Orbit decomposition statistics for discrete dynamical systems: the Cesàro mean and a large deviation principle

Gunther Cornelissen, Sun Woo Park

If a self-map $\sigma :\mathcal{X}\to \mathcal{X}$ has a dynamical zeta function with nonzero radius of convergence $1/\Lambda$ and the Cesàro mean $B$ of $ \# \mathrm{Fix}(σ^k)…