Uniwersytet Wroc³awski EN PL

ORCiD profile: Pawel Lorek ORCiD iD https://orcid.org/0000-0003-2894-2799

[24] Lorek, P., Markowski, P. Absorption time and absorption probabilities for a family of multidimensional gambler models. Latin American Journal of Probability and Mathematical Statistics, 19, 125--150, 2022, DOI:10.30757/ALEA.v19-06
[23] Lorek, P., Markowski, P. Conditional gambler's ruin problem with arbitrary winning and losing probabilities with applications. (submitted), 2022, .pdf
[22] Lorek, P., Los, G., Gotfryd, K., Zagorski, F. On testing pseudorandom generators via statistical tests based on arcsine law. Journal of Computational and Applied Mathematics, Vol. 380, 112968, 2020. DOI:10.1016/j.cam.2020.112968 .pdf
[21] Lorek, P. Antiduality and Mobius monotonicity: Generalized Coupon Collector Problem. ESAIM: Probability and Statistics, 23, 739--769, 2019. DOI:10.1051/ps/2019004 (Open Access)
[20] Lorek, P., Zagorski, F., and Kulis, M. Strong stationary times and its use in cryptography. IEEE Transactions on Dependable and Secure Computing 16(5), 805--818, 2019. DOI:10.1109/TDSC.2017.2751475, .pdf
[19] Lorek, P. Siegmund duality for Markov chains on partially ordered state spaces. Probability in the Engineering and Informational Sciences, 32, 495--521, 2018. DOI:10.1017/S0269964817000341, .pdf
[18] Gotfryd, K., Lorek, P., Zagorski, F. RiffleScrambler a memory-hard password storing function with higher immunity to parallel-attacks. In: Lopez J., Zhou J., Soriano M. (eds) Computer Security. ESORICS 2018. LNCS, vol 11099, Springer, Cham. 2018. DOI: 10.1007/978-3-319-98989-1_16, available at arXiv:1807.06443
[17] Kulis, M., Lorek, P., and Zagorski, F. Randomized Stopping Times and Provably Secure Pseudorandom Permutation Generators In Phan RW., Yung, M. (eds) Paradigms in Cryptology - Mycrypt 2016. Malicious and Exploratory Cryptology. Lecture Notes in Computer Science, vol. 10311. Springer, 145--167, 2017. DOI:10.1007/978-3-319-61273-7_8, available at https://eprint.iacr.org/2016/1049 (Cryptology ePrint Archive)
[16] Lorek, P., Generalized Gambler's ruin problem: explicit formulas via duality. Methodology and Computing in Applied Probability, 19 (2), 603--613, 2017, DOI: 10.1007/s11009-016-9507-6 (Open Access) .pdf
[15] Lorek, P., Kulis, M., Zagorski, F. Leakage-Resilient Riffle Shuffle. MACIS 2017: Mathematical Aspects of Computer and Information Sciences, LCNS, vol 10693, 395--408, 2017. .pdf
[14] Lorek, P., Markowski, P. Monotonicity requirements for efficient exact sampling with Markov chains. Markov Processes and Related Field, 23, 485--514, 2017, .pdf. See page http://www.math.uni.wroc.pl/~lorek/algorithms/ for software for checking various monotonicities in Markov chains.
[13] Lorek, P., Slowik, M., Zagorski, F. Statistical Testing of PRNG: Generalized Gambler's Ruin Problem. MACIS 2017: Mathematical Aspects of Computer and Information Sciences, LCNS, vol 10693, 425--437, 2017. .pdf
[12] Lorek, P., Szekli, R. Strong Stationary Duality for Mobius monotone Markov chains: examples. Probability and Mathematical Statistics, 36 (1) , 75--97, 2016, .pdf
[11] Lorek, P., Szekli, R. Computable bounds on the spectral gap for unreliable Jackson networks. Advances in Applied Probability, 47, 402--424, 2015, .pdf.
[10] Lorek, P., Kulik, R. Empirical process of residuals for long memory regression models. Statistics & Probability Letters, 86 C, 7--16, 2014, 10.1016/j.spl.2013.11.018
[9] 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 Biomedical and Health Informatics, 17(4), 862--869, 2013 (J-BHI link) .
[8] Lorek, P. Strong Stationary Duality for Mobius Monotone Markov Chains: Application to DNA sequence alignment (in perparation, 2012)
[7] Lorek, P., Szekli R. Strong stationary duality for Mobius monotone Markov chains. Queueing Systems, 71, 79--95, 2012 (.pdf, Springer link (open access))
[6] Kulik, R., Lorek, P. Some results on random design regression with long memory errors and predictors. Journal of Statistical Planning and Inference, 141, 508--523, 2011. (.pdf, arXiv:1102.4372 [math.ST])
[5] Lorek, P., Szekli R. Some properties of passage times for non-symmetric random walks via monotonicity. (in preparation, 2010)
[4] Lorek, P., Wichelhaus, C. The exact asymptotic for the stationary distribution of queueing systems with inventory management. (in preparation), 2010)
[3] Lorek, P. The exact asymptotic for the stationary distribution of some unreliable systems. (submitted to Stochastic Models, 2009) (.pdf, arXiv:1102.4707)
[2] Lorek, P. Speed of convergence for stochastically monotone Markov chains (Phd thesis, 2007) (.pdf)
[1] Dynia, M., Kutylowski, J., Lorek, P., Meyer auf der Heide, F. Communication Between an Explorer and a Base Station. IFIP 19th World ComputerCongress TC10: 1st IFIP International Conference on Biologically Inspired Computing, 1, 137-146, 2006. (.pdf)

  Last modification: 05.01.2022