Фрактальний аналіз часових рядів: напрямки досліджень / Fractal analysis of time series: areas of research
Oleksii Panasenko (Vinnytsia Mykhailo Kotsiubynskyi State Pedagogical University; Nestlogic Inc.)
24-Jun-2021, 12:30-14:00 (3 years ago)
Abstract: У першій частині доповіді йдеться про традиційні підходи до аналізу і прогнозування часових рядів, а в другій частині — про особливості використання інструментарію фрактального аналізу для вказаних задач.
The first part of the talk is devoted to the review of traditional approaches to time-series analysis and forecasting. In the second part we discuss fractal analysis tools for these tasks.
Ukrainianclassical analysis and ODEsstatistics theory
Audience: advanced learners
Семінар з фрактального аналізу / Fractal analysis seminar
Series comments: 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.
The talks are mostly in Ukrainian but English is also acceptable
Organizers: | Mykola Pratsiovytyi, Oleksandr Baranovskyi* |
*contact for this listing |
Export talk to