Vitaly Bergelson

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All published works

Action	Title	Year	Authors
+ PDF Chat	New Applications of Ergodic Theory to Sets of Differences	2024	Kabir Belgikar Vitaly Bergelson Gabriel Black David Kruzel
+ PDF Chat	Joint normality of representations of numbers: an ergodic approach	2024	Vitaly Bergelson Younghwan Son
+ PDF Chat	Multiple ergodic averages along functions from a Hardy field: Convergence, recurrence and combinatorial applications	2024	Vitaly Bergelson Joel Moreira Florian K. Richter
+	The work of Hillel Furstenberg and its impact on modern mathematics	2024	Vitaly Bergelson Eli Glasner Benjamin Weiss
+ PDF Chat	Multiple recurrence and popular differences for polynomial patterns in rings of integers	2023	Ethan Ackelsberg Vitaly Bergelson
+ PDF	Strongly mixing systems are almost strongly mixing of all orders	2023	Vitaly Bergelson Rigoberto Zelada
+ PDF Chat	Joint ergodicity of piecewise monotone interval maps	2023	Vitaly Bergelson Y. G. Son
+	Asymptotic total ergodicity for actions of $\mathbb{F}[t]$ and polynomial configurations over finite fields and rings	2023	Ethan Ackelsberg Vitaly Bergelson
+	Polynomial patterns in subsets of large finite fields of low characteristic	2023	Ethan Ackelsberg Vitaly Bergelson
+	On the Polynomial Szemerédi Theorem in Finite Commutative Rings	2023	Vitaly Bergelson Andrew Best
+	Juxtaposing combinatorial and ergodic properties of large sets of integers	2022	Vitaly Bergelson Andreu Ferré Moragues
+ PDF Chat	Dynamical generalizations of the prime number theorem and disjointness of additive and multiplicative semigroup actions	2022	Vitaly Bergelson Florian K. Richter
+ PDF Chat	Deterministic functions on amenable semigroups and a generalization of the Kamae-Weiss theorem on normality preservation	2022	Vitaly Bergelson Tomasz Downarowicz Joseph Vandehey
+ PDF Chat	The Furstenberg–Sárközy theorem and asymptotic total ergodicity phenomena in modular rings	2022	Vitaly Bergelson Andrew Best
+ PDF Chat	Discordant sets and ergodic Ramsey theory	2022	Vitaly Bergelson Jake Huryn Rushil Raghavan
+ PDF Chat	Khintchine-type recurrence for 3-point configurations	2022	Ethan Ackelsberg Vitaly Bergelson Or Shalom
+	Joint normality of representations of numbers: an ergodic approach	2022	Vitaly Bergelson Younghwan Son
+	Joint ergodicity of piecewise monotone interval maps	2022	Vitaly Bergelson Younghwan Son
+ PDF	Khintchine-type recurrence for 3-point configurations	2022	Ethan Ackelsberg Vitaly Bergelson Or Shalom
+ PDF	Some new multi-cell Ramsey theoretic results	2021	Vitaly Bergelson Neil Hindman
+ PDF	Multiple recurrence and large intersections for abelian group actions	2021	Ethan Ackelsberg Vitaly Bergelson Andrew Best
+ PDF Chat	An ergodic correspondence principle, invariant means and applications	2021	Vitaly Bergelson Andreu Ferré Moragues
+ PDF	Sums of Powers in Large Finite Fields: A Mix of Methods	2021	Vitaly Bergelson Andrew Best Alex Iosevich
+ PDF Chat	Iterated differences sets, Diophantine approximations and applications	2021	Vitaly Bergelson Rigoberto Zelada
+	Polynomial multiple recurrence and large intersections in rings of integers	2021	Ethan Ackelsberg Vitaly Bergelson
+	Popular differences for polynomial patterns in rings of integers.	2021	Ethan Ackelsberg Vitaly Bergelson
+ PDF	Uniqueness of a Furstenberg system	2021	Vitaly Bergelson Andreu Ferré Moragues
