19 citations · 41 across the 8 of their papers we have counts for
6 papers
An effective version of the Oppenheim conjecture with a polynomial error rate
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang +1
We prove an effective version of the Oppenheim conjecture with a polynomial error rate. The proof is based on an effective equidistribution theorem which in turn relies on recent p…
Quantitative equidistribution and the local statistics of the spectrum of a flat torus
Elon Lindenstrauss, Amir Mohammadi, Zhiren Wang
We show that pair correlation function for the spectrum of a flat 2-dimensional torus satisfying an explicit Diophantine condition agrees with those of a Poisson process with a pol…
Smooth ergodic theory of -actions
Aaron Brown, Federico Rodriguez Hertz, Zhiren Wang
In the first part of this paper, we formulate a general setting in which to study the ergodic theory of differentiable -actions preserving a Borel probability measure…
Möbius disjointness for topological models of ergodic systems with discrete spectrum
Wen Huang, Zhiren Wang, Guohua Zhang
We provide a criterion for a point satisfying the required disjointness condition in Sarnak's Möbius Disjointness Conjecture. As a direct application, we have that the conjecture h…
Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds
Aaron Brown, Federico Rodriguez Hertz, Zhiren Wang
We consider smooth actions of lattices in higher-rank semisimple Lie groups on manifolds. We define two numbers and associated with the roots system of the Lie algebr…
Quantitative Density under Higher Rank Abelian Algebraic Toral Actions
Zhiren Wang
We generalize Bourgain-Lindenstrauss-Michel-Venkatesh's recent one-dimensional quantitative density result to abelian algebraic actions on higher dimensional tori. Up to finite ind…