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My scientific interests:

I'm a physicist-mathematician working somewhere between statistical physics, dynamical systems, and combinatorics.
I'm interested in building bridges between these areas and using them to understand and model complex systems, especially networks.

Lately, I've also been spending more time at the intersection of statistical physics, machine learning, and data science.

More specifically, I,ve worked on (and keep coming back to):
  • Statistical physics, in particular:
    • Spin Models
    • Combinatorial Approaches to Statistical Physics
    • Phase Transitions
    • Connections to Machine Learning and Information Theory
  • Dynamical Systems
  • Mathematical Modeling and Interdisciplinary Physics:
    • Bibliometrics and Citation Networks
    • Agent-Based Modeling across disciplines
    • Complex Networks
    • Heavy-Tailed Data and their Rank-Size Distributions
  • Quantum Information (a newer direction I'm currently exploring)

What I enjoy most in Science is working with interesting and curious people. If you feel we might have something fun and/or worthwhile to explore together, feel free to reach out.

I'm very happy to collaborate beyond mathematics and physics. If you work in another field and have a system, dataset, or phenomenon that could benefit from a quantitative perspective, I'd be glad to get involved!
Think of me as a "mathematician for hire" for modeling and analysis.

For more details, see my publications and CV.
 

List of my publications:

The full list of my publications as a BibTeX file is available here, and if you are interested in a specific article, just click on it in the list below.
2025 1


28. M. Dudek, G. Siudem, G. Kwaśnik, W. Żołnowski, i M. Życzkowski, Optical fibre-based quantum random number generator: stochastic modelling and measurements, Scientific Reports, 15, 10849 (2025).

BIB: @article{Dudek2025,title={Optical fibre-based quantum random number generator: stochastic modelling and measurements}, author={Dudek, Micha{\l} and Siudem, Grzegorz and Kwa{\'s}nik, Grzegorz and {\.Z}o{\l}nowski, Wojciech and {\.Z}yczkowski, Marek T},journal={Scientific Reports}, volume={15},number={1},pages={10849},year={2025},publisher={Nature Publishing Group UK London}}

DOI: 10.1038/s41598-025-95414-y
2024 3


27. L. Bertoli-Barsotti, M. Gagolewski, G. Siudem, B. Żogała-Siudem, Equivalence of inequality indices in the three-dimensional model of informetric impact, Journal of Informetrics, 18, 101566 (2024). [arXiv:2304.07479]

BIB: @article{Bertoli-Barsotti20224.2,title = {Equivalence of inequality indices in the three-dimensional model of informetric impact}, journal = {Journal of Informetrics},volume = {18},number = {4},pages = {101566},year = {2024},issn = {1751-1577},doi = {https://doi.org/10.1016/j.joi.2024.101566}, url = {https://www.sciencedirect.com/science/article/pii/S1751157724000798}, author = {Lucio Bertoli-Barsotti and Marek Gagolewski and Grzegorz Siudem and Barbara Żogała-Siudem}, keywords = {Gini index, Bonferroni index, Power law, Rich-get-richer, Inequality, Sensitivity}}

DOI: 10.1016/j.joi.2024.101566
26. L. Bertoli-Barsotti, M. Gagolewski, G. Siudem, B. Żogała-Siudem, Gini-stable Lorenz curves and their relation to the generalised Pareto distribution, Journal of Informetrics, 18, 101499 (2024). [arXiv:2304.07480]

BIB: @article{Bertoli-Barsotti20224,title = {Gini-stable Lorenz curves and their relation to the generalised Pareto distribution}, journal = {Journal of Informetrics},volume = {18},number = {2},pages = {101499},year = {2024},issn = {1751-1577},doi = {https://doi.org/10.1016/j.joi.2024.101499}, url = {https://www.sciencedirect.com/science/article/pii/S1751157724000129}, author = {Lucio Bertoli-Barsotti and Marek Gagolewski and Grzegorz Siudem and Barbara Żogała-Siudem}, keywords = {Gini index, Lorenz ordering, Inequality, Generalised Pareto distributions, Information production process, Econometrics and scientometrics}}

DOI: 10.1016/j.joi.2024.101499
25. P. Nowak, M. Santolini, C. Singh, G. Siudem, L. Tupikina, Beyond Zipf's law: Exploring the discrete generalized beta distribution in open-source repositories, Physica A, 649, 129927 (2024). [preprint]

BIB: @article{Nowak2024,title={Beyond Zipf's law: Exploring the discrete generalized beta distribution in open-source repositories}, author={Nowak, Przemys{\l}aw and Santolini, Marc and Singh, Chakresh and Siudem, Grzegorz and Tupikina, Liubov}, journal={Physica A: Statistical Mechanics and its Applications},volume={649},pages={129927},year={2024},publisher={Elsevier}}

DOI: 10.1016/j.physa.2024.129927
2023 2


24. G. Siudem, G. Świątek, Coefficients of the Riemann map for the Mandelbrot set complement, Discrete and Continuous Dynamical Systems, 43, 12 (2023).

