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Note on polynomial recurrence | | Hao Pan
; | | Date: |
25 Feb 2015 | | Abstract: | Let $(X,mu,T_1,...,T_l)$ be a measure-preserving system with those $T_i$ are
commuting. Suppose that the polynomials $p_1(t),...,p_{l}(t)in[t]$ with
$p_j(0)=0$ have distinct degrees. Then for any $epsilon>0$ and $Asubseteq X$
with $mu(A)>0$, the set $$ {n:,mu(Acap T_1^{-p_1(n)}Acap...cap
T_l^{-p_l(n)}A)geqmu(A)^{l+1}-epsilon} $$ has bounded gaps. | | Source: | arXiv, 1502.7203 | | Services: | Forum | Review | PDF | Favorites | |
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