Publications

2025

  • Lorek, P., Conditional Gambler’s Ruin Problem with Arbitrary Winning and Losing Probabilities with Applications, Methodology and Computing in Applied Probability, vol 27 (54), 2025. [doi]
  • Book cover Lorek, P., Rolski, T., Lectures on Monte Carlo Theory, Springer, Probability Theory and Stochastic Modelling, 2025. [doi]

2024

  • Lorek, P., Yung, M., Zagórski, F., Mirrored Commitment: Fixing “Randomized Partial Checking” and Applications, Lecture Notes in Computer Science, vol. 14585, Springer, ACNS 2024. [doi]

2022

  • Lorek, P., Nowak, R., Trzciński, T., Zięba, M., FlowHMM: Flow-based continuous hidden Markov models, Advances in Neural Information Processing Systems, vol. 35, pp. 8773–8784, 2022. [pdf]
  • Lorek, P., Markowski, P., Absorption time and absorption probabilities for a family of multidimensional gambler models, ALEA‑Latin American Journal of Probability and Mathematical Statistics, vol. 19, pp. 125–150, 2022. [doi]

2020

  • Lorek, P., Łoś, G., Gotfryd, K., Zagórski, F., On testing pseudorandom generators via statistical tests based on the arcsine law, Journal of Computational and Applied Mathematics, vol. 380, 112968, 2020. [doi]

2019

  • Lorek, P., Zagórski, F., Kulis, M., Strong stationary times and its use in cryptography, IEEE Transactions on Dependable and Secure Computing, vol. 16, no. 5, pp. 805–818, 2019. [doi]
  • Lorek, P., Antiduality and Möbius monotonicity: generalized coupon collector problem, ESAIM: Probability and Statistics, vol. 23, pp. 739–769, 2019. [doi]

2018

  • Gotfryd, K., Lorek, P., Zagórski, F., RiffleScrambler – a memory-hard password storing function, in: 23rd European Symposium on Research in Computer Security (ESORICS 2018), Lecture Notes in Computer Science, vol. 11099, Springer, 2018. [doi]
  • Lorek, P., Siegmund duality for Markov chains on partially ordered state spaces, Probability in the Engineering and Informational Sciences, vol. 32, no. 4, pp. 495–521, 2018. [doi]

2017

  • Lorek, P., Generalized Gambler's Ruin Problem: Explicit Formulas via Siegmund Duality, Methodology and Computing in Applied Probability, vol. 19, pp. 603–613, 2017. [doi]
  • Lorek, P., Kulis, M., Zagórski, F., Leakage-resilient riffle shuffle, in: Mathematical Aspects of Computer and Information Sciences (MACIS 2017), Lecture Notes in Computer Science, vol. 10693, Springer, 2017. [doi]
  • Lorek, P., Słowik, M., Zagórski, F., Statistical testing of PRNG: generalized gambler's ruin problem, in: Mathematical Aspects of Computer and Information Sciences (MACIS 2017), Lecture Notes in Computer Science, vol. 10693, Springer, 2017. [doi]
  • Lorek, P., Markowski, P., Monotonicity Requirements for Efficient Exact Sampling with Markov Chains, Markov Processes And Related Fields, vol. 23, no. 3, pp. 485–514, 2017. [link]

2016

  • Kulis, M., Lorek, P., Zagórski, F., Randomized stopping times and provably secure pseudorandom permutation generators, in: Paradigms in Cryptology – Mycrypt 2016, Lecture Notes in Computer Science, vol. 10311, Springer, 2017. [doi]
  • Lorek, P., Szekli, R., Strong stationary duality for Möbius monotone Markov chains: examples, Probability and Mathematical Statistics, vol. 36, no. 1, pp. 75–97, 2016. [link]

2015

  • Lorek, P., Szekli, R., Computable bounds on the spectral gap for unreliable Jackson networks, Advances in Applied Probability, vol. 47, no. 2, pp. 402–424, 2015. [doi]

2014

  • Lorek, P., Kulik, R., Empirical process of residuals for regression models with long memory errors, Statistics and Probability Letters, vol. 88, pp. 25–32, 2014. [doi]

2013

  • Tarnawski, W., Kurtcuoglu, V., Lorek, P., Bodych, M., Rotter, J., Muszkieta, M., Piwowar, L., Poulikakos, D., Majkowski, M., Ferrari, A., A Robust Algorithm for Segmenting and Tracking Clustered Cells in Time-Lapse Fluorescent Microscopy, IEEE Journal of Biomedical and Health Informatics, 2013. [doi]

2012

  • Lorek, P., Szekli, R., Strong stationary duality for Möbius monotone Markov chains, Queueing Systems, vol. 71, no. 1–2, pp. 79–95, 2012. [doi]

2011

  • Kulik, R., Lorek, P., Some results on random design regression with long memory errors and predictors, Journal of Statistical Planning and Inference, vol. 141, no. 1, pp. 508–523, 2011. [doi]

2006

  • Dynia, M., Kutyłowski, J., Lorek, P., Maintaining communication between an explorer and a base station, IFIP International Federation for Information Processing, Springer, 2006. [doi]