• with A. Algom and F. Rodriguez Hertz, Polynomial Fourier decay and a cocycle version of Dolgopyat's method for self conformal measures

submitted [pdf] 

• with E. Lindenstrauss, A. Mohammadi and L. Yang, An effective version of the Oppenheim conjecture with a polynomial error rate

research announcement  [pdf]  

• with E. Lindenstrauss and A. Mohammadi, Quantitative equidistribution and the local statistics of the spectrum of a flat torus

submitted [pdf]  

• with E. Lindenstrauss and A. Mohammadi, Effective equidistribution for some one parameter unipotent flows

submitted [pdf]               announcement appeared in Comptes Rendus Math. (2023) [announcement]

• with Z. Li and Y. Wang, Fast equilibrium of SGD in generic situations

accepted, ICLR (Int. Conf. Learning Representations) (2024). [pdf]

• with W. Huang, J. Wang and Q. Zhou, Quantitative almost reducibility and Möbius disjointness for analytic quasiperiodic Schrödinger cocycles

accepted, Peking Journal of Mathematics [pdf]

• with A. Algom, Arbitrarily slow decay in the Möbius disjointness conjecture

accepted, Ergodic Th. & Dyn. Sys. [pdf]

• with F. Rodriguez Hertz, Non-rigidity of partially hyperbolic abelian C1-actions on tori

accepted, Ergodic Th. & Dyn. Sys. [pdf]

• with A. Brown and F. Rodriguez Hertz, Smooth ergodic theory of Zd-actions, Part 3: Product structure of entropy

Journal of Modern Dynamics (2023) [pdf]

• with A. Brown and F. Rodriguez Hertz, Invariant measures and measurable projective factors for actions of higher-rank lattices on manifolds

Annals of Math. (2022) [pdf]

• with Y. Wang, Three-stage evolution and fast equilibrium for SGD with non-degenerate critical points

ICML (Int. Conf. Machine Learning) (2022) [pdf]

• with A. Brown and F. Rodriguez Hertz, The normal subgroup theorem through measure rigidity (expository book chapter)

Dynamics, Geometry, Number Theory: The Impact of Margulis on Modern Mathematics (2022) [pdf]

• with A. Algom and F. Rodriguez Hertz, Logarithmic Fourier decay for self-conformal measures

Journal of London Math. Soc. (2022) [pdf]

• with A. Algom and F. Rodriguez Hertz, Pointwise normality and Fourier decay for self-conformal measures

Advances Math. (2021) [pdf]

• with X. He, Möbius disjointness along short intervals for nilsequences

Trans. Amer. Math. Soc. (2021) [pdf]

• with F. Rodriguez Hertz, On ε-escaping trajectories in homogeneous spaces

Disc. Cont. Dyn. Sys. 25 Years Special Vol. (2021) [pdf]

• with W. Huang and X. Ye, Measure complexity and Möbius disjointness

Advances Math. (2019) [pdf]

• with M. Litman, Möbius disjointness for skew products on the Heisenberg nilmanifold

Proc. Amer. Math. Soc. (2019) [pdf]

• with W. Huang and G. Zhang, Möbius disjointness for topological models of ergodic systems with discrete spectrum

Journal of Modern Dynamics (2019) [pdf]

• Multi-invariant measures and subsets on nilmanifolds

J. Analyse Math. (2018) [pdf]

• with A. Brown and F. Rodriguez Hertz, Global smooth and topological rigidity of hyperbolic lattice actions

Annals of Math. (2017) [pdf]

• Möbius disjointness for analytic skew products

Inventiones Math. (2017) [pdf]

• with F. Rodriguez Hertz, Global rigidity of higher rank Anosov algebraic actions

Inventiones Math. (2014) [pdf]

• with U. Shapira, Remarks on Euclidean minima

J. Number Theory (2012) [pdf]

• with E. Lindenstrauss, Topological self-joinings of Cartan actions by toral automorphisms

Duke Math. J. (2012) [pdf]

• Rigidity of commutative non-hyperbolic actions by toral automorphisms

Ergodic Th. & Dyn. Sys. (2012) [pdf]

• Quantitative density under higher rank abelian algebraic toral actions

Int. Math. Res. Notices (2011) [pdf]