GRILL 发表于 2025-3-27 00:15:10
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Julien Barral,Stéphane SeuretProvides an overview of recent developments in mathematical fields related to fractals.Includes original research contributions as well as surveys written by experts in their respective fields.Readers军械库 发表于 2025-3-27 14:18:10
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Recent Developments in Fractals and Related Fields978-3-319-57805-7Series ISSN 2297-0215 Series E-ISSN 2297-024X没花的是打扰 发表于 2025-3-27 23:43:12
The Two-Dimensional Density of Bernoulli Convolutions,ich has an intricate combinatorial structure. Visualizing this structure we discuss results of Erdös, Jóo, Komornik, Sidorov, de Vries, Jordan, Shmerkin and Solomyak, Feng and Wang. We emphasize the role of finite orbits of associated multivalued maps and mention a few new properties and examples.modish 发表于 2025-3-28 04:08:04
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Some Recent Developments of Self-Affine Tiles,d a . if it is also a tile, and call such . a .. In this survey, we review some recent developments on the structure and characterizations of the tile digit sets . for a given .. We also discuss the celebrated Fuglede’s spectral set problem on the self-affine tiles.correspondent 发表于 2025-3-28 13:19:14
A Class of Random Cantor Measures, with Applications,proofs, yet is general enough for several applications and contains the well-known fractal percolation measure. We study self-convolutions and Fourier decay of measures in our class, and present applications of these results to the restriction problem for fractal measures, and the connection between arithmetic structure and Fourier decay.