BIB: @article{siudem2023coefficients,title={Coefficients of the Riemann map for the Mandelbrot set complement},author={Siudem, Grzegorz and {\'S}wi{\k{a}}tek, Grzegorz}, journal={Discrete and Continuous Dynamical Systems},volume={43},number={12},pages={4393--4402},year={2023},publisher={Discrete and Continuous Dynamical Systems}}

DOI: 10.3934/dcds.2023091
23. B. Zogala-Siudem, A. Cena, G. Siudem, M. Gagolewski, Interpretable reparameterisations of citation models, Journal of Informetrics, 17, 101355 (2023). [preprint]

BIB: @article{Zgoala-Siudem2023,title = {Interpretable reparameterisations of citation models},journal = {Journal of Informetrics},volume = {17},number = {1}, pages = {101355},year = {2023},issn = {1751-1577},doi = {https://doi.org/10.1016/j.joi.2022.101355}, url = {https://www.sciencedirect.com/science/article/pii/S1751157722001080},author = {Barbara Żogała-Siudem and Anna Cena and Grzegorz Siudem and Marek Gagolewski}, keywords = {Science of science, Bibliometric indices, Informetrics, Citation models, Interpretability}}

DOI: 10.1016/j.joi.2022.101355
2022 7


22. A. Cena, M. Gagolewski, G. Siudem, B. Żogała-Siudem, Validating citation models by proxy indices, Journal of Informetrics, 16, 101267 (2022). [preprint]

BIB: @article{Cena2022,title = {Validating citation models by proxy indices},journal = {Journal of Informetrics},volume = {16},number = {2},pages = {101267}, year = {2022},issn = {1751-1577},doi = {https://doi.org/10.1016/j.joi.2022.101267},url = {https://www.sciencedirect.com/science/article/pii/S1751157722000190}, author = {Anna Cena and Marek Gagolewski and Grzegorz Siudem and Barbara Żogała-Siudem}, keywords = {Science of science, Bibliometric indices, Scientometrics, Citation models, Power law}}

DOI: 10.1016/j.joi.2022.101267
21. M. M. Dekker, A. N. Medvedev, J. Rombouts, G. Siudem, L. Tupikina, Modelling railway delay propagation as diffusion-like spreading, EPJ Data Science, 11, 44 (2022).

BIB: @article{Dekker2022,title={Modelling railway delay propagation as diffusion-like spreading}, author={Dekker, Mark M and Medvedev, Alexey N and Rombouts, Jan and Siudem, Grzegorz and Tupikina, Liubov},journal={EPJ Data Science},volume={11},number={1}, pages={44},year={2022},publisher={Springer Berlin Heidelberg}}

DOI: 10.1140/epjds/s13688-022-00359-1
20. M. Gagolewski, B. Żogała-Siudem, G. Siudem, A. Cena, Fairness in the three-dimensional model for citation impact, Scientometrics, 127, 6055 (2022).

BIB: @article{Gagolewski2022.2,title={Fairness in the three-dimensional model for citation impact}, author={Gagolewski, Marek and {\.Z}oga{\l}a-Siudem, Barbara and Siudem, Grzegorz and Cena, Anna},journal={Scientometrics},volume={127},number={10},pages={6055--6059}, year={2022},publisher={Springer}}

DOI: 10.1007/s11192-022-04497-1
19. M. Gagolewski, B. Żogała-Siudem, G. Siudem, A. Cena, Ockham's index of citation impact, Scientometrics, 127, 2829 (2022).

