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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
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.
Content Level »Research
Keywords »Dirichlet form - Ergodic average - Fractal curvature - Heat kernel - Metric measure space, - Multifractal, percolation - Self-similar sets and measures - Sierpinski carpet - Spectral measure - Transfer operator