+	Multiple recurrence and large intersections for abelian group actions	2021	Ethan Ackelsberg Vitaly Bergelson Andrew Best
+	Multiple recurrence and popular differences for polynomial patterns in rings of integers	2021	Ethan Ackelsberg Vitaly Bergelson
+	Multiple recurrence and large intersections for abelian group actions	2021	Ethan Ackelsberg Vitaly Bergelson Andrew Best
+	Discordant sets and ergodic Ramsey theory	2020	Vitaly Bergelson Jake Huryn Rushil Raghavan
+	Iterated differences sets, diophantine approximations and applications	2020	Vitaly Bergelson Rigoberto Zelada
+	Sums of Powers in Large Finite Fields: A Mix of Methods	2020	Vitaly Bergelson Andrew Best Alex Iosevich
+	Uniqueness of a Furstenberg system	2020	Vitaly Bergelson Andreu Ferré Moragues
+	Single and multiple recurrence along non-polynomial sequences	2020	Vitaly Bergelson Joel Moreira Florian K. Richter
+	A fresh look at the notion of normality	2020	Vitaly Bergelson Tomasz Downarowicz Michał Misiurewicz
+	Juxtaposing $d^*$ and $\bar{d}$	2020	Vitaly Bergelson Andreu Ferré Moragues
+	An ergodic correspondence principle, invariant means and applications	2020	Vitaly Bergelson Andreu Ferré Moragues
+ PDF	An Extension of Weyl’s Equidistribution Theorem to Generalized Polynomials and Applications	2020	Vitaly Bergelson Inger J. Håland Knutson Y. G. Son
+	On the interplay between additive and multiplicative largeness and its combinatorial applications	2020	Vitaly Bergelson Daniel Glasscock
+ PDF Chat	Under- and over-independence in measure preserving systems	2020	Terrence M. Adams Vitaly Bergelson Wenbo Sun
+	Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications	2020	Vitaly Bergelson Joel Moreira Florian K. Richter
+	The Furstenberg-Sárközy Theorem and Asymptotic Total Ergodicity Phenomena in Modular Rings	2020	Vitaly Bergelson Andrew Best
+	Strongly mixing systems are almost strongly mixing of all orders	2020	Vitaly Bergelson Rigoberto Zelada
+	Iterated differences sets, diophantine approximations and applications	2020	Vitaly Bergelson Rigoberto Zelada
+	Uniqueness of a Furstenberg system	2020	Vitaly Bergelson Andreu Ferré Moragues
+	A fresh look at the notion of normality	2020	Vitaly Bergelson Tomasz Downarowicz Michał Misiurewicz
+	An ergodic correspondence principle, invariant means and applications	2020	Vitaly Bergelson Andreu Ferré Moragues
+	Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions	2020	Vitaly Bergelson Florian K. Richter
+	Deterministic functions on amenable semigroups and a generalization of the Kamae-Weiss theorem on normality preservation	2020	Vitaly Bergelson Tomasz Downarowicz Joseph Vandehey
+	Sums of Powers in Large Finite Fields: A Mix of Methods	2020	Vitaly Bergelson Andrew Best Alex Iosevich
+	A Hot Spot Proof of the Generalized Wall Theorem	2019	Vitaly Bergelson Joseph Vandehey
+ PDF Chat	Uniform distribution of subpolynomial functions along primes and applications	2019	Vitaly Bergelson Grigori Kolesnik Y. G. Son
+ PDF	A fresh look at the notion of normality	2019	Vitaly Bergelson Tomasz Downarowicz Michał Misiurewicz
+ PDF	A generalization of Kátai's orthogonality criterion with applications	2019	Vitaly Bergelson Joanna Kułaga-Przymus Mariusz Lemańczyk Florian K. Richter
+	An extension of Weyl's equidistribution theorem to generalized polynomials and applications	2019	Vitaly Bergelson Inger J. Håland Knutson Y. G. Son
