Aleksander Weron
Wrocław University of Technology
136 Papers
688 Citations
Aleksander Weron is an academic researcher from Wrocław University of Technology. The author has contributed to research in topics: Anomalous diffusion & Fractional Brownian motion. The author has an hindex of 35, co-authored 134 publications. Previous affiliations of Aleksander Weron include University of North Carolina at Chapel Hill & University of Wrocław.
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Papers
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Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes
TL;DR: In this article, a computer simulation of alpha-stable random variables is presented for continuous-time processes, and a guide to simulation can be found in the Appendix of the paper "A Guide to Simulation of Continuous Time Processes".
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Simulation and Chaotic Behavior of α-Stable Stochastic Processes
TL;DR: In this paper, the authors describe alpha-stable stochastic modeling convergence of approximate methods and hierarchy of chaos for stable and ID stationary processes, as well as a guide to simulation.
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Fractional brownian motion versus the continuous-time random walk: a simple test for subdiffusive dynamics.
TL;DR: A simple test, based on the analysis of the so-called p variations, which allows distinguishing between the two models on the basis of one realization of the unknown process, shows that it is likely that fractional Brownian motion is the underlying process.
Single-molecule imaging reveals receptor–G protein interactions at cell surface hot spots
Titiwat Sungkaworn,Marie-Lise Jobin,Krzysztof Burnecki,Aleksander Weron,Martin J. Lohse,Martin J. Lohse,Davide Calebiro +6 more
TL;DR: The concerted motion of G-protein-coupled receptors and G proteins on the plasma membrane is analyzed and a quantitative model is provided that reveals the key factors that underlie the high spatiotemporal complexity of their interactions.
Fractional Fokker-Planck dynamics: stochastic representation and computer simulation.
TL;DR: A computer algorithm for the visualization of sample paths of anomalous diffusion processes is developed based on the stochastic representation of the fractional Fokker-Planck equation describing anomalous distribution in a nonconstant potential.