Shuhao Zhang

most citedIndependence and mean sensitivity in minimal systems under group actions

1 citations · 1 across the 7 of their papers we have counts for

collaborators

7 papers

math.DS2026

A three-dimensional corner configuration involving the Omega function

Zhuowen Guo, Rongzhong Xiao, Shuhao Zhang

Let $Ω (n)$ denote the number of prime factors of $n$ , counted with multiplicity. We prove that if $A \subset N^{3}$ has positive upper Banach density, then there are $(x,y,z)\…

math.CO2026

An affirmative answer to Owings's sumset question

Wen Huang, Zhengxing Lian, Song Shao +3

We give an affirmative answer to Owings's sumset question: for any $2$ -coloring of natural numbers, there is an infinite $B \subseteq N$ such that $B + B$ is monochromatic. Mo…

math.DS2026

Positive Rokhlin Entropy Implies Infinite $L^{1}$ -Orbit Multiplicity: A Negative Answer to Thouvenot's Question

Zongrui Hu, Leiye Xu, Shuhao Zhang

We prove that every free ergodic measure-preserving action of a countably infinite amenable group with positive Rokhlin entropy has infinite complex $L^{1}$ -orbit multiplicity, both…

q-bio.QM2026

All-Atom GPCR-Ligand Dynamics Simulation via a Residual Latent Flow Mode

Jiying Zhang, Shuhao Zhang, Pierre Vandergheynst +1

G-protein-coupled receptors (GPCRs), which are targeted by over one-third of approved drugs, undergo intricate conformational transitions to transduce signals. While Molecular Dyna…

math.DS2026

Fractal transference principles for subsets of $N^{d}$ of positive density

Zhuowen Guo, Kangbo Ouyang, Jiahao Qiu +1

We establish a multidimensional fractal transference principle for digit-restricted sets associated with subsets of $N^{d}$ , extending the one-dimensional framework of Nakaj…

math.DS2025★ 1 cited

Independence and mean sensitivity in minimal systems under group actions

Chunlin Liu, Leiye Xu, Shuhao Zhang

In this paper, we mainly study the relation between regularity, independence and mean sensitivity for minimal systems. In the first part, we show that if a minimal system is incont…

math.DS2025

Independence, sequence entropy and mean sensitivity for invariant measures

Chunlin Liu, Leiye Xu, Shuhao Zhang

We investigate the connections between independence, sequence entropy, and mean sensitivity for a measure preserving system under the action of a countable infinite discrete group.…

A three-dimensional corner configuration involving the Omega function

An affirmative answer to Owings's sumset question

Positive Rokhlin Entropy Implies Infinite L1-Orbit Multiplicity: A Negative Answer to Thouvenot's Question

All-Atom GPCR-Ligand Dynamics Simulation via a Residual Latent Flow Mode

Fractal transference principles for subsets of Nd of positive density

Independence and mean sensitivity in minimal systems under group actions

Independence, sequence entropy and mean sensitivity for invariant measures

Positive Rokhlin Entropy Implies Infinite $L^{1}$ -Orbit Multiplicity: A Negative Answer to Thouvenot's Question

Fractal transference principles for subsets of $N^{d}$ of positive density