+ PDF	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">IP</mml:mi></mml:mrow><mml:mrow><mml:mi>r</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msubsup></mml:math>-recurrence and nilsystems	2018	Vitaly Bergelson A. Leibman
+ PDF	A Structure Theorem for Level Sets of Multiplicative Functions and Applications	2018	Vitaly Bergelson Joanna Kułaga-Przymus Mariusz Lemańczyk Florian K. Richter
+ PDF	Multiplicative richness of additively large sets in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup></mml:math>	2018	Vitaly Bergelson Daniel Glasscock
+ PDF Chat	Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics	2018	Vitaly Bergelson Joanna Kułaga-Przymus Mariusz Lemańczyk F. K. Richter
+	Under- and over-independence in measure preserving systems	2018	Terrence M. Adams Vitaly Bergelson Wenbo Sun
+	An almost mixing of all orders property of algebraic dynamical systems	2017	Luis Arenas-Carmona Daniel Berend Vitaly Bergelson
+	Applications of multiplicative number theory to uniform distribution and ergodic Ramsey theory	2017	Vitaly Bergelson Joanna Kułaga-Przymus Mariusz Lemańczyk F. K. Richter
+	A generalization of K\'atai's orthogonality criterion with applications	2017	Vitaly Bergelson Joanna Kułaga-Przymus Mariusz Lemańczyk F. K. Richter
+	On the Density of Coprime Tuples of the Form (n, ⌊ f 1(n)⌋, …, ⌊ f k (n)⌋), Where f 1, …, f k Are Functions from a Hardy Field	2017	Vitaly Bergelson Florian K. Richter
+ PDF	New examples of complete sets, with connections to a Diophantine theorem of Furstenberg	2016	Vitaly Bergelson David Simmons
+	New polynomial and multidimensional extensions of classical partition results	2016	Vitaly Bergelson John H. Johnson Joel Moreira
+	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	2016	Vitaly Bergelson Florian K. Richter
+	Interplay between notions of additive and multiplicative largeness	2016	Vitaly Bergelson Daniel Glasscock
+	Sets of large values of correlation functions for polynomial cubic configurations	2016	Vitaly Bergelson A. Leibman
+ PDF Chat	Triangles in Cartesian Squares of Quasirandom Groups	2016	Vitaly Bergelson Donald Robertson Pavel Zorin‐Kranich
+	Measure preserving actions of affine semigroups and patterns	2016	Vitaly Bergelson Joel Moreira
+ PDF Chat	Polynomial recurrence with large intersection over countable fields	2016	Vitaly Bergelson Donald Robertson
+ PDF Chat	Finite products sets and minimally almost periodic groups	2016	Vitaly Bergelson John Christopherson Donald Robertson Pavel Zorin‐Kranich
+	IPr* recurrence and nilsystems	2016	Vitaly Bergelson A. Leibman
+	Multiplicative richness of additively large sets in $\mathbb{Z}^d$	2016	Vitaly Bergelson Daniel Glasscock
+	On the interplay between notions of additive and multiplicative largeness and its combinatorial applications	2016	Vitaly Bergelson Daniel Glasscock
+	A Weyl-type equidistribution theorem in finite characteristic	2015	Vitaly Bergelson A. Leibman
+ PDF Chat	Van der Corput’s difference theorem: some modern developments	2015	Vitaly Bergelson Joel Moreira
+	Van der Corput's Difference Theorem: some modern developments	2015	Vitaly Bergelson Joel Moreira
+ PDF Chat	Ergodic theorem involving additive and multiplicative groups of a field and patterns	2015	Vitaly Bergelson Joel Moreira
+	Measure preserving actions of affine semigroups and {x+y,xy} patterns	2015	Vitaly Bergelson Joel Moreira
