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Geometry and Analysis of Fractals: Hong Kong, December 2012 de De-Jun Feng

Geometry and Analysis of Fractals: Hong Kong, December 2012: Springer Proceedings in Mathematics & Statistics, cartea 88

Editat de De-Jun Feng, Ka-Sing Lau
en Limba Engleză Hardback – 15 aug 2014
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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Specificații

ISBN-13: 9783662439197
ISBN-10: 3662439190
Pagini: 350
Ilustrații: VIII, 358 p. 47 illus.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.69 kg
Ediția:2014
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Springer Proceedings in Mathematics & Statistics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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

Textul de pe ultima copertă

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.   

Caracteristici

Promote discussion on the very activity field of fractal geometry and its aspects in analysis, dynamical systems and stochastics Written by international leading experts on their current research in an expository style Suitable for both researchers as well as graduate students with reasonable background in analysis or probability Includes supplementary material: sn.pub/extras