Zhiren Wang

activity

20132017

most citedMöbius disjointness for non-uniquely ergodic skew products

26 citations · 31 across the 4 of their papers we have counts for

collaborators

4 papers

math.DS2017

Möbius Disjointness for Skew Products on the Heisenberg Nilmanifold

Matthew Litman, Zhiren Wang

We prove that the Möbius function is disjoint to all Lipschitz continuous skew product dynamical systems on the 3-dimensional Heisenberg nilmanifold over a minimal rotation of the…

math.DS2016★ 26 cited

Möbius disjointness for non-uniquely ergodic skew products

Zhiren Wang

For $τ > 2$ , let $T$ be a $C^{τ}$ skew product map of the form $(x + α, y + h (x))$ on $T^{2}$ over a rotation of the circle. We show that if $T$ preserves a measurable section, then i…

math.DS2015★ 5 cited

Möbius disjointness for analytic skew products

Zhiren Wang

We show that the Möbius function is disjoint to every analytic skew product dynamical system on the two-torus over a rotation of the circle.

math.DS2013

Multi-invariant measures and subsets on nilmanifolds

Zhiren Wang

Given a $Z^{r}$ -action $α$ on a nilmanifold $X$ by automorphisms and an ergodic $α$ -invariant probability measure $μ$ , we show that $μ$ is the uniform measure on $X$ , unless…