Our research lies at the intersection of functional analysis, probability theory, and mathematical modelling. We focus in particular on operator theory, strongly continuous semigroups of operators, and their connections with stochastic processes and evolution equations.
Our interests include limit theorems, stochastic differential equations, Markov processes, and statistical methods. We develop and analyse mathematical models motivated by problems in biology, including genetics, as well as physics and engineering.
Adam Gregosiewicz — a.gregosiewicz@pollub.pl
Our group holds a weekly research seminar covering functional analysis, probability theory, stochastic processes, and their applications.
When: Every Thursday, 10:00–12:00
Where: Pentagon building, room PE 1
Banek, T., Batko, W., & Gregosiewicz, A. (2026). Risk assessment of noise-limit exceedance using Banach random walk in noisy space. Archives of Acoustics. Advance online publication.
Bobrowski, A., & Ratajczyk, E. (2026). A kinetic model approximation of Walsh’s spider process on the infinite star graph. Discrete and Continuous Dynamical Systems, 54, 526–544.
Bobrowski, A. (2026). Backward Feller–Dynkin propagators for time-inhomogeneous snapping-out Brownian motions. Journal of Evolution Equations, 26, Article 22.
Bobrowski, A., & Ratajczyk, E. (2026). From snapping-out Brownian motions to Walsh’s spider processes on star-like graphs. Documenta Mathematica, 31(6), 1311–1332.
Ledzewicz, U., Ratajczyk, E., & Schättler, H. (2026). An aggregated mathematical model for the progression of Alzheimer’s disease with treatment implications. Nonlinear Dynamics, 114, Article 596.
Nieznaj, E. (2026). The spectral Rrepresentation of a discrete version of Blackwell’s Markov chain. Entropy, 28(5), Article 547.
Ratajczyk, E. (2026). Cosine families, invariant subspaces, and boundary conditions for a class of diffusions on star graphs. Studia Mathematica, 289(1), 33–52.
Bobrowski, A., & Ratajczyk, E. (2025). Approximation of skew Brownian motion by snapping-out Brownian motions. Mathematische Nachrichten, 298(3), 829–848.
Bobrowski, A., Madzvamuse, A., & Ratajczyk, E. (2025). Existence and convergence of stochastic processes underlying a thin layer approximation of a coupled bulk-surface PDE. Journal of Differential Equations, 428, 113–158.
Gregosiewicz, A. (2025). Resolvent decomposition with applications to semigroups and cosine functions. Mathematische Annalen, 391(3), 4011–4035.
Gregosiewicz, A., Ratajczyk, E., & Stępień, Ł. (2025). Modeling and simulation of heterogeneous multiserver queues with impatient customers. Advances in Science and Technology Research Journal, 19(12), 464–477.
Komarzyniec, G., Stępień, Ł., & Łagodowski, Z. (2025). Coupled electromagnetic–thermal modeling of HTS transformer inrush current: Experimental validation and thermal analysis. Energies, 18(22), Article 5993.
Kopecki, G., & Łagodowski, Z. A. (2025). Complementary filter optimal tuning methodology for low-cost attitude and heading reference systems with statistical analysis of output signal. Applied Sciences, 15(8), Article 4114.
Nieznaj, E. (2025). A family of commuting contraction semigroups on l¹(ℕ) and l∞(ℕ). Open Mathematics, 23(1), Article 20250168.
Nieznaj, E. (2025). The stationary distribution for Blackwell’s Markov chain. Methodology and Computing in Applied Probability, 27, Article 71.
Our group organises and co-organises conferences and workshops in operator semigroups, stochastic processes, and mathematical biology.
K–L Conference on Semigroups of Operators in Biology and Stochastic Processes
Lublin, Poland, 21–23 May 2026.
Katowice–Lublin Seminar on Mathematical Biology
Katowice, Poland, 31 March–1 April 2022.
Projekt współfinansowany ze środków Unii Europejskiej w ramach Europejskiego Funduszu Społecznego, Program Operacyjny Wiedza Edukacja Rozwój 2014-2020 "PL2022 - Zintegrowany Program Rozwoju Politechniki Lubelskiej" POWR.03.05.00-00-Z036/17