Семінар з фрактального аналізу / Fractal analysis seminar
Weekly research seminar on fractal analysis (online)
Topics:
- theory of fractals (fractal geometry and fractal analysis)
- Hausdorff–Besicovitch dimension, techniques and methods for its calculation and estimation
- functions and transformations preserving fractal (Hausdorff–Besicovitch, entropic, box-counting, packing, etc.) dimension
- sets of metric spaces that are essential for functions, sets, and dynamical systems
- self-similar, self-affine properties of mathematical objects
- systems of encoding for real numbers (numeral systems) and their applications
- metric number theory and metric theory of representations of numbers
- probabilistic number theory and probabilistic theory of representations of numbers
- measures supported on fractals, particularly singular measures and probability distributions
- nowhere monotonic and nowhere differentiable functions, functions with fractal properties
- theory of groups determined by invariants of transformations preserving tails of representation of numbers, digit frequencies, etc.
Upcoming talks 1
Jun
4
Discussion 0
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