dr Mariusz Tarnopolski (ORCiD)
tarnopolski [ at ] oa.uj.edu.pl; mariusz.tarnopolski [ at ] uj.edu.pl
OA UJ, room 11 (old building)

Research interests:
gamma-ray bursts (statistical analyses)
time series analysis (self-affinity)
high energy astrophysics
blazars
theory of chaos, nonlinear dynamics and fractal geometry applied to various astronomical systems (oblate satellites' rotation, close binary systems, pulsars, cosmic rays, celestial distributions of objects, filaments)
⚫ symbolic programming (Mathematica)

How to write abstracts.pdf
A scrutiny of an abstract.pdf

"The beautiful thing about a statistical analysis is that,
when done right, it includes the odds of being incorrect."

Publications:

Published/accepted:
Analysis of the duration-hardness ratio plane of gamma-ray bursts using skewed distributions, accepted in ApJ, 2018
Gamma-ray burst prompt correlations / (.pdf), Advances in Astronomy, 2018:4969503, 31 pp., 2018; M. G. Dainotti, R. Del Vecchio & M. Tarnopolski (ADS)
Correlation between the Hurst exponent and the maximal Lyapunov exponent: Examining some low-dimensional conservative maps / (.pdf), Physica A, 490, 834, 11 pp., 2018 (ADS)
Testing the anisotropy in the angular distribution of Fermi/GBM gamma-ray bursts / (.pdf), Monthly Notices of the Royal Astronomical Society, 472(4), 4819, 13 pp., 2017 (ADS)
Rotation of an oblate satellite: Chaos control / (.pdf), Astronomy and Astrophysics, 606, A43, 9 pp., 2017 (ADS)
Influence of a second satellite on the rotational dynamics of an oblate moon / (.pdf), Celestial Mechanics and Dynamical Astronomy, 127(2), 121, 18 pp., 2017 (Open Access) (ADS)
On the relationship between the Hurst exponent, the ratio of the mean square successive difference to the variance, and the number of turning points / (.pdf), Physica A, 461, 662, 12 pp., 2016 (ADS)
Analysis of gamma-ray burst duration distribution using mixtures of skewed distributions / (.pdf), Monthly Notices of the Royal Astronomical Society, 458(2), 2024, 8 pp., 2016 (ADS)
Analysis of the observed and intrinsic durations of gamma-ray bursts with known redshift / (.pdf), Astrophysics and Space Science, 361:125, 13 pp., 2016 (Open Access) (ADS)
Analysis of the observed and intrinsic durations of Swift/BAT gamma-ray bursts / (.pdf), New Astronomy, 46, 54, 6 pp., 2016 (ADS)
Erratum: Distinguishing short and long Fermi gamma-ray bursts, Monthly Notices of the Royal Astronomical Society, 456(4), 4100, 1 p., 2016 (Open Access)
Distinguishing short and long Fermi gamma-ray bursts / (.pdf), Monthly Notices of the Royal Astronomical Society, 454(1), 1132, 8 pp., 2015 (ADS)
On the limit between short and long GRBs / (.pdf), Astrophysics and Space Science, 359:20, 5 pp., 2015 (Open Access) (ADS)
Analysis of Fermi gamma-ray burst duration distribution / (.pdf), Astronomy and Astrophysics, 581, A29, 6 pp., 2015 (Open Access) (ADS)
On Atwood's Machine with a Nonzero Mass String / (.pdf), The Physics Teacher, 53(8), 494, 3 pp., 2015 (ADS)
Nonlinear time-series analysis of Hyperion's lightcurves / (.pdf), Astrophysics and Space Science, 357:160, 12 pp., 2015 (Open Access) (ADS)
On the fractal dimension of the Duffing attractor / (.pdf), Romanian Reports in Physics, 66(3), 907, 11 pp., 2014 (Open Access) (ADS)

Under review/submitted:


Unpublished:
Modeling the price of Bitcoin with geometric fractional Brownian motion: a Monte Carlo approach (arXiv)


Selected presentations (.pdf):
Chaotic rotational dynamics of Hyperion
Nonlinear time series analysis of Hyperion’s lightcurves (...or why are butterflies evil beings)
Analysis of Fermi GRB T90 distribution (extended version)
Jeans instability criterion modified by external tidal field
IRS 13E: czy w centrum Galaktyki znajduje się druga czarna dziura?

Links:
Seminaria Wydziału Fizyki UJ
Seminaria OA UJ
Polska Akademia Umiejętności (PAU)
The Mathematica Journal