2019/07/05 by Pramod Kumar Das, Das, Pramod Kumar, Tarun Das +1
Economics, Econometrics and Finance · Mathematics · #37B05 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Stochastic processes and financial applications #advanced mathematical theories
paper · pdf · doi:10.48550/arxiv.1907.02913
openalex publication_date 2019/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce and study a new variant of shadowing namely mean ergodic shadowing. We establish relationship of this variant with several other variants of shadowing. We show that a minimal system with shadowing cannot have mean ergodic shadowing. We give a necessary and sufficient condition for an orbital limit function to have mean ergodic shadowing property.