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[Коллоквиум]: On scale invariance, multifractal formalism, and their applications

1,295 views · Published 13 October 2014 · 1:18:31 · Indexed 16 October 2026

Channel: ФКН ВШЭ · 2014 · Education

Докладчик: Geoffrey Gérard Décrouez
Scale invariance represents a relatively new way to analyse and model real world data. It find numerous applications in many diverse fields, including the study of natural phenomena in physics, biology, but also man-made applications such as signal and image processing. Data presenting scale invariance do not have a well defined time scale playing a dominant role. Instead, their dynamics can be understood from the relationship existing across a whole range of scales. Multifractal theory is particularly useful for analysing this kind of data.In this talk I will present some basic notions of fractal theory, and then discuss the multifractal formalism.
I will illustrate the theory with examples taken from the literature and my research, including multiplicative cascades on trees and random processes in multifractal time.

[Коллоквиум]: On scale invariance, multifractal formalism, and their applications

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