- Date: 2 Nov.(Thu.)
- Place: W.W. 6th-floor, Colloquium Room
- Time: 16:30-18:00
- Speaker: Kanji Inui (Kyoto university)
- Title: Discontinuity of energy density functions on Sierpinski gasket
- Abstract: N-dimensional Sierpinski gasket is one of most important fractal. we consider energy density functions on it. Bell, Ho and Strichartz proved that this functions are discontinuous at every point if N = 2 [1]. I will talk about discontinuity of energy density functions on N-dimensional Sierpinski gasket.
[1] R. Bell, C. W. Ho and R. S. Strichartz, Energy measures of harmonic functions on the Sierpiński gasket, Indiana Univ. Math. J. 63 (2014), 831–868
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