Weyl’s asymptotic formula for fractal Laplacians defined by a class of self-similar measures with overlaps. (English) Zbl 1538.28034
Reviewer: Włodzimierz Ślęzak (Bydgoszcz)
Found 9 Documents (Results 1–9)
Defining curvature as a measure via Gauss-Bonnet on certain singular surfaces. (English) Zbl 1443.53006
An overview of complex fractal dimensions: from fractal strings to fractal drums, and back. (English) Zbl 1423.28023
Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 143-265 (2019).
Regularly varying functions, generalized contents, and the spectrum of fractal strings. (English) Zbl 1423.35282
Niemeyer, Robert G. (ed.) et al., Horizons of fractal geometry and complex dimensions. 2016 summer school on fractal geometry and complex dimensions, in celebration of the 60th birthday of Michel Lapidus, California Polytechnic State University, San Luis Obispo, California, USA, June 21–29, 2016. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 731, 63-94 (2019).
Spectral asymptotics of one-dimensional fractal Laplacians in the absence of second-order identities. (English) Zbl 1396.28017
The sound of fractal strings and the Riemann hypothesis. (English) Zbl 1336.28004
Pomerance, Carl (ed.) et al., Analytic number theory. In honor of Helmut Maier’s 60th birthday. Cham: Springer (ISBN 978-3-319-22239-4/hbk; 978-3-319-22240-0/ebook). 201-252 (2015).
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