I. Assani

most citedPointwise convergence along cubes for measure preserving systems

6 citations · 14 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2003★ 6 cited

Pointwise convergence along cubes for measure preserving systems

Idris Assani

Let $(X, B, μ)$ be a probability measure space and $T_{1}$ , $T_{2}$ , $T_{3}$ three not necessarily commuting measure preserving transformations on $(X, B, μ)$ . We pro…

math.DS2003★ 2 cited

An $L^{1}$ counting problem in ergodic theory

Idris Assani, Zoltan Buczolich, Daniel Mauldin

We solve the following counting problem for measure preserving transformations. For $f \in L_{+}^{1} (μ)$ , is it true that $\ds \sup_n\frac{\bN_n(f)(x)}{n} <\infty,$ where $$\ds\bN_n(f)(…

math.DS2003★ 6 cited

Pointwise convergence of averages along cubes

Idris Assani

Let $(X, B, μ, T)$ be a measure preserving system. We prove the pointwise convergence of the averages $\frac{1}{N ^{2}} n, m = 0 \sum N - 1 f_{1} (T^{n} x) f_{2} (T^{m} x) f_{3} (T^{n + m} x)$ a…

Pointwise convergence along cubes for measure preserving systems

An L1 counting problem in ergodic theory

Pointwise convergence of averages along cubes

An $L^{1}$ counting problem in ergodic theory