Kabluchko, Zakhar; Schlather, Martin - In: Stochastic Processes and their Applications 120 (2010) 3, pp. 281-295
We prove that a stationary max-infinitely divisible process is mixing (ergodic) iff its dependence function converges to 0 (is Cesàro summable to 0). These criteria are applied to some classes of max-infinitely divisible processes.