V. Bergelson

发表

Sumset phenomenon in countable amenable groups

M. Beiglboeck, V. Bergelson, A. Fish, 2009, 0905.2278.

Encyclopaedia of Mathematics, Supplement III

Konrad Engel, Willy Govaerts, Francisco Marcellán, 2002 .

Polynomial extensions of van der Waerden’s and Szemerédi’s theorems

Vitaly Bergelson, V. Bergelson, A. Leibman, 1996 .

Ergodic Ramsey Theory–an Update

V. Bergelson, VITALY BERGELSON, 1996 .

The Multifarious Poincaré Recurrence Theorem

Alain Louveau, Vitaly Bergelson, Alexander S. Kechris, 2000 .

An Ergodic IP Polynomial Szemerédi Theorem

Vitaly Bergelson, Randall McCutcheon, V. Bergelson, 2000 .

Chapter 12 – Combinatorial and Diophantine Applications of Ergodic Theory

Anthony Quas, M. Wierdl, V. Bergelson, 2006 .

Idempotent ultrafilters, multipleweak mixing and Szemerédi’s theorem for generalized polynomials

V. Bergelson, R. McCutcheon, 2010 .

From discrete- to continuous-time ergodic theorems

C. Moreira, V. Bergelson, A. Leibman, 2011, Ergodic Theory and Dynamical Systems.

Ergodic Ramsey Theory

V. Bergelson, 2013 .

Uniform distribution of prime powers and sets of recurrence and van der Corput sets in ℤk

R. Tichy, G. Kolesnik, V. Bergelson, 2013, 1304.4641.

A Roth theorem for amenable groups

V. Bergelson, R. McCutcheon, Qing Zhang, 1997 .

Ramsey theory in noncommutative semigroups

V. Bergelson, N. Hindman, 1992 .

Set-polynomials and polynomial extension of the Hales-Jewett Theorem

Vitaly Bergelson, Alexander Leibman, V. Bergelson, 1999 .

Iterated differences sets, Diophantine approximations and applications

V. Bergelson, Rigoberto Zelada, 2020, J. Comb. Theory, Ser. A.

IP-sets and polynomial recurrence

V. Bergelson, H. Furstenberg, R. McCutcheon, 1996, Ergodic Theory and Dynamical Systems.

Quotient sets and density recurrent sets

V. Bergelson, N. Hindman, 2012 .

Sets of large values of correlation functions for polynomial cubic configurations

V. Bergelson, A. Leibman, 2016, Ergodic Theory and Dynamical Systems.

On the interplay between notions of additive and multiplicative largeness and its combinatorial applications

Daniel Glasscock, V. Bergelson, 2016, 1610.09771.

Affine actions of a free semigroup on the real line

Vitaly Bergelson, Michal Misiurewicz, M. Misiurewicz, 2006, Ergodic Theory and Dynamical Systems.

Polynomial extensions of the Milliken-Taylor Theorem

V. Bergelson, N. Hindman, Kendall Williams, 2014 .

WM groups and Ramsey theory

V. Bergelson, H. Furstenberg, 2009 .

A selection of open problems

Bruce Rothschild, Vitaly Bergelson, B. Rothschild, 2009 .

Sets Partition Regular for n Equations Need not Solve n + 1

Imre Leader, Neil Hindman, Vitaly Bergelson, 1996 .

Multiplicative subgroups of finite index in a ring

Vitaly Bergelson, D. Shapiro, V. Bergelson, 1992 .

A fresh look at the notion of normality

M. Misiurewicz, T. Downarowicz, V. Bergelson, 2020, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE.

Uniform distribution of subpolynomial functions along primes and applications

G. Kolesnik, V. Bergelson, Younghwan Son, 2015, Journal d'Analyse Mathématique.

Interplay between notions of additive and multiplicative largeness

Daniel Glasscock, V. Bergelson, 2016 .

On the density of coprime tuples of the form (n, [f1(n)],...,[fk(n)]), where f1,...,fk are functions from a hardy field

V. Bergelson, F. Richter, 2017 .

On the density of coprime tuples of the form $(n,\lfloor f_1(n)\rfloor,\ldots,\lfloor f_k(n)\rfloor)$, where $f_1,\ldots,f_k$ are functions from a Hardy field

V. Bergelson, F. Richter, 2016, 1611.08044.

Some new multi-cell Ramsey theoretic results

V. Bergelson, N. Hindman, 2021, Proceedings of the American Mathematical Society, Series B.

Solvability of Rado systems in D-sets

T. Downarowicz, M. Beiglbock, V. Bergelson, 2008, 0809.2281.

New polynomial and multidimensional extensions of classical partition results

Vitaly Bergelson, John H. Johnson, John H. Johnson, 2015, J. Comb. Theory, Ser. A.