BIB: @article{Gagolewski2022,title={Ockham,s index of citation impact}, author={Gagolewski, Marek and {\.Z}oga{\l}a-Siudem, Barbara and Siudem, Grzegorz and Cena, Anna},journal={Scientometrics},volume={127},number={5},pages={2829--2845}, year={2022},publisher={Springer}}

DOI: 10.1007/s11192-022-04345-2
18. A. Geras, G. Siudem, M. Gagolewski, Time to vote: Temporal clustering of user activity on Stack Overflow, Journal of the Association for Information Science and Technology, 73, 1681 (2022). [preprint]

BIB: @article{Geras2022,author = {Geras, Agnieszka and Siudem, Grzegorz and Gagolewski, Marek}, title = {Time to vote: Temporal clustering of user activity on Stack Overflow},journal = {Journal of the Association for Information Science and Technology}, volume = {73},number = {12},pages = {1681-1691},doi = {https://doi.org/10.1002/asi.24658},url = {https://asistdl.onlinelibrary.wiley.com/doi/abs/10.1002/asi.24658}, eprint = {https://asistdl.onlinelibrary.wiley.com/doi/pdf/10.1002/asi.24658},year = {2022}}

DOI: 10.1002/asi.24658
17. M. Mrowiński, M. Gagolewski, G. Siudem, Accidentality in journal citation patterns, Journal of Informetrics, 16, 1751 (2022). [preprint]

BIB: @article{Mrowinski2022,title = {Accidentality in journal citation patterns},journal = {Journal of Informetrics},volume = {16},number = {4}, pages = {101341},year = {2022},issn = {1751-1577},doi = {https://doi.org/10.1016/j.joi.2022.101341}, url = {https://www.sciencedirect.com/science/article/pii/S1751157722000931},author = {Maciej J. Mrowinski and Marek Gagolewski and Grzegorz Siudem}, keywords = {Complex networks, DBLP, CORE, Rich get richer, Pareto principle}}

DOI: 10.1016/j.joi.2022.101341
16. G. Siudem, P. Nowak, M. Gagolewski, Power laws, the Price model, and the Pareto type-2 distribution, Physica A, 606, 128059 (2022). [arXiv:2201.11456]

BIB: @article{Siudem2022,title = {Power laws, the Price model, and the Pareto type-2 distribution}, journal = {Physica A: Statistical Mechanics and its Applications},volume = {606},pages = {128059},year = {2022},issn = {0378-4371}, doi = {https://doi.org/10.1016/j.physa.2022.128059},url = {https://www.sciencedirect.com/science/article/pii/S0378437122006604}, author = {Grzegorz Siudem and Przemysław Nowak and Marek Gagolewski}, keywords = {Price model, Pareto distribution, Power laws, Rich get richer, Complex networks, Citations}}

DOI: 10.1016/j.physa.2022.128059
2020 5


15. G. Siudem, B. Żogała-Siudem, A. Cena, M. Gagolewski, Three dimensions of scientific impact, PNAS, 202001064 (2020).

BIB: @article{Siudem2020,author = {Siudem, Grzegorz and {\.Z}oga{\l}a-Siudem, Barbara and Cena, Anna and Gagolewski,Marek}, title = {Three dimensions of scientific impact},volume = {117},number = {25},pages = {13896--13900},year = {2020},doi = {10.1073/pnas.2001064117}, publisher = {National Academy of Sciences},issn = {0027-8424},URL = {https://www.pnas.org/content/117/25/13896}, eprint = {https://www.pnas.org/content/117/25/13896.full.pdf},journal = {Proceedings of the National Academy of Sciences}}

DOI: 10.1073/pnas.2001064117
14. M. Bigus-Kwiatkowska, A. Fronczak, P. Fronczak, G. Siudem, M. Thelwall, Scaling of fluctuations in internet - The state states perspective, Acta Physica Polonica A, 138, 1 (2020).

BIB: @article{Bigus-Kwiatkowska2020,title={Scaling of fluctuations in internet-The state states perspective}, author={Bigus-Kwiatkowska, Marta and Fronczak, Agata and Fronczak, Piotr and Siudem, Grzegorz and Thelwall, Mike},journal={Acta Physica Polonica A},volume={138}, number={1},year={2020}}

DOI: 10.12693/APHYSPOLA.138.14
13. M. Petelczyc, J.J. Gierałtowski, B. Żogała-Siudem, G. Siudem, Impact of observational error on heart rate variability analysis, Heliyon, 6, E03984 (2020).