+	Multiple recurrence and convergence results associated to $${\text{F}}_P^\omega $$ -actions	2015	Vitaly Bergelson Terence Tao Tamar Ziegler
+ PDF	Simultaneous dense and nondense orbits for commuting maps	2015	Vitaly Bergelson Manfred Einsiedler Jimmy Tseng
+	New examples of complete sets, with connections to a Diophantine theorem of Furstenberg	2015	Vitaly Bergelson David Simmons
+ PDF Chat	Joint ergodicity along generalized linear functions	2015	Vitaly Bergelson A. Leibman Y. G. Son
+ PDF Chat	Polynomial multiple recurrence over rings of integers	2015	Vitaly Bergelson Donald Robertson
+	New polynomial and multidimensional extensions of classical partition results	2015	Vitaly Bergelson John H. Johnson Joel Moreira
+	Uniform distribution of subpolynomial functions along primes and applications	2015	Vitaly Bergelson Grigori Kolesnik Y. G. Son
+	Cubic averages and large intersections	2015	Vitaly Bergelson A. Leibman
+	Measure preserving actions of affine semigroups and {x+y,xy} patterns	2015	Vitaly Bergelson Joel Moreira
+	Van der Corput's Difference Theorem: some modern developments	2015	Vitaly Bergelson Joel Moreira
+	New polynomial and multidimensional extensions of classical partition results	2015	Vitaly Bergelson John H. Johnson Joel Moreira
+	New examples of complete sets, with connections to a Diophantine theorem of Furstenberg	2015	Vitaly Bergelson David Simmons
+	Polynomial multiple recurrence over rings of integers	2014	Vitaly Bergelson Donald Robertson
+	Polynomial recurrence with large intersection over countable fields	2014	Vitaly Bergelson Donald Robertson
+ PDF	Polynomial extensions of the Milliken-Taylor Theorem	2014	Vitaly Bergelson Neil Hindman Kendall Williams
+	Uniform distribution of prime powers and sets of recurrence and van der Corput sets in ℤ k	2014	Vitaly Bergelson Grigori Kolesnik Manfred G. Madritsch Y. G. Son Robert F. Tichy
+ PDF Chat	Multiple Recurrence in Quasirandom Groups	2014	Vitaly Bergelson Terence Tao
+	Joint ergodicity along generalized linear functions	2014	Vitaly Bergelson A. Leibman Y. G. Son
+	Polynomial actions of unitary operators and idempotent ultrafilters	2014	Vitaly Bergelson Stanisław Kasjan Mariusz Lemańczyk
+	Polynomial multiple recurrence over rings of integers	2014	Vitaly Bergelson Donald Robertson
+	Polynomial recurrence with large intersection over countable fields	2014	Vitaly Bergelson Donald Robertson
+	Simultaneous dense and nondense orbits for commuting maps	2013	Vitaly Bergelson Manfred Einsiedler Jimmy Tseng
+	Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory	2013	Vitaly Bergelson Nikos Frantzikinakis Terence Tao Tamar Ziegler
+	On $\{x+y,xy\}$ patterns in large sets of countable fields	2013	Vitaly Bergelson Joel Moreira
+	Uniform Distribution of Prime Powers and sets of Recurrence and van der Corput sets in Z^k	2013	Vitaly Bergelson Grigori Kolesnik Manfred G. Madritsch Y. G. Son Robert F. Tichy
+ PDF Chat	Rigidity and non-recurrence along sequences	2013	Vitaly Bergelson Andrés del Junco Mariusz Lemańczyk Joseph Rosenblatt
+	Dense Difference Sets and Their Combinatorial Structure	2013	Vitaly Bergelson P. Erdős Neil Hindman Tomasz Łuczak
+	Multiple recurrence and convergence results associated to $\mathbb{F}_{p}^ω$-actions	2013	Vitaly Bergelson Terence Tao Tamar Ziegler
+	Simultaneous dense and nondense orbits for commuting maps	2013	Vitaly Bergelson Manfred Einsiedler Jimmy Tseng
+ PDF	Quotient sets and density recurrent sets	2012	Vitaly Bergelson Neil Hindman
