15 citations · 20 across the 7 of their papers we have counts for
9 papers
Visiting time statistics
Maxim Kirsebom, Philipp Kunde, Tomas Persson
Many mixing dynamical systems are known to satisfy the hitting time statistics result \[ \lim_{r \to 0} μ\{\, x : τ_{B(y,r)} (x) > t/μ(B(y,r))\,\} = e^{-t}, \] for -al…
Almost sure orbits closeness
Maxim Kirsebom, Philipp Kunde, Tomas Persson +1
We consider the minimal distance between orbits of measure preserving dynamical systems. In the spirit of dynamical shrinking target problems we identify distance rates for which a…
On an extreme value law for the unipotent flow on
Maxim Kirsebom, Keivan Mallahi-Karai
We study an extreme value distribution for the unipotent flow on the modular surface . Using tools from homogenous dynamics and…
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…
On shrinking targets and self-returning points
Maxim Kirsebom, Philipp Kunde, Tomas Persson
We consider the set of points returning infinitely many times to a sequence of shrinking targets around themselves. Under additional assumptions we improv…
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 distributions for one-parameter actions on homogeneous spaces
Maxim Sølund Kirsebom
In this paper we study extreme value distributions for one-parameter actions on homogeneous spaces of Lie groups. We study both shortest vectors in unimodular lattices, maximal dis…
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…