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Fractal geometry and applications : a jubilee of Beno�it Mandelbrot / [electronic resource] Michel L. Lapidus (managing editor), Machiel van Frankenhuijsen, editors. - Providence, R.I. : American Mathematical Society, c2004. - 1 online resource (2 v. : ill.) - Proceedings of symposia in pure mathematics, v. 72.1 0082-0717 (print); 2324-707X (online); .

Includes bibliographical references.

Fractal geometry and applications -- An introduction to this volume / Reflections, ripples and fractals / Lacunarity, Minkowski content, and self-similar sets in $\mathbb $ / Fractals and geometric measure theory: friends and foes / Eigenmeasures, equidistribution, and the multiplicity of $\beta $-expansions / Distances on topological self-similar sets / Energy and Laplacian on the Sierpi�nski gasket / Electrical networks, symplectic reductions, and application to the renormalization map of self-similar lattices / Notes on Bernoulli convolutions / Some connections between Bernoulli convolutions and analytic number theory / On Davenport expansions / Hausdorff dimension and Diophantine approximation / Fractality, self-similarity and complex dimensions / The invariant fractals of symplectic piecewise affine elliptic dynamics / Almost sure rotation number of circle endomorphisms / Kneading determinants and transfer operators in higher dimensions / The spectrum of dimensions for Poincar�e recurrences for nonuniformly hyperbolic geometric constructions / A survey of results in random iteration / On fibers and local connectivity of Mandelbrot and Multibrot sets / Michel L. Lapidus -- Michel Mend�es France -- Marc Frantz -- Frank Morgan -- Hillel Furstenberg and Yitzhak Katznelson -- Atsushi Kameyama -- Alexander Teplyaev -- Christophe Sabot -- Boris Solomyak -- Titus Hilberdink -- St�ephane Jaffard -- M. Maurice Dodson and Simon Kristensen -- Michel L. Lapidus and Machiel van Frankenhuijsen -- Byungik Kahng -- Sylvain Crovisier -- Viviane Baladi -- Valentin Afraimovich, Leticia Ram�irez and Edgardo Ugalde -- Mark Comerford -- Dierk Schleicher -- 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

ISBN: 9780821893777 (online)

Subjects--Topical Terms:
Measure theory--Congresses.
Fractals--Congresses.
Ergodic theory--Congresses.

LC Class. No.: QA325 / .F73 2004

Dewey Class. No.: 510