Abstract
<p> We observe that some self-similar measures defined by finite or infinite iterated function systems with overlaps satisfy certain “bounded measure type condition”, which allows us to extract useful measure-theoretic properties of iterates of the measure. We develop a technique to obtain a closed formula for the spectral dimension of the Laplacian defined by self-similar measures satisfying this condition.</p>
Original language | American English |
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State | Published - Dec 26 2016 |
Event | Tsinghua Sanya Mathematics Forum: Analysis on Fractals and Graphs Workshop - Duration: Dec 26 2016 → … |
Conference
Conference | Tsinghua Sanya Mathematics Forum: Analysis on Fractals and Graphs Workshop |
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Period | 12/26/16 → … |
Keywords
- Asymptotics
- Laplacians
- One-dimensional fractal laplacians
- Second-ord identities
DC Disciplines
- Mathematics
- Physical Sciences and Mathematics