+	Multiple recurrence in quasirandom groups	2012	Vitaly Bergelson Terence Tao
+ PDF	Strongly central sets and sets of polynomial returns mod 1	2011	Vitaly Bergelson Neil Hindman Dona Strauss
+	From discrete- to continuous-time ergodic theorems	2011	Vitaly Bergelson A. Leibman Carlos Gustavo Moreira
+	Form discrete- to continuous-time ergodic theorems	2011	Vitaly Bergelson A. Leibman Carlos Gustavo Moreira
+	Polynomials at iterated spectra near zero	2011	Vitaly Bergelson Neil Hindman Dona Strauss
+	Form discrete- to continuous-time ergodic theorems	2011	Vitaly Bergelson A. Leibman Carlos Gustavo Moreira
+	V.9 Ergodic Theorems	2010	Vitaly Bergelson
+ PDF Chat	The shifted primes and the multidimensional Szemerédi and polynomial Van der Waerden theorems	2010	Vitaly Bergelson A. Leibman Tamar Ziegler
+ PDF	Idempotent ultrafilters, multipleweak mixing and Szemerédi’s theorem for generalized polynomials	2010	Vitaly Bergelson Randall McCutcheon
+	Ergodic Ramsey Theory	2010	Vitaly Bergelson Mark Pollicott Klaus M. Schmidt
+	Uniformity in the polynomial Szemérdi theorem	2010	Vitaly Bergelson Randall McCutcheon Mark Pollicott Klaus Schmidt
+ PDF	An Inverse Theorem for the Uniformity Seminorms Associated with the Action of $${{\mathbb {F}^{\infty}_{p}}}$$	2010	Vitaly Bergelson Terence Tao Tamar Ziegler
+	Ultrafilters across Mathematics	2010	Vitaly Bergelson Andreas Blass Mauro Di Nasso Renling Jin
+ PDF	Ultrafilters, IP sets, dynamics, and combinatorial number theory	2010	Vitaly Bergelson
+ PDF	Sumsets in difference sets	2009	Vitaly Bergelson Imre Z. Ruzsa
+	Sumset phenomenon in countable amenable groups	2009	Mathias Beiglböck Vitaly Bergelson Alexander Fish
+ PDF	WM groups and Ramsey theory	2009	Vitaly Bergelson Hillel Fürstenberg
+	A selection of open problems	2009	Vitaly Bergelson Bruce Rothschild
+	Solvability of Rado systems in D-sets	2009	Mathias Beiglböck Vitaly Bergelson Tomasz Downarowicz Alexander Fish
+ PDF	Weak mixing implies weak mixing of higher orders along tempered functions	2009	Vitaly Bergelson Inger J. Håland Knutson
+	Sumset Phenomenon in Countable Amenable Groups	2009	Mathias Beiglboeck Vitaly Bergelson Alexander Fish
+	Intersective polynomials and the polynomial Szemerédi theorem	2008	Vitaly Bergelson A. Leibman Emmanuel Lesigne
+ PDF	Ledrappier’s system is almost mixing of all orders	2008	Luis Arenas-Carmona Daniel Berend Vitaly Bergelson
+ PDF	Large sets of integers and hierarchy of mixing properties of measure preserving systems	2008	Vitaly Bergelson Tomasz Downarowicz
+ PDF	Van der Corput sets in Z<sup>d</sup>	2008	Vitaly Bergelson Emmanuel Lesigne
+ PDF	Intersective polynomials and polynomial Szemeredi theorem	2008	Vitaly Bergelson A. Leibman Emmanuel Lesigne
+	Solvability of Rado systems in D-sets	2008	Mathias Beiglböck Vitaly Bergelson Tomasz Downarowicz Alexander Fish
+ PDF	Van der Corput sets in Z^d	2008	Vitaly Bergelson Emmanuel Lesigne
+ PDF	Van der Corput sets in Z^d	2008	Vitaly Bergelson Emmanuel Lesigne
+ PDF	Van der Corput sets in Z^d	2008	Vitaly Bergelson Emmanuel Lesigne
+	Van der Corput sets in Z^d	2008	Vitaly Bergelson Emmanuel Lesigne
+ PDF	Van der Corput sets in Z^d	2008	Vitaly Bergelson Emmanuel Lesigne
+ PDF	Van der Corput sets in Z^d	2008	Vitaly Bergelson Emmanuel Lesigne
+ PDF	Van der Corput sets in Z^d	2008	Vitaly Bergelson Emmanuel Lesigne
