43 citations · 175 across the 7 of their papers we have counts for
7 papers
Leveraging large-deviation statistics to decipher the stochastic properties of measured trajectories
Samudrajit Thapa, Agnieszka Wyłomańska, Grzegorz Sikora +5
Extensive time-series encoding the position of particles such as viruses, vesicles, or individual proteins are routinely garnered in single-particle tracking experiments or superco…
Large deviations of time-averaged statistics for Gaussian processes
J. Gajda, A. Wylomanska, H. Kantz +2
In this paper we study the large deviations of time averaged mean square displacement (TAMSD) for Gaussian processes. The theory of large deviations is related to the exponential d…
Probabilistic properties of detrended fluctuation analysis for Gaussian processes
G. Sikora, M. Hoell, A. Wylomanska +3
The detrended fluctuation analysis (DFA) is one of the most widely used tools for the detection of long-range correlations in time series. Although DFA has found many interesting a…
Optimal parameters for anomalous diffusion exponent estimation from noisy data
Yann Lanoiselée, Denis S. Grebenkov, Grzegorz Sikora +2
The most common way of estimating the anomalous diffusion exponent from single-particle trajectories consists in a linear fitting of the dependence of the time averaged mean square…
Statistical test for fractional Brownian motion based on detrending moving average algorithm
Grzegorz Sikora
Motivated by contemporary and rich applications of anomalous diffusion processes we propose a new statistical test for fractional Brownian motion, which is one of the most popular…
Elucidating distinct ion channel populations on the surface of hippocampal neurons via single-particle tracking recurrence analysis
Grzegorz Sikora, Agnieszka Wyłomańska, Janusz Gajda +4
Protein and lipid nanodomains are prevalent on the surface of mammalian cells. In particular, it has been recently recognized that ion channels assemble into surface nanoclusters i…