Averages along cubes for not necessarily commuting measure preserving transformations
Idris Assani
Abstract
We study the pointwise convergence of some weighted averages linked to averages along cubes. We show that if (X,B,μ, Ti) are not necessarily commuting measure preserving systems on the same finite measure space and if fi, 1≤ i≤ 6 are bounded functions then the averages 1N3Σn, m, p=1N f1(T1nx) f2(T2mx) f3(T3px) f4(T4n+mx) f5(T5n+px) f6(T6m+px) converge almost everywhere.
Create a lesson
Related papers
A blueprint for the formalization of norm-variation of multiple ergodic averages for commuting transformations
Floris van Doorn, Polona Durcik, Joris Roos et al.
On some aspects of discrete groups acting ergodically on the boundary
Subhadip Dey, Mikołaj Frączyk, Sebastian Hurtado
A Structural Theory of Admissible Transitions in Biological Reaction Networks
Stephan Peter, Bashar Ibrahim
Sequential and distributive dual futile cycle: Hopf bifurcation can occur under parameter-rich kinetics but cannot occur under mass action kinetics
Nicola Vassena
Rigidity on the two-torus and Sarnak's conjecture
Yinshan Chang, Jian Wang, Junchang Zhou
Linear response for random systems with a cusp
Davrbek Oltiboev, Karim Rakhimov, Marks Ruziboev