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

For students

Research interests:
gamma-ray bursts (statistical analyses)
time series analysis (self-affinity)
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)
high energy astrophysics
⚫ 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."


Graph-based clustering of gamma-ray bursts, A&A accepted, 2021 (arXiv)
How does the shape of gamma-ray bursts' pulses affect the duration distribution? / (.pdf), Monthly Notices of the Royal Astronomical Society, 507(1), 1450, 8 pp., 2021, (ADS)
A Comprehensive Power Spectral Density Analysis of Astronomical Time Series. II. The Swift/BAT Long Gamma-Ray Bursts / (.pdf), Astrophysical Journal, 911, 20, 17 pp., 2021; M. Tarnopolski & V. Marchenko (ADS)
Searching for signatures of chaos in γ-ray light curves of selected Fermi-LAT blazars / (.pdf), Monthly Notices of the Royal Astronomical Society, 502(2), 2750, 7 pp., 2021; O. Ostapenko, M. Tarnopolski, N. Żywucka & J. Pascual-Granado (ADS)
A Comprehensive Power Spectral Density Analysis of Astronomical Time Series. I. The Fermi-LAT Gamma-Ray Light Curves of Selected Blazars / (.pdf), Astrophysical Journal Supplement Series, 250, 1, 45 pp., 2020; M. Tarnopolski, N. Żywucka, V. Marchenko & J. Pascual-Granado (ADS)
Can the Cosmological Dilation Explain the Skewness in the Gamma-Ray Burst Duration Distribution? / (.pdf), Astrophysical Journal, 897, 77, 7 pp., 2020 (ADS)
Optical Variability Modeling of Newly Identified Blazar Candidates behind Magellanic Clouds / (.pdf), Astrophysical Journal, 888, 107, 18 pp., 2020; N. Żywucka, M. Tarnopolski, M. Böttcher, Ł. Stawarz & V. Marchenko (ADS)
Analytical representation of Gaussian processes in the A–T plane / (.pdf), Physical Review E, 100, 062144, 12 pp., 2019 (ADS)
Multivariate Analysis of BATSE Gamma-Ray Burst Properties Using Skewed Distributions / (.pdf), Astrophysical Journal, 887, 97, 9 pp., 2019 (ADS)
Analysis of the Duration–Hardness Ratio Plane of Gamma-Ray Bursts Using Skewed Distributions / (.pdf), Astrophysical Journal, 870, 105, 9 pp., 2019 (Open Access) (ADS)
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)
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)

Conference proceedings:
Periodicity Analysis of Mrk 501 and Mrk 421 in Gamma Rays / (.pdf), Proceedings of the 37th International Cosmic Rays Conference (ICRC2021), Berlin (Germany), 12-23 July 2021; Proceedings of Science, 395, 879, 8 pp., 2021; R. Iotov et al.
Optical variability modelling of newly identified blazar candidates behind Magellanic Clouds / (.pdf), Proceedings of High Energy Phenomena in Relativistic Outflows VII (HEPRO VII), Barcelona (Spain), 9-12 July 2019; Proceedings of Science, 354, 026, 8 pp., 2020; N. Żywucka, M. Tarnopolski, M. Böttcher, Ł. Stawarz & V. Marchenko (ADS)
Analysis of the duration–hardness ratio plane of gamma-ray burst with skewed distributions / (.pdf), Proceedings of the 12th INTEGRAL conference, Geneva (Switzerland), 11-15 February 2019; Memorie della Societa Astronomica Italiana, 90(1-2), 45, 4 pp., 2019

Under review/submitted:

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?

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