98 citations · 244 across the 6 of their papers we have counts for
6 papers
Temperature and friction fluctuations inside a harmonic potential
Yann Lanoiselée, Aleksander Stanislavsky, Davide Calebiro +1
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 investigat…
Classification of particle trajectories in living cells: machine learning versus statistical testing hypothesis for fractional anomalous diffusion
Joanna Janczura, Patrycja Kowalek, Hanna Loch-Olszewska +2
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,…
From physical linear systems to discrete-time series. A guide for analysis of the sampled experimental data
Jakub Ślęzak, Aleksander Weron
Modelling physical data with linear discrete time series, namely Fractionally Integrated Autoregressive Moving Average (ARFIMA), is a technique which achieved attention in recent y…
Diffusion and Relaxation Controlled by Tempered α-stable Processes
Aleksander Stanislavsky, Karina Weron, Aleksander Weron
We derive general properties of anomalous diffusion and nonexponential relaxation from the theory of tempered α-stable processes. Its most important application is to overcome the…
Statistical Modeling of Solar Flare Activity from Empirical Time Series of Soft X-ray Solar Emission
A. A. Stanislavsky, K. Burnecki, M. Magdziarz +2
A time series of soft X-ray emission observed on 1974-2007 years (GOES) is analyzed. We show that in the periods of high solar activity 1977-1981, 1988-1992, 1999-2003 the energy s…
Annuities under random rates of interest - revisited
K. Burnecki, A. Marciniuk, A. Weron
In the article we consider accumulated values of annuities-certain with yearly payments with independent random interest rates. We focus on annuities with payments varying in arith…