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Explore the concept of telegraphic multifractional Brownian motion and its real-world applications in this 27-minute conference talk presented by Michał Balcerek from Politechnika Wrocławska at the 51st Conference on Applications of Mathematics. Delve into the motivation behind this stochastic process, its relevance in biological experiments, and how it can be used to model experimental data. Gain insights into the fractional Brownian mode, the telegraphic multifractional environment, and the smooth telegram process. Examine the trajectories, covariance, and results of this mathematical model, and discover its practical applications in various fields.
Syllabus
Introduction
Motivation
Applications
Biological experiments
Experimental data
Fractional Brownian mode
Telegraphic multifractional environment
Stochastic process
Smooth telegram process
Trajectories
Results
Covariance
Application
Taught by
Banach Center