Geometry and Analysis of Fractals

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