+ PDF	Complexities of finite families of polynomials, Weyl systems, and constructions in combinatorial number theory	2007	Vitaly Bergelson A. Leibman Emmanuel Lesigne
+	Van der Corput sets in Z^d	2007	Vitaly Bergelson Emmanuel Lesigne
+	Central sets and a non-commutative Roth theorem	2007	Vitaly Bergelson Randall McCutcheon
+	Piecewise-Bohr Sets of Integers and Combinatorial Number Theory	2007	Vitaly Bergelson Hillel Fürstenberg Benjamin Weiss
+	Some new results in multiplicative and additive Ramsey theory	2007	Mathias Beiglböck Vitaly Bergelson Neil Hindman Dona Strauss
+ PDF	Ergodic Ramsey theory: a dynamical approach to static theorems	2007	Vitaly Bergelson
+ PDF Chat	Ergodicity and mixing of non-commuting epimorphisms	2007	Vitaly Bergelson Alexander Gorodnik
+ PDF	Distribution of values of bounded generalized polynomials	2007	Vitaly Bergelson A. Leibman
+	Van der Corput sets in Z^d	2007	Vitaly Bergelson Emmanuel Lesigne
+ PDF Chat	Affine actions of a free semigroup on the real line	2006	Vitaly Bergelson Michał Misiurewicz Samuel Senti
+	IP-systems, generalized polynomials and recurrence	2006	Vitaly Bergelson Inger J. Håland Knutson Randall McCutcheon
+	Combinatorial and Diophantine Applications of Ergodic Theory	2006	Vitaly Bergelson A. LeibmanM Anthony Quas Μáté Wierdl
+	Multiplicative structures in additively large sets	2005	Mathias Beiglböck Vitaly Bergelson Neil Hindman Dona Strauss
+	Polynomial Szemerédi theorems for countable modules over integral domains and finite fields	2005	Vitaly Bergelson A. Leibman Randall McCutcheon
+	Multiplicatively large sets and ergodic Ramsey theory	2005	Vitaly Bergelson
+ PDF	Multiple recurrence and nilsequences	2005	Vitaly Bergelson Bernard Host Bryna Kra Imre Z. Ruzsa
+	Weakly mixing group actions: a brief survey and an example	2005	Vitaly Bergelson Alexander Gorodnik
+ PDF	Simultaneous Diophantine approximation and VIP systems	2005	Vitaly Bergelson Inger J. Haaland Knutson Randall McCutcheon
+	Ergodicity and mixing of noncommuting epimorphisms	2005	Vitaly Bergelson Alexander Gorodnik
+	Failure of the Roth theorem for solvable groups of exponential growth	2004	Vitaly Bergelson A. Leibman
+	Minimal idempotents and ergodic Ramsey theory	2003	Vitaly Bergelson
+ PDF	Topological multiple recurrence for polynomial configurations in nilpotent groups	2003	Vitaly Bergelson A. Leibman
+	A nilpotent Roth theorem	2002	Vitaly Bergelson A. Leibman
+	A Krengel-type theorem for finitely-generated nilpotent groups	2001	Vitaly Bergelson Isaac Kornfeld A. Leibman Boris Mityagin
+	Partition Regular Structures Contained in Large Sets Are Abundant	2001	Vitaly Bergelson Neil Hindman
+	The Multifarious Poincaré Recurrence Theorem	2000	Vitaly Bergelson
+	An ergodic IP polynomial Szemerédi theorem	2000	Vitaly Bergelson Randall McCutcheon
+ PDF	Aspects of uniformity in recurrence	2000	Vitaly Bergelson Bernard Host Randall McCutcheon Franiçois Parreau
+ PDF Chat	Set-Polynomials and Polynomial Extension of the Hales-Jewett Theorem	1999	Vitaly Bergelson A. Leibman
+	Set-polynomials and polynomial extension of the Hales-Jewett Theorem	1999	Vitaly Bergelson A. Leibman
+	Additive and Multiplicative Ramsey Theory in the Reals and the Rationals	1999	Vitaly Bergelson Neil Hindman Imre Leader
+	Set-polynomials and polynomial extension of the Hales-Jewett Theorem	1999	Vitaly Bergelson A. Leibman
+	Notions of Size and Combinatorial Properties of Quotient Sets in Semigroups	1998	Vitaly Bergelson Neil Hindman Randall McCutcheon