Measure preserving actions of affine semigroups and $\{x+y,xy\}$ patterns

V. Bergelson, Joel Moreira, 2015, Ergodic Theory and Dynamical Systems.

Large sets of integers and hierarchy of mixing properties of measure preserving systems

T. Downarowicz, V. Bergelson, 2008 .

Iterated Spectra of Numbers—Elementary, Dynamical, and Algebraic Approaches

Bryna Kra, V. Bergelson, N. Hindman, 1996 .

Partition Theorems for Spaces of Variable Words

A. Blass, V. Bergelson, N. Hindman, 1994 .

Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics

J. Kułaga-Przymus, V. Bergelson, M. Lemanczyk, 2016, Ergodic Theory and Dynamical Systems.

Joint normality of representations of numbers: an ergodic approach

V. Bergelson, Y. Son, 2022, 2208.08596.

Joint ergodicity of piecewise monotone interval maps

V. Bergelson, Y. Son, 2022, Nonlinearity.

Topological multiple recurrence for polynomial configurations in nilpotent groups

V. Bergelson, A. Leibman, 2003 .

Mixing actions of groups

J. Rosenblatt, V. Bergelson, 1988 .

Dynamical generalizations of the prime number theorem and disjointness of additive and multiplicative semigroup actions

V. Bergelson, F. Richter, 2020, Duke Mathematical Journal.

Affine actions of a free semigroup on the real line

M. Misiurewicz, V. Bergelson, S. Senti, 2006, Ergodic Theory and Dynamical Systems.

A Krengel-type theorem for finitely-generated nilpotent groups

B. Mityagin, I. Kornfeld, V. Bergelson, 2001, Ergodic Theory and Dynamical Systems.

Weakly mixing group actions: a brief survey and an example

A. Gorodnik, V. Bergelson, 2005, math/0505025.

Convergence in ergodic theory and probability

Peter March, Vitaly Bergelson, Joseph Rosenblatt, 1996 .

Ergodic theorem involving additive and multiplicative groups of a field and $\{x+y,xy\}$ patterns

V. Bergelson, Joel Moreira, 2013, Ergodic Theory and Dynamical Systems.

Uniform distribution of subpolynomial functions along primes and applications

G. Kolesnik, V. Bergelson, Y. Son, 2019, Journal d'Analyse Mathématique.

Multiple recurrence and nilsequences

Bryna Kra, B. Host, I. Ruzsa, 2005 .

Finite products sets and minimally almost periodic groups

Vitaly Bergelson, Pavel Zorin-Kranich, Donald Robertson, 2014, 1402.4736.

Simultaneous dense and nondense orbits for commuting maps

M. Einsiedler, V. Bergelson, J. Tseng, 2013, 1309.4823.

Multiplicative richness of additively large sets in $\mathbb{Z}^d$

Daniel Glasscock, V. Bergelson, 2016, 1610.09770.

Multiplicative richness of additively large sets in $\mathbb{Z}^d$

Daniel Glasscock, V. Bergelson, 2016, 1610.09770.

Juxtaposing combinatorial and ergodic properties of large sets of integers

Andreu Ferr'e Moragues, V. Bergelson, 2022, Israel Journal of Mathematics.

Rigidity and non-recurrence along sequences

J. Rosenblatt, V. Bergelson, M. Lemanczyk, 2011, Ergodic Theory and Dynamical Systems.

Intersective polynomials and the polynomial Szemerédi theorem

E. Lesigne, V. Bergelson, A. Leibman, 2007, 0710.4862.

Weakly mixing PET

V. Bergelson, 1987, Ergodic Theory and Dynamical Systems.

Uniqueness of a Furstenberg system

Andreu Ferr'e Moragues, V. Bergelson, 2020, 2005.07295.

An ergodic correspondence principle, invariant means and applications

Vitaly Bergelson, Andreu Ferr'e Moragues, V. Bergelson, 2020, Israel Journal of Mathematics.

A Hot Spot Proof of the Generalized Wall Theorem

Vitaly Bergelson, Joseph Vandehey, V. Bergelson, 2019, Am. Math. Mon..

