14 citations · 50 across the 16 of their papers we have counts for
17 papers
Joint ergodicity for functions of polynomial growth
Sebastián Donoso, Andreas Koutsogiannis, Wenbo Sun
We provide necessary and sufficient conditions for joint ergodicity results for systems of commuting measure preserving transformations for an iterated Hardy field function of poly…
Total joint ergodicity for totally ergodic systems
Andreas Koutsogiannis, Wenbo Sun
Examining multiple ergodic averages whose iterates are integer parts of real valued polynomials for totally ergodic systems, we provide various characterizations of total joint erg…
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 -actions with multivariable integer p…
Additive averages of multiplicative correlation sequences and applications
Sebastián Donoso, Anh N. Le, Joel Moreira +1
We study sets of recurrence, in both measurable and topological settings, for actions of and . In particular, we show that autocorre…
Seminorms for multiple averages along polynomials and applications to joint ergodicity
Sebastián Donoso, Andreas Koutsogiannis, Wenbo Sun
Exploiting the recent work of Tao and Ziegler on a concatenation theorem on factors, we find explicit characteristic factors for multiple averages along polynomials on systems with…
Weak ergodic averages over dilated measures
Wenbo Sun
Let and be a measure preserving system with an -action. We say that a Borel measure o…
Optimal lower bounds for multiple recurrence
Sebastián Donoso, Anh N. Le, Joel Moreira +1
Let be an ergodic measure preserving system, and . We study the largeness of sets of the form \begin{equation*} \begin{split} S = \l…
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…
Equidistribution of dilated curves on nilmanifolds
Bryna Kra, Nimish Shah, Wenbo Sun
Generalizing classic results for a family of measures in the torus, for a family of measures defined on a nilmanifold , we study conditions under which the fam…
Pointwise multiple averages for sublinear functions
Sebastián Donoso, Andreas Koutsogiannis, Wenbo Sun
For any measure preserving system where we assume no commutativity on the transformations we study the pointwise converg…
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…
Pointwise convergence of some multiple ergodic averages
Sebastián Donoso, Wenbo Sun
We show that for every ergodic system with commuting transformations, the average \[\frac{1}{N^{d+1}} \sum_{0\leq n_1,\ldots,n_d \leq N-1} \sum_{0\leq n\leq…
Pointwise multiple averages for systems with two commuting transformations
Sebastian Donoso, Wenbo Sun
We show that if is an ergodic measure preserving system with commuting transformations and , then the average \[\frac{1}{N^3} \sum_{i,j,k=0}^{N-1} f_…
A pointwise cubic average for two commuting transformations
Sebastián Donoso, Wenbo Sun
Huang, Shao and Ye recently studied pointwise multiple averages by using suitable topological models. Using a notion of dynamical cubes introduced by the authors, the Huang-Shao-Ye…
Dynamical cubes and a criteria for systems having products extensions
Sebastián Donoso, Wenbo Sun
For minimal -topological dynamical systems, we introduce a cube structure and a variation of the regionally proximal relation for actions, which allo…
A structure theorem for multiplicative functions over the Gaussian integers and applications
Wenbo Sun
We prove a structure theorem for multiplicative functions on the Gaussian integers, showing that every bounded multiplicative function on the Gaussian integers can be decomposed in…
Multiple recurrence and convergence for certain averages along shifted primes
Wenbo Sun
We show any subset with positive upper Banach density contains the pattern , for some and for some prime $…