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 varying even weight for any fixed congruence group and study the set of all of their zeros taken for a…
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…