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math.DS2026
Dimension of the accumulation set of any hair for the exponential map
Joanna Horbaczewska, Radosław Opoka, Łukasz Pawelec
We study the dynamics of the exponential map on the complex plane. The set of all points sharing a given itinerary is non-empty if and only if $\mathb…
math.DS2022
Estimating Hausdorff measure for Denjoy maps
Łukasz Pawelec, Mariusz Urbański
By employing the recurrence method worked out in `Estimating the Hausdorff measure by recurrence', we provide effective lower estimates of the proper--dimensional Hausdorff measure…
math.DS2018
Long hitting times for expanding systems
Łukasz Pawelec, Mariusz Urbański
We prove a new result in the area of hitting time statistics. Currently, there is a lot of papers showing that the first entry times into cylinders or balls are often faster than t…