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math.CA2019
A mass transference principle and sets with large intersections
Tomas Persson
I prove a mass transference principle for general shapes, similar to a recent result by H. Koivusalo and M. Rams. The proof relies on Vitali's covering lemma and manipulations with…
math.DS2019
Shrinking targets and eventually always hitting points for interval maps
Maxim Kirsebom, Philipp Kunde, Tomas Persson
We study shrinking target problems and the set of eventually always hitting points. These are the points whose first iterates will never have empty in…