3 papers
math.DS2026
Minimal Oscillation of Cesà ro Averages Implies Non-Statisticality
Aliasghar Sarizadeh
We investigate the relationship between the global convergence of Cesà ro averages and the pointwise statistical behavior of dynamical systems. First, we prove that if the Cesà ro…
math.DS2026
Equicontinuity of the Hutchinson operator and sensitivity of
Aliasghar Sarizadeh
For an iterated function system of homeomorphisms on a compact metric space , write $ \mathcal{F}_-= \{ f_1^{-1}, \dots, f_k^{-1} \}…
math.DS2025
Attractors as a bridge from topological properties to long-term behavior in dynamical systems
Aliasghar Sarizadeh
This paper refined and introduced some notations (namely attractors, physical attractors, proper attractors, topologically exact and topologically mixing) within the context of rel…