3 papers
math.DS2026
Orbit decomposition statistics for discrete dynamical systems: the Cesàro mean and a large deviation principle
Gunther Cornelissen, Sun Woo Park
If a self-map has a dynamical zeta function with nonzero radius of convergence and the Cesàro mean of $ \# \mathrm{Fix}(σ^k)…
math.NT2025
Geodesic clustering of zeros of Eisenstein series for congruence groups
Sebastián Carrillo Santana, Gunther Cornelissen, Berend Ringeling
We consider a set of generators for the space of Eisenstein series of even weight for any congruence group and study the set of all of their zeros taken for -conjugat…
math.NT2025
The asymptotic Mahler measure of Gaussian periods
Gunther Cornelissen, David Hokken, Berend Ringeling
We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of the…