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math.DS2024
Multiple recurrence without commutativity
Wen Huang, Song Shao, Xiangdong Ye
We study multiple recurrence without commutativity in this paper. We show that for any two homeomorphisms with and being minimal, there is a r…
math.CO2024
Monochromatic Sums and Products with Additive or Multiplicative Shifts in Natural Numbers
Wen Huang, Song Shao, Tianyi Tao +2
In this paper we prove that for any finite coloring of N there are lambda,rho in N such that infinitely many pairs (x,y),(u,v) in N^2 satisfy the sets {lambda x, lambda y, x y, lam…
math.DS2024
A counterexample on multiple convergence without commutativity
Wen Huang, Song Shao, Xiangdong Ye
It is shown that there exist a probability space , two ergodic measure preserving transformations acting on with $h_μ(X,T)=h_μ(X,S)=0…