Maxim Kirsebom

collaborators

Showing math.DSShow all

3 papers · 1 filter

math.DS2026

Visiting time statistics

Maxim Kirsebom, Philipp Kunde, Tomas Persson

Many mixing dynamical systems $(X, T, I^¼)$ are known to satisfy the hitting time statistics result \[ \lim_{r \to 0} Î¼\{\, x : Ï_{B(y,r)} (x) > t/Î¼(B(y,r))\,\} = e^{-t}, \] for $Î…

math.DS2025

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…

math.DS2024

On an extreme value law for the unipotent flow on $SL_{2} (R) / SL_{2} (Z)$

Maxim Kirsebom, Keivan Mallahi-Karai

We study an extreme value distribution for the unipotent flow on the modular surface $SL_{2} (R) / SL_{2} (Z)$ . Using tools from homogenous dynamics and…

Visiting time statistics

Almost sure orbits closeness

On an extreme value law for the unipotent flow on SL2​(R)/SL2​(Z)

On an extreme value law for the unipotent flow on $SL_{2} (R) / SL_{2} (Z)$