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(7月21日)Spectral dimension and the essentially finite type condition for measures
来源: 陈黎   发布时间:2017-7-19   阅读次数:496

报告人: Prof. Sze-Man Ngai (倪思敏,Georgia Southern Univeristy,湖南师范大学)

题目:Spectral dimension and the essentially finite type condition for measures.

摘要:The spectral dimension of the Laplacian defined by a measure has been shown to be closely related to heat kernel estimates, which under suitable conditions determine whether wave propagates with finite or infinite speed. We observe that some self-similar measures defined by finite or infinite iterated function systems with overlaps satisfy certain ``essentially finite type condition", which allows us to extract useful measure-theoretic properties of iterates of the measure. We develop a technique to obtain, under this condition, a closed formula for the spectral dimension of the Laplacian. Earlier results for fractal measures with overlaps rely on Strichartz second-order identities, which are not satisfied by the measures we consider here. This is a joint work with Wei Tang and Yuanyuan Xie.

报告时间:2017年7月21日下午3:00-4:00

报告地点:欧阳纯美楼314

联系人:阮火军(ruanhj@zju.edu.cn

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