An Extension of Weyl’s Equidistribution Theorem to Generalized Polynomials and Applications

V. Bergelson, Y. Son, Inger J. Haaland Knutson, 2019, International Mathematics Research Notices.

Joint ergodicity along generalized linear functions

V. Bergelson, A. Leibman, Y. Son, 2014, Ergodic Theory and Dynamical Systems.

Weak mixing implies weak mixing of higher orders along tempered functions

V. Bergelson, J. Inger, I. J. H. Knutson, 2009, Ergodic Theory and Dynamical Systems.

Complexities of finite families of polynomials, Weyl systems, and constructions in combinatorial number theory

E. Lesigne, V. Bergelson, A. Leibman, 2007 .

Cubic averages and large intersections

V. Bergelson, A. Leibman, 2018 .

Multiple recurrence and large intersections for abelian group actions

Vitaly Bergelson, Ethan Ackelsberg, Andrew Best, 2021, 2101.02811.

Juxtaposing $d^*$ and $\bar{d}$

Andreu Ferr'e Moragues, V. Bergelson, 2020, 2003.03029.

Multiple recurrence and convergence results associated to $${\text{F}}_P^\omega $$-actions

T. Tao, T. Ziegler, V. Bergelson, 2013, 1305.4717.

Multiple recurrence and convergence results associated to \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\text{F}}_P

T. Ziegler, V. Bergelson, T. Tao, 2015, Journal d'Analyse Mathématique.

Multiple recurrence and convergence results associated to $${\text{F}}_P^\omega $$-actions

T. Tao, T. Ziegler, V. Bergelson, 2013, 1305.4717.

Multiple recurrence and convergence results associated to $\mathbb{F}_{p}^ω$-actions

T. Tao, T. Ziegler, V. Bergelson, 2013 .

Polynomial patterns in subsets of large finite fields of low characteristic

V. Bergelson, Ethan Ackelsberg, 2023, 2303.00925.

Van der Corput's Difference Theorem: some modern developments

V. Bergelson, Joel Moreira, 2015, 1510.07332.

Polynomial Szemerédi theorems for countable modules over integral domains and finite fields

V. Bergelson, A. Leibman, R. McCutcheon, 2005 .

AN INVERSE THEOREM FOR THE UNIFORMITY SEMINORMS ASSOCIATED WITH THE ACTION OF Fp

T. Tao, T. Ziegler, V. Bergelson, 2010 .

Asymptotic total ergodicity for actions of $\mathbb{F}[t]$ and polynomial configurations over finite fields and rings

V. Bergelson, Ethan Ackelsberg, 2023, 2303.00100.

Sums of Powers in Large Finite Fields: A Mix of Methods

V. Bergelson, A. Iosevich, André Best, 2020, Am. Math. Mon..

A Weyl-type equidistribution theorem in finite characteristic

V. Bergelson, A. Leibman, 2016 .

Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications

V. Bergelson, F. Richter, Joel Moreira, 2020, 2006.03558.

Single and multiple recurrence along non-polynomial sequences

V. Bergelson, F. Richter, Joel Moreira, 2017, Advances in Mathematics.

Jointly ergodic measure-preserving transformations

D. Berend, V. Bergelson, 1984 .

Failure of the Roth theorem for solvable groups of exponential growth

V. Bergelson, 2004, Ergodic Theory and Dynamical Systems.

Notions of Size and Combinatorial Properties of Quotient Sets in Semigroups

Neil Hindman, Vitaly Bergelson, Randall McCutcheon, 1998 .

Some Topological Semicommutative Van Der Waerden Type Theorems and their Combinatorial Consequences

V. Bergelson, N. Hindman, 1992 .

ASPECTS OF UNIFORMITY IN RECURRENCE

B. Host, V. Bergelson, R. McCutcheon, 2000 .

Khintchine-type recurrence for 3-point configurations

V. Bergelson, Ethan Ackelsberg, O. Shalom, 2022, Forum of Mathematics, Sigma.

Distribution of values of bounded generalized polynomials

V. Bergelson, A. Leibman, 2007 .

Vitaly Bergelson, Ethan Ackelsberg, V. Bergelson, 2021, 2107.07626.

The Furstenberg–Sárközy Theorem and Asymptotic Total Ergodicity Phenomena in Modular Rings

V. Bergelson, André Best, 2020, Journal of Number Theory.

Strongly mixing systems are almost strongly mixing of all orders

V. Bergelson, Rigoberto Zelada, 2020, 2010.06146.

Ultrafilters across Mathematics

Andreas Blass, Vitaly Bergelson, Mauro Di Nasso, 2010 .

