Zobrazeno 1 - 10
of 187
pro vyhledávání: '"Weron, Aleksander"'
Random trajectories of single particles in living cells contain information about the interaction between particles, as well as, with the cellular environment. However, precise consideration of the underlying stochastic properties, beyond normal diff
Externí odkaz:
http://arxiv.org/abs/2310.03034
In this article we study the trapped motion of a molecule undergoing diffusivity fluctuations inside a harmonic potential. For the same diffusing-diffusivity process, we investigate two possible interpretations. Depending on whether diffusivity fluct
Externí odkaz:
http://arxiv.org/abs/2207.14068
Autor:
Stanislavsky, Aleksander A.1 (AUTHOR) a.a.stanislavsky@rian.kharkov.ua, Weron, Aleksander2 (AUTHOR)
Publikováno v:
Journal of Mathematics in Industry. 8/14/2024, Vol. 14 Issue 1, p1-12. 12p.
Autor:
Stanislavsky, Aleksander A.1 (AUTHOR) astex@ukr.net, Weron, Aleksander2 (AUTHOR) aleksander.weron@pwr.edu.pl
Publikováno v:
Fractal & Fractional. Jun2024, Vol. 8 Issue 6, p336. 11p.
Autor:
Janczura, Joanna, Kowalek, Patrycja, Loch-Olszewska, Hanna, Szwabiński, Janusz, Weron, Aleksander
Publikováno v:
Phys. Rev. E 102, 032402 (2020)
Single-particle tracking (SPT) has become a popular tool to study the intracellular transport of molecules in living cells. Inferring the character of their dynamics is important, because it determines the organization and functions of the cells. For
Externí odkaz:
http://arxiv.org/abs/2005.06239
Autor:
Ślęzak, Jakub, Weron, Aleksander
Publikováno v:
Phys. Rev. E 91, 053302 (2015)
Modelling physical data with linear discrete time series, namely Fractionally Integrated Autoregressive Moving Average (ARFIMA), is a technique which achieved attention in recent years. However, these models are used mainly as a statistical tool only
Externí odkaz:
http://arxiv.org/abs/1703.06018
Autor:
Janczura, Joanna, Burnecki, Krzysztof, Muszkieta, Monika, Stanislavsky, Aleksander, Weron, Aleksander
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena January 2022 154
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation October 2021 101
Publikováno v:
In Applied Mathematics and Computation 1 May 2021 396
Publikováno v:
Phys. Rev. E 78, 051106 (2008)
We derive general properties of anomalous diffusion and nonexponential relaxation from the theory of tempered \alpha-stable processes. Its most important application is to overcome the infinite-moment difficulty for the \alpha-stable random operation
Externí odkaz:
http://arxiv.org/abs/1111.3018