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Found 71 Documents (Results 1–71)

The Laplacian on some self-conformal fractals and Weyl’s asymptotics for its eigenvalues: a survey of the analytic aspects. (English) Zbl 1486.35315

Inahama, Yuzuru (ed.) et al., Stochastic analysis, random fields and integrable probability – Fukuoka 2019. Proceedings of the 12th Mathematical Society of Japan, Seasonal Institute (MSJ-SI), Kyushu University, Japan, 31 July – 9 August 2019. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 87, 293-315 (2021).
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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).
MSC:  35P20 28A80
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Infinite determinantal measures and the ergodic decomposition of infinite Pickrell measures. III: The infinite Bessel process as the limit of the radial parts of finite-dimensional projections of infinite Pickrell measures. (English. Russian original) Zbl 1361.22006

Izv. Math. 80, No. 6, 1035-1056 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 43-64 (2016).
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Non-regularly varying and non-periodic oscillation of the on-diagonal heat kernels on self-similar fractals. (English) Zbl 1325.28009

Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics II: Fractals in applied mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9148-3/pbk; 978-1-4704-1083-4/ebook). Contemporary Mathematics 601, 165-194 (2013).
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Analysis and geometry of the measurable Riemannian structure on the Sierpiński gasket. (English) Zbl 1325.28001

Carfì, David (ed.) et al., Fractal geometry and dynamical systems in pure and applied mathematics I: Fractals in pure mathematics. Selected papers based on three conferences following the passing of Benoît Mandelbrot in October 2010. 1st PISRS 2011 international conference on analysis, fractal geometry, dynamical systems and economics, Messina, Italy, November 8–12, 2011, AMS special session on fractal geometry in pure and applied mathematics, in memory of Benoît Mandelbrot, Boston, MA, USA, January 2012, AMS special session on geometry and analysis on fractal spaces, Honolulu, HI, USA, March 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9147-6/pbk; 978-1-4704-1082-7/ebook). Contemporary Mathematics 600, 91-133 (2013).
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Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup. (English) Zbl 1208.28009

Dai, Xianzhe (ed.) et al., From probability to geometry I. Volume in honor of the 60th birthday of Jean-Michel Bismut. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-288-4/pbk). Astérisque 327, 17-45 (2009).
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Some examples of two-term spectral asymptotics for sets with fractal boundary. (English) Zbl 0836.35109

Demuth, M. (ed.) et al., Partial differential operators and mathematical physics. International conference in Holzhau, Germany, July 3-9, 1994. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 78, 227-233 (1995).
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Heat content asymptotics for some open sets with a fractal boundary. (English) Zbl 0851.35050

Cranston, Michael C. (ed.) et al., Stochastic analysis. Proceedings of the Summer Research Institute on stochastic analysis, held at Cornell University, Ithaca, NY, USA, July 11-30, 1993. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 57, 11-22 (1995).
MSC:  35K20 35K05 28A80
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