BIB: @article{Petelczyc2020,title={Impact of observational error on heart rate variability analysis}, author={Petelczyc, Monika and Giera{\l}towski, Jan Jakub and {\.Z}oga{\l}a-Siudem, Barbara and Siudem, Grzegorz},journal={Heliyon},volume={6},number={5},year={2020}, publisher={Elsevier}}

DOI: 10.1016/j.heliyon.2020.e03984
12. A. Fronczak, P. Fronczak, G. Siudem, Partial equivalence of statistical ensembles in a simple spin model with discontinuous phase transitions, Physical Review E, 101, 022111 (2020). [arXiv:1911.00287]

BIB: @article{Fronczak2020,title = {Partial equivalence of statistical ensembles in a simple spin model with discontinuous phase transitions}, author = {Fronczak, Agata and Fronczak, Piotr and Siudem, Grzegorz},journal = {Phys. Rev. E},volume = {101},issue = {2},pages = {022111},numpages = {7}, year = {2020},month = {Feb},publisher = {American Physical Society},doi = {10.1103/PhysRevE.101.022111},url = {https://link.aps.org/doi/10.1103/PhysRevE.101.022111}}

DOI: 10.1103/PhysRevE.101.022111
11. A. Geras, G. Siudem, M. Gagolewski, Should we introduce a dislike button for academic articles?, Journal of the Association for Information Science and Technology, 71, 221 (2020). [preprint]

BIB: @article{Geras20,author = {Geras, Agnieszka and Siudem, Grzegorz and Gagolewski, Marek}, title = {Should we introduce a dislike button for academic articles?},journal = {Journal of the Association for Information Science and Technology},volume = {71}, number = {2},pages = {221-229},doi = {https://doi.org/10.1002/asi.24231},url = {https://asistdl.onlinelibrary.wiley.com/doi/abs/10.1002/asi.24231}, eprint = {https://asistdl.onlinelibrary.wiley.com/doi/pdf/10.1002/asi.24231},year = {2020}}

DOI: 10.1002/asi.24231
2019 1


10. G. Siudem, J.A. Hołyst, Diffusion on hierarchical systems of weakly-coupled networks, Physica A, 513, 675 (2019). [arXiv:1303.2650]

BIB: @article{Siudem2019,title = {Diffusion on hierarchical systems of weakly-coupled networks}, journal = {Physica A: Statistical Mechanics and its Applications},volume = {513},pages = {675-686},year = {2019},issn = {0378-4371}, doi = {https://doi.org/10.1016/j.physa.2018.08.078},url = {https://www.sciencedirect.com/science/article/pii/S0378437118310203}, author = {Grzegorz Siudem and Janusz A. Hołyst},keywords = {Complex networks, Hierarchical systems, Diffusion dynamics}}

DOI: 10.1016/j.physa.2018.08.078
2018 1


9. A. Krawiecki, T. Gradowski, G. Siudem, Majority Vote Model on Multiplex Networks, Acta Physica Polonica A, 133, 1433 (2018).

BIB: @article{Krawiecki2018,title={Majority vote model on multiplex networks},author={Krawiecki, Andrzej and Gradowski, Tomasz and Siudem, Grzegorz}, journal={Acta Physica Polonica A},volume={133},number={6},pages={1433--1440},year={2018},publisher={Polska Akademia Nauk. Instytut Fizyki PAN}}

DOI: 10.12693/APhysPolA.133.1433
2017 2


8. N. Haug, T. Prellberg, G. Siudem, Area-width scaling in generalised Motzkin paths, Physica A, 482, 611 (2017). [arXiv:1605.09643]

BIB: @article{Haug2017,title = {Area-width scaling in generalised Motzkin paths},journal = {Physica A: Statistical Mechanics and its Applications}, volume = {482},pages = {611-620},year = {2017},issn = {0378-4371},doi = {https://doi.org/10.1016/j.physa.2017.04.151}, url = {https://www.sciencedirect.com/science/article/pii/S0378437117304612},author = {Nils Haug and Thomas Prellberg and Grzegorz Siudem}, keywords = {Exact solutions, Scaling functions, Basic hypergeometric series, Schroeder paths, Saddle point method, Dominant balance}}

DOI: 10.1016/j.physa.2017.04.151
7. G. Siudem, G. Świątek, Diagonal stationary points of the Bethe functional, Discrete and Continuous Dynamical Systems - Series A, 37, 2717 (2017).

