Vitaly Bergelson (source code)

= Vitaly Bergelson
{c}

<Vitaly Bergelson> studies the interaction of <ergodic theory> with <Ramsey theory> and arithmetic patterns. His Ohio State publication list documents work on recurrence, polynomial configurations and semigroup actions.https://people.math.osu.edu/bergelson.1/[Author publication list]{ref}

His <Ergodic Ramsey Theory - an update by Vitaly Bergelson> develops the exchange between recurrence in dynamical systems and structured configurations in subsets of integers. With <Neil Hindman> and <Kendall Williams>, he also extended <Milliken–Taylor theorem> patterns to polynomial settings, using algebraic properties of ultrafilters to obtain monochromatic configurations.<Ergodic Ramsey Theory - an update by Vitaly Bergelson>[Survey overview]{ref}<Polynomial Extensions of the Milliken-Taylor Theorem by Vitaly Bergelson and others>[Abstract and Theorem 1.6]{ref}