Geometry and Analysis of Fractals Hong Kong, December 2012 /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Feng, De-Jun (Επιμελητής έκδοσης), Lau, Ka-Sing (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014.
• Σειρά: Springer Proceedings in Mathematics & Statistics, 88
• Θέματα: Mathematics.; Dynamics.; Ergodic theory.; Measure theory.; Probabilities.; Mathematics, general.; Measure and Integration.; Dynamical Systems and Ergodic Theory.; Probability Theory and Stochastic Processes.

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...

Πίνακας περιεχομένων:

• 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.