BIB: @article{Siudem2017,title = {Diagonal stationary points of the bethe functional},journal = {Discrete and Continuous Dynamical Systems}, volume = {37},number = {5},pages = {2717-2743}year = {2017},issn = {1078-0947},doi = {10.3934/dcds.2017117}, url = {https://www.aimsciences.org/article/id/7fb75fb9-acfc-4fe3-af9f-74501611e936},author = {Grzegorz Siudem and Grzegorz Świątek}, keywords = {Bethe approximation, Ising model, message passing algorithms}}

DOI: 10.3934/dcds.2017117
2016 2


6. G. Siudem, A. Fronczak, P. Fronczak, Exact low-temperature series expansion for the partition function of the zero-field Ising model on the infinite square lattice on the infinite square lattice, Scientific Reports, 6, 33523 (2016). [arXiv:1410.7963]

BIB: @article{Siudem2016, title={Exact low-temperature series expansion for the partition function of the zero-field Ising model on the infinite square lattice}, author={Siudem, Grzegorz and Fronczak, Agata and Fronczak, Piotr},journal={Scientific reports},volume={6},number={1},pages={33523},year={2016}, publisher={Nature Publishing Group UK London}}

DOI: 10.1038/srep33523
5. B. Żogała-Siudem, G. Siudem, A. Cena, M. Gagolewski, Agent-based model for the h-index - Exact solution, The European Physical Journal B, 89, 21 (2016). [EPJB Highlight]

BIB: @article{Zogala-Siudem2016,title={Agent-based model for the h-index--exact solution}, author={{\.Z}oga{\l}a-Siudem, Barbara and Siudem, Grzegorz and Cena, Anna and Gagolewski, Marek},journal={The European Physical Journal B},volume={89},number={1}, pages={21},year={2016},publisher={Springer}}

DOI: 10.1140/epjb/e2015-60757-1
2015 1


4. G. Siudem, G. Świątek, Dynamics of the Belief Propagation for the Ising Model, Acta Physica Polonica A, 127, 3A-145 (2015).

BIB: @article{Siudem2015,title={Dynamics of the belief propagation for the ising model},author={Siudem, Grzegorz and {\'S}wi{\k{a}}tek, Grzegorz}, journal={Acta Physica Polonica A},volume={127},number={3A},year={2015},publisher={Polska Akademia Nauk. Instytut Fizyki PAN}}

DOI: 10.12693/APhysPolA.127.A-145
2013 1


3. G. Siudem, Partition function of the model of perfect gas of clusters for interacting fluids, Reports on Mathematical Physics, 72, 85 (2013).

BIB: @article{Siudem2013,title={Partition function of the model of perfect gas of clusters for interacting fluids},author={Siudem, Grzegorz}, journal={Reports on Mathematical Physics},volume={72},number={1},pages={85--92},year={2013},publisher={Elsevier}}

DOI: 10.1016/S0034-4877(14)60006-9
2012 1


2. P. Kondratium, G. Siudem, J.A. Hołyst, Analytical approach to the model of scientific revolutions, Physical Review E, 85, 066126 (2012). [arXiv:1008.3911]

BIB: @article{Kondratiuk12,title = {Analytical approach to the model of scientific revolutions}, author = {Kondratiuk, Pawe\l{} and Siudem, Grzegorz and Ho\l{}yst, Janusz A.},journal = {Phys. Rev. E},volume = {85},issue = {6},pages = {066126},numpages = {11}, year = {2012},month = {Jun},publisher = {American Physical Society},doi = {10.1103/PhysRevE.85.066126},url = {https://link.aps.org/doi/10.1103/PhysRevE.85.066126}}

DOI: 10.1103/PhysRevE.85.066126
2010 1


1. J. Sienkiewicz, G. Siudem, J.A. Hołyst, External bias in the model of isolation of communities, Physical Review E, 82, 057101 (2010). [arXiv:1106.0438]

BIB: @article{Sienkiewicz2010,title = {External bias in the model of isolation of communities}, author = {Sienkiewicz, Julian and Siudem, Grzegorz and Ho\l{}yst, Janusz A.},journal = {Phys. Rev. E},volume = {82},issue = {5},pages = {057101},numpages = {4}, year = {2010},month = {Nov},publisher = {American Physical Society},doi = {10.1103/PhysRevE.82.057101}, url = {https://link.aps.org/doi/10.1103/PhysRevE.82.057101}}

DOI: 10.1103/PhysRevE.82.057101
 

I am an organiser and a proud member of the following semminars:

MADAM Seminar logo
MADAM: Methods for Analysis of Data - Algorithms and Modeling
SFINKS Symposium logo
SFINKS: Sympozjum Fizyki Interdyscyplinarnej w Naukach eKonomicznych i Społecznych
 

Sounds interesting? Feel free to click the link and join us!