2 citations · 3 across the 2 of their papers we have counts for
4 papers
Extreme Value Theory for Hurwitz Complex Continued Fractions
Maxim Kirsebom
The Hurwitz complex continued fraction is a generalization of the nearest integer continued fraction. In this paper we prove various results concerning extremes of the modulus of H…
Dichotomy results for eventually always hitting time statistics and almost sure growth of extremes
Mark Holland, Maxim Kirsebom, Philipp Kunde +1
Suppose is a measure preserving dynamical system and a measurable function. Consider the maximum process $M_n:=\max\{X_1 \l…
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…
Extreme value theory for random walks on homogeneous spaces
Maxim Sølund Kirsebom
In this paper we study extreme events for random walks on homogeneous spaces. We consider the following three cases. On the torus we study closest returns of a random walk to a fix…