Dr Łukasz Pawelec

My research lies in two directions. One is the dynamics of

entire maps, where I currently study the behaviour (topological and measure-theoretic) of itineraries for the exponential map.

The second area is the recurrence properties of general measure preserving maps, shrinking targets, etc.

Recent publications

[1] Łukasz Pawelec, Estimating the Hausdorff measure using recurrence, Proceedings of the Edinburgh Mathematical Society 67.1 (2024), 188-199

[2] Łukasz Pawelec, Mariusz Urbański, Estimating Hausdorff measure for Denjoy maps, Nonlinearity 36 (2023) 6224–6238.

[3] Łukasz Pawelec, Mariusz Urbański, Anna Zdunik, Thin annuli property and exponential distribution of return times for weakly Markov systems, Fundamenta Mathematicae 251 (2020), 269-316

Additional Information