有关更多信息，请参阅网站https://u.osu.edu/hafs2017/This会议致力于研究位于调和分析和分形集几何界面的问题（例如，法尔科纳距离猜想;分形集合中几何结构的存在，如三角形;傅里叶变换和豪斯多夫维数之间的关系）。将有九位主讲人：Seymon Dyatlov，Alex iosevich，Erin Pearse，Lilian Pierce，Malabika Pramanik，Sze-Man Ngai，Karoly Simon，巴勃罗Shmerkin和Mariusz Urbanski。该计划为初级数学家提供了充分的机会来展示他们的工作。