43 citations · 49 across the 2 of their papers we have counts for
5 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…
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…
The dependence structure for PARMA models with alpha-stable innovations
Joanna Nowicka-Zagrajek, Agnieszka Wylomanska
In this paper we investigate the dependence structure for PARMA models (i.e. ARMA models with periodic coefficients) with symmetric alpha-stable innovations. In this case the covar…