70 citations · 176 across the 8 of their papers we have counts for
8 papers
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise
Luisa Beghin, Lorenzo Cristofaro, Janusz Gajda
In the context of non-Gaussian analysis, Schneider [27] introduced grey noise measures, built upon Mittag-Leffler functions; analogously, grey Brownian motion and its generalizatio…
Tempered relaxation equation and related generalized stable processes
Luisa Beghin, Janusz Gajda
Fractional relaxation equations, as well as relaxation functions time-changed by independent stochastic processes have been widely studied (see, for example, \cite{MAI}, \cite{STAW…
Integro-differential equations linked to compound birth processes with infinitely divisible addends
L. Beghin, J. Gajda, A. Maheshwari
Stochastic modelling of fatigue (and other material's deterioration), as well as of cumulative damage in risk theory, are often based on compound sums of independent random variabl…
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…
Modified cumulative distribution function in application to waiting time analysis in CTRW scenario
Rafał Połoczański, Agnieszka Wyłomańska, Janusz Gajda +2
The continuous time random walk model plays an important role in modeling of so called anomalous diffusion behaviour. One of the specific property of such model are constant time p…