Former Members

Łukasz Pawelec is working in two directions. One is the dynamics of

entire maps, where he currently studies the behaviour (topological and measure-theoretic) of hairs (and similar objects) for the exponential maps, see [1].

Also, he is interested in ergodic theory, mostly in the recurrence

properties and their applications, e.g. [2].

[1] Łukasz Pawelec, Anna Zdunik, Indecomposable continua in

exponential dynamics - Hausdorff dimension,

Topology and its Applications 178 (2014) 393–410.

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