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math.DS2020★ 3 cited
Strongly mixing systems are almost strongly mixing of all orders
Vitaly Bergelson, Rigoberto Zelada
We prove that any strongly mixing action of a countable abelian group on a probability space has higher order mixing properties. This is achieved via introducing and utilizing $\ma…
math.CO2020★ 3 cited
Iterated differences sets, diophantine approximations and applications
Vitaly Bergelson, Rigoberto Zelada
Let be an odd real polynomial (i.e. a polynomial of the form ). We utilize sets of iterated differences to establish new results about sets of the…