AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Fractal Geometry and Applications: A Jubilee of Benoît Mandelbrot, Part 1: Analysis, Number Theory, and Dynamical Systems
About this Title
Michel L. Lapidus, University of California, Riverside, CA and Machiel van Frankenhuijsen, Utah Valley State College, Orem, UT, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
2004; Volume 72.1
ISBNs: 978-0-8218-3637-8 (print); 978-0-8218-9377-7 (online)
DOI: https://doi.org/10.1090/pspum/072.1
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Articles
- Michel L. Lapidus – Fractal geometry and applications—An introduction to this volume
Analysis
- Michel Mendès France – Reflections, ripples and fractals [MR 2112100]
- Marc Frantz – Lacunarity, Minkowski content, and self-similar sets in $\mathbb {R}$ [MR 2112101]
- Frank Morgan – Fractals and geometric measure theory: friends and foes [MR 2112102]
- Hillel Furstenberg and Yitzhak Katznelson – Eigenmeasures, equidistribution, and the multiplicity of $\beta$-expansions [MR 2112103]
- Atsushi Kameyama – Distances on topological self-similar sets [MR 2112104]
- Alexander Teplyaev – Energy and Laplacian on the Sierpiński gasket [MR 2112105]
- Christophe Sabot – Electrical networks, symplectic reductions, and application to the renormalization map of self-similar lattices [MR 2112106]
- Boris Solomyak – Notes on Bernoulli convolutions [MR 2112107]
Number theory
- Titus Hilberdink – Some connections between Bernoulli convolutions and analytic number theory [MR 2112108]
- Stéphane Jaffard – On Davenport expansions [MR 2112109]
- M. Maurice Dodson and Simon Kristensen – Hausdorff dimension and Diophantine approximation [MR 2112110]
- Michel L. Lapidus and Machiel van Frankenhuijsen – Fractality, self-similarity and complex dimensions [MR 2112111]
Dynamical systems
- Byungik Kahng – The invariant fractals of symplectic piecewise affine elliptic dynamics [MR 2112112]
- Sylvain Crovisier – Almost sure rotation number of circle endomorphisms [MR 2112113]
- Viviane Baladi – Kneading determinants and transfer operators in higher dimensions [MR 2112114]
- Valentin Afraimovich, Leticia Ramírez and Edgardo Ugalde – The spectrum of dimensions for Poincaré recurrences for nonuniformly hyperbolic geometric constructions [MR 2112115]
- Mark Comerford – A survey of results in random iteration [MR 2112116]
- Dierk Schleicher – On fibers and local connectivity of Mandelbrot and Multibrot sets [MR 2112117]