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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.

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