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Geometry and Analysis of Fractals

Hong Kong, December 2012

This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written by the leading experts in their respective fields. The articles are based on papers presented at the International Conference on Advances on Fractals and Related Topics, held on December 10-14, 2012 at the Chinese University of Hong Kong. The volume offers insights into a number of exciting, cutting-edge developments in the area of fractals, which has close ties to and applications in other areas such as analysis, geometry, number theory, probability and mathematical physics.

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Produktbeschreibung

This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written by the leading experts in their respective fields. The articles are based on papers presented at the International Conference on Advances on Fractals and Related Topics, held on December 10-14, 2012 at the Chinese University of Hong Kong. The volume offers insights into a number of exciting, cutting-edge developments in the area of fractals, which has close ties to and applications in other areas such as analysis, geometry, number theory, probability and mathematical physics. 

Inhaltsverzeichnis

Mandelbrot cascades and related topics.- Law of pure types and some exotic spectra of fractal spectral measures.- The role of transfer operators and shifts in the study of fractals: encoding-models, analysis and geometry, commutative and non-commutative.- Generalized energy inequalities and higher multifractal moments.- Some Aspects of Multifractal analysis.- Heat kernels on metric measure spaces.- Stochastic completeness of jump processes on metric measure spaces.- Self similar sets, entropy and additive combinatorics.- Quasisymmetric modification of metrics on self-similar sets.- Recent progress on dimensions of projections.- The geometry of fractal percolation.- Self-affine sets and the continuity of subadditive pressure.- Stability properties of fractal curvatures 

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Produktdetails

Medium: Buch
Format: Gebunden
Seiten: 368
Sprache: Englisch
Erschienen: August 2014
Auflage: 2014
Maße: 241 x 160 mm
Gewicht: 717 g
ISBN-10: 3662439190
ISBN-13: 9783662439197
Verlagsbestell-Nr.: 86283444

Bestell-Nr.: 15043086 
Libri-Verkaufsrang (LVR):
Libri-Relevanz: 0 (max 9.999)
Bestell-Nr. Verlag: 86283444

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KNO-MS: 97

KNO-SAMMLUNG: Springer Proceedings in Mathematics & Statistics 88
P_ABB: 47 schwarz-weiße Abbildungen, Bibliographie
KNOABBVERMERK: 2014. viii, 358 S. VIII, 358 p. 47 illus. 235 mm
KNOMITARBEITER: Herausgegeben:Feng, De-Jun; Lau, Ka-Sing
Einband: Gebunden
Auflage: 2014
Sprache: Englisch
Beilage(n): HC runder Rücken kaschiert

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