Ultrafilters, IP sets, Dynamics, and Combinatorial Number Theory

V. Bergelson, 2010 .

Some results on non-linear recurrence

J. Bourgain, M. Boshernitzan, V. Bergelson, 1994 .

The shifted primes and the multidimensional Szemerédi and polynomial Van der Waerden theorems

T. Ziegler, V. Bergelson, A. Leibman, 2010, 1007.1839.

Central sets and a non-commutative Roth theorem

V. Bergelson, R. McCutcheon, 2007 .

IP-systems, generalized polynomials and recurrence

V. Bergelson, R. McCutcheon, Inger J. Haland Knutson, 2006, Ergodic Theory and Dynamical Systems.

Ergodic Ramsey theory: a dynamical approach to static theorems

V. Bergelson, 2006 .

Ergodic Theory of ℤ d Actions: Ergodic Ramsey Theory

V. Bergelson, 1996 .

Multiplicative structures in additively large sets

Neil Hindman, Vitaly Bergelson, Mathias Beiglböck, 2006, J. Comb. Theory, Ser. A.

Multiplicatively large sets and ergodic Ramsey theory

Vitaly Bergelson, V. Bergelson, 2005 .

A nilpotent Roth theorem

V. Bergelson, A. Leibman, 2002 .

Sets of Recurrence and Generalized Polynomials

V. Bergelson, I. Håland, 1996 .

Sumsets in difference sets

I. Ruzsa, V. Bergelson, 2009 .

Multiplicative richness of additively large sets in Zd

Daniel Glasscock, V. Bergelson, 2018, Journal of Algebra.

Ledrappier’s system is almost mixing of all orders

D. Berend, V. Bergelson, L. Arenas-Carmona, 2008, Ergodic Theory and Dynamical Systems.

A Central Limit Theorem for B–free dynamical systems

V. Bergelson, M. Avdeeva, M. Balazard, 2016 .

Multiple recurrence and popular differences for polynomial patterns in rings of integers

V. Bergelson, Ethan Ackelsberg, 2021, Mathematical Proceedings of the Cambridge Philosophical Society.

An Inverse Theorem for the Uniformity Seminorms Associated with the Action of $${{\mathbb {F}^{\infty}_{p}}}$$

T. Tao, T. Ziegler, V. Bergelson, 2009, 0901.2602.

An Inverse Theorem for the Uniformity Seminorms Associated with the Action of F

Terence Tao, Vitaly Bergelson, Tamar Ziegler, 2010 .

VAN DER CORPUT SETS IN Z d

E. Lesigne, V. Bergelson, 2007, 0710.4861.

Sets of Recurrence of Zm-Actions and Properties of Sets of Differences in Zm

V. Bergelson, 1985 .

SETS OF RECURRENCE OF Z-ACTIONS AND PROPERTIES OF SETS OF DIFFERENCES IN Z

V. Bergelson, 2006 .

Additive and Multiplicative Ramsey Theory in the Reals and the Rationals

Imre Leader, Neil Hindman, Vitaly Bergelson, 1999, J. Comb. Theory, Ser. A.

Some new results in multiplicative and additive Ramsey theory

M. Beiglböck, D. Strauss, V. Bergelson, 2008 .

Iterated differences sets, Diophantine approximations and applications

Vitaly Bergelson, Rigoberto Zelada, V. Bergelson, 2020, J. Comb. Theory, Ser. A.

Deterministic functions on amenable semigroups and a generalization of the Kamae-Weiss theorem on normality preservation

Vitaly Bergelson, Joseph Vandehey, Tomasz Downarowicz, 2020, Journal d'Analyse Mathématique.

Triangles in Cartesian Squares of Quasirandom Groups

Vitaly Bergelson, D. Robertson, Pavel Zorin-Kranich, 2014, Combinatorics, Probability and Computing.

Polynomial multiple recurrence over rings of integers

V. Bergelson, D. Robertson, 2014, Ergodic Theory and Dynamical Systems.

Strongly central sets and sets of polynomial returns mod 1

V. Bergelson, N. Hindman, D. Strauss, 2012 .

Polynomials at iterated spectra near zero

D. Strauss, V. Bergelson, N. Hindman, 2011 .

Some Historical Remarks and Modern Questions Around the Ergodic Theorem (Dynamics of Complex Systems)

V. Bergelson, 2004 .

Piecewise-Bohr Sets of Integers and Combinatorial Number Theory

B. Weiss, V. Bergelson, H. Furstenberg, 2006 .