64 citations · 531 across the 31 of their papers we have counts for
8 papers · 1 filter
On the relationship between the Hurst exponent, the ratio of the mean square successive difference to the variance, and the number of turning points
Mariusz Tarnopolski
The long range dependence of the fractional Brownian motion (fBm), fractional Gaussian noise (fGn), and differentiated fGn (DfGn) is described by the Hurst exponent . Considerin…
Testing the anisotropy in the angular distribution of /GBM gamma-ray bursts
Mariusz Tarnopolski
Gamma-ray bursts (GRBs) were confirmed to be of extragalactic origin due to their isotropic angular distribution, combined with the fact that they exhibited an intensity distributi…
Analysis of the observed and intrinsic durations of /BAT gamma-ray bursts
Mariusz Tarnopolski
The duration distribution of 947 GRBs observed by /BAT, as well as its subsample of 347 events with measured redshift, allowing to examine the durations in both the observer…
On the limit between short and long GRBs
Mariusz Tarnopolski
Two classes of GRBs have been identified thus far without doubt and are prescribed to different physical scenarios -- NS-NS or NS-BH mergers, and collapse of massive stars, for sho…
Analysis of Fermi gamma-ray burst duration distribution
Mariusz Tarnopolski
Two classes of GRBs, short and long, have been determined without any doubts, and are usually prescribed to different physical scenarios. A third class, intermediate in du…
Distinguishing short and long gamma-ray bursts
Mariusz Tarnopolski
Two classes of gamma-ray bursts (GRBs), short and long, have been determined without any doubts, and are usually ascribed to different progenitors, yet these classes overlap for a…
Analysis of gamma-ray burst duration distribution using mixtures of skewed distributions
Mariusz Tarnopolski
Two classes of GRBs have been confidently identified thus far and are prescribed to different physical scenarios -- NS-NS or NS-BH mergers, and collapse of massive stars, for short…
Correlation between the Hurst exponent and the maximal Lyapunov exponent: examining some low-dimensional conservative maps
Mariusz Tarnopolski
The Chirikov standard map and the 2D Froeschlé map are investigated. A few thousand values of the Hurst exponent (HE) and the maximal Lyapunov exponent (mLE) are plotted in a mixed…