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＜電子ブック＞
Fractal geometry and applications : a jubilee of Benoît Mandelbrot / Michel L. Lapidus (managing editor), Machiel van Frankenhuijsen, editors
(Proceedings of symposia in pure mathematics. ISSN:00820717 (print) ; v. 72.1)

出版者	Providence, R.I : American Mathematical Society
出版年	c2004
大きさ	1 online resource (1 online resource (2 v. : ill.))
著者標目	Mandelbrot, Benoit B Lapidus, Michel L 1956- Van Frankenhuysen, Machiel 1967-
件　名	LCSH:Measure theory -- Congresses  全ての件名で検索 LCSH:Fractals -- Congresses  全ての件名で検索 LCSH:Ergodic theory -- Congresses  全ての件名で検索
内容注記	Fractal geometry and applications✹An introduction to this volume / Michel L. Lapidus Reflections, ripples and fractals / Michel Mendès France Lacunarity, Minkowski content, and self-similar sets in $\mathbb {R}$ / Marc Frantz Fractals and geometric measure theory: friends and foes / Frank Morgan Eigenmeasures, equidistribution, and the multiplicity of $\beta $-expansions / Hillel Furstenberg and Yitzhak Katznelson Distances on topological self-similar sets / Atsushi Kameyama Energy and Laplacian on the Sierpiński gasket / Alexander Teplyaev Electrical networks, symplectic reductions, and application to the renormalization map of self-similar lattices / Christophe Sabot Notes on Bernoulli convolutions / Boris Solomyak Some connections between Bernoulli convolutions and analytic number theory / Titus Hilberdink On Davenport expansions / Stéphane Jaffard Hausdorff dimension and Diophantine approximation / M. Maurice Dodson and Simon Kristensen Fractality, self-similarity and complex dimensions / Michel L. Lapidus and Machiel van Frankenhuijsen The invariant fractals of symplectic piecewise affine elliptic dynamics / Byungik Kahng Almost sure rotation number of circle endomorphisms / Sylvain Crovisier Kneading determinants and transfer operators in higher dimensions / Viviane Baladi The spectrum of dimensions for Poincaré recurrences for nonuniformly hyperbolic geometric constructions / Valentin Afraimovich, Leticia Ramírez and Edgardo Ugalde A survey of results in random iteration / Mark Comerford On fibers and local connectivity of Mandelbrot and Multibrot sets / Dierk Schleicher
一般注記	Includes bibliographical references http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/0940 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112100 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112101 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112102 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112103 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112104 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112105 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112106 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112107 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112108 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112109 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112110 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112111 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112112 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112113 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112114 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112115 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112116 http://www.ams.org/pspum/072.1 http://dx.doi.org/10.1090/pspum/072.1/2112117 Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2012 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/pspum/072.1 Information=Contents HTTP:URL=http://dx.doi.org/10.1090/pspum/072.1 Information=Contents

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