+ PDF	Recurrence for semigroup actions and a non-commutative Schur theorem	1998	Vitaly Bergelson Randall McCutcheon
+	A Roth theorem for amenable groups	1997	Vitaly Bergelson Randall McCutcheon Shouxin Zhang
+	All‐sum sets in (0,1]—Category and measure	1997	Vitaly Bergelson Neil Hindman Benjamin Weiss
+	Dense Difference Sets and their Combinatorial Structure	1997	Vitaly Bergelson P. Erdős Neil Hindman Tomasz Łuczak
+ PDF	Sets of Recurrence and Generalized Polynomials	1996	Vitaly Bergelson Inger Johanne Håland
+	IP* Sets in Product Spaces	1996	Vitaly Bergelson Neil Hindman
+	Sets Partition Regular for <i>n</i> Equations Need not Solve <i>n</i> + 1	1996	Vitaly Bergelson Neil Hindman Imre Leader
+	IP-sets and polynomial recurrence	1996	Vitaly Bergelson Hillel Fürstenberg Randall McCutcheon
+ PDF	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman
+ PDF	Iterated Spectra of Numbers—Elementary, Dynamical, and Algebraic Approaches	1996	Vitaly Bergelson Neil Hindman Bryna Kra
+	Weakly Wandering Vectors for Unitary Actions of Commutative Groups	1994	Vitaly Bergelson Isaac Kornfeld Boris Mityagin
+	Some results on non-linear recurrence	1994	Vitaly Bergelson Michael Boshernitzan Jean Bourgain
+	On IP* sets and central sets	1994	Vitaly Bergelson Neil Hindman
+	Rearrangement of the bow shock shape using a ?hot spike?	1994	I. V. Nemchinov V. I. Artem'ev Vitaly Bergelson V. M. Khazins T. I. Orlova V. A. Rybakov
+	Propagation of a shock wave in a locally anisotropic medium containing channels with elevated thermal diffusivity	1994	Vitaly Bergelson I. V. Nemchinov D. V. Pomazkin
+ PDF	Partition Theorems for Spaces of Variable Words	1994	Vitaly Bergelson Andreas Blass Neil Hindman
+	Rado's theorem for commutative rings	1994	Vitaly Bergelson Walter Deuber Neil Hindman Hanno Lefmann
+	Unitary ℤ d -Actions with Continuous Spectrum	1993	Vitaly Bergelson Isaac Kornfeld Boris Mityagin
+	Plane shock wave cumulation in a tube with a thin wall low-density gas layer	1993	Vitaly Bergelson I. V. Nemchinov T. I. Orlova V. M. Khazins
+	Additive and Multiplicative Ramsey Theorems in ℕ – Some Elementary Results	1993	Vitaly Bergelson Neil Hindman
+	Induced vorticity and mixing of supersonic flows	1993	Vitaly Bergelson I. V. Nemchinov T. I. Orlova V. M. Khazins
+	Interaction of a shock wave with the wall layer	1993	Vitaly Bergelson Yu. N. Kiselëv V. A. Klumov I. V. Nemchinov T. I. Orlova V. B. Rozhdestvenskij V. M. Khazins
+ PDF	Unitary 𝑍^{𝑑}-actions with continuous spectrum	1993	Vitaly Bergelson Isaac Kornfeld Boris Mityagin
+	Vortex flows induced by interaction of a shock wave with thin regions of finite length and reduced density	1993	V. I. Artem'ev Vitaly Bergelson S. A. Medvedyuk I. V. Nemchinov T. I. Orlova Vladimir Rybakov V. M. Khazins
+ PDF	Multiplicative Subgroups of Finite Index in a Ring	1992	Vitaly Bergelson Daniel B. Shapiro
+ PDF	Ramsey Theory in Noncommutative Semigroups	1992	Vitaly Bergelson Neil Hindman
+ PDF	Ramsey theory in noncommutative semigroups	1992	Vitaly Bergelson Neil Hindman
+ PDF	Multiplicative subgroups of finite index in a ring	1992	Vitaly Bergelson Daniel B. Shapiro
+	Propagation of strong shock waves in locally inhomogeneous condensed media	1990	Vitaly Bergelson I. V. Nemchinov T. I. Orlova V. M. Khazins
+ PDF	Nonmetrizable Topological Dynamics and Ramsey Theory	1990	Vitaly Bergelson Neil Hindman
+	Change of regime in supersonic flow past an obstacle preceded by a thin channel of reduced density	1990	V. I. Artem'ev Vitaly Bergelson I. V. Nemchinov T. I. Orlova В. А. Смирнов V. M. Khazins
+ PDF	Nonmetrizable topological dynamics and Ramsey theory	1990	Vitaly Bergelson Neil Hindman
+	Self-similar flows upon instantaneous energy release in a gas containing channels of reduced density	1989	Vitaly Bergelson I. V. Nemchinov T. I. Orlova V. M. Khazins
+	Ultrafilters and multidimensional Ramsey Theorems	1989	Vitaly Bergelson Neil Hindman
+	Self-similar solutions in the case of instantaneous energy release in a gas containing low-density channels	1989	Vitaly Bergelson I. V. Nemchinov T. I. Orlova V. M. Khazins
+ PDF	Joint ergodicity for group actions	1988	Vitaly Bergelson Joseph Rosenblatt
+	Density versions of two generalizations of Schur's theorem	1988	Vitaly Bergelson Neil Hindman
+	A combinatorially large cell of a partition of N	1988	Vitaly Bergelson Neil Hindman
+	Precursor evolution during the interaction of a shock wave with a low-density layer	1988	V. I. Artem'ev Vitaly Bergelson А. А. Калмыков I. V. Nemchinov T. I. Orlova
+ PDF	Mixing actions of groups	1988	Vitaly Bergelson Joseph Rosenblatt
+	Weakly mixing actions of F∞ have infinite subgroup actions which are Bernoulli	1988	Vitaly Bergelson Daniel J. Rudolph
+ PDF	Weakly mixing PET	1987	Vitaly Bergelson
+	Self-similar development of the precursor before a shock wave interacting with a warm layer	1987	Vitaly Bergelson I. V. Nemchinov T. I. Orlova Vladimir A. Smirnov V. M. Khazins
+	Ergodic Ramsey theory	1987	Vitaly Bergelson
+	A density statement generalizing Schur's theorem	1986	Vitaly Bergelson
+ PDF	Mixing Sequences in Hilbert Spaces	1986	Daniel Berend Vitaly Bergelson
+	Characterization of joint ergodicity for non-commuting transformations	1986	Daniel Berend Vitaly Bergelson
+ PDF	Mixing sequences in Hilbert spaces	1986	Daniel Berend Vitaly Bergelson
+ PDF	Translation Properties of Sets of Positive Upper Density	1985	Vitaly Bergelson B. P. Weiss
+	Sets of Recurrence of Z<sup>m</sup> -Actions and Properties of Sets of Differences in Z<sup>m</sup>	1985	Vitaly Bergelson
+	Translation properties of sets of positive upper density	1985	Vitaly Bergelson Benjamin Weiss
+	Jointly ergodic measure-preserving transformations	1984	Daniel Berend Vitaly Bergelson
+ PDF	Ergodic and mixing sequences of transformations	1984	Daniel Berend Vitaly Bergelson
+	Radiation originating by the impact of a gas layer against an obstacle at very high velocities	1978	Vitaly Bergelson I. V. Nemchinov
+	Numerical calculation of the propagation in a gas of a plane subsonic radiation wave using the method of averaging the equations of radiative transfer	1977	Vitaly Bergelson T. V. Loseva I. V. Nemchinov
+	Numerical calculation of the propagation of a plane subsonic radiation wave through a gas in opposition to a flow of light radiation	1976	Vitaly Bergelson T. V. Loseva I. V. Nemchinov
+	Numerical calculation of the problem of propagation of a subsonic radiation wave over a gas in a direction counter to that of a light radiation flux	1974	Vitaly Bergelson T. V. Loseva I. V. Nemchinov
+	Plain self-similar motions of gas heated by radiation in the presence of strong re-emission	1973	Vitaly Bergelson I. V. Nemchinov

Common Coauthors

Coauthor	Papers Together
Neil Hindman	27
A. Leibman	24
I. V. Nemchinov	17
Joel Moreira	