Wenbo Sun

activity

20172021

collaborators

6 papers

math.DS2021

Decomposition of multicorrelation sequences and joint ergodicity

Sebastián Donoso, Andreu Ferré Moragues, Andreas Koutsogiannis +1

We show that, under finitely many ergodicity assumptions, any multicorrelation sequence defined by invertible measure preserving $Z^{d}$ -actions with multivariable integer p…

math.DS2018

Weak ergodic averages over dilated measures

Wenbo Sun

Let $m \in N$ and $X = (X, X, μ, (T_{α})_{α \in R^{m}})$ be a measure preserving system with an $R^{m}$ -action. We say that a Borel measure $ν$ o…

math.DS2018

Optimal lower bounds for multiple recurrence

Sebastián Donoso, Anh N. Le, Joel Moreira +1

Let $(X, B, μ, T)$ be an ergodic measure preserving system, $A \in B$ and $ε > 0$ . We study the largeness of sets of the form \begin{equation*} \begin{split} S = \l…

math.DS2018

Under- and over-independence in measure preserving systems

Terry Adams, Vitaly Bergelson, Wenbo Sun

We introduce the notions of over- and under-independence for weakly mixing and (free) ergodic measure preserving actions and establish new results which complement and extend the t…

math.DS2017

Pointwise multiple averages for sublinear functions

Sebastián Donoso, Andreas Koutsogiannis, Wenbo Sun

For any measure preserving system $(X, B, μ, T_{1}, \dots, T_{d}),$ where we assume no commutativity on the transformations $T_{i},$ $1 \leq i \leq d,$ we study the pointwise converg…

math.DS2017

Quantitative multiple recurrence for two and three transformations

Sebastián Donoso, Wenbo Sun

We provide various counter examples for quantitative multiple recurrence problems for systems with more than one transformation. We show that $∙$ There exists an ergodic syst…