Fractal Geometry and Applications

Multifractals: Introduction to infinite products of independent random functions (Random multiplicative multifractal measures, part I) by J. Barral and B. B. Mandelbrot Non-degeneracy, moments, dimension, and multifractal analysis for random multiplicative measures (Random multiplicative multifractal measures, part II) by J. Barral and B. B. Mandelbrot Techniques for the study of infinite products of independent random functions (Random multiplicative multifractal measures, part III) by J. Barral Wavelet techniques in multifractal analysis by S. P. Jaffard The 2-microlocal formalism by J. L. Vehel and S. Seuret A vectorial multifractal formalism by J. Peyriere Probability and statistical mechanics: Heat kernel estimates for symmetric random walks on a class of fractal graphs and stability under rough isometries by B. M. Hambly and T. Kumagai Random fractals and Markov processes by Y. Xiao On the scaling limit of planar self-avoiding walk by G. F. Lawler, O. Schramm, and W. Werner Conformal fractal geometry & boundary quantum gravity by B. Duplantier Applications: Self-organized percolation power laws with and without fractal geometry in the etching of random solids by A. Desolneux, B. Sapoval, and A. Baldassarri Nature inspired chemical engineering-Learning from the fractal geometry of nature in sustainable chemical engineering by M.-O. Coppens Fractal forgeries of nature by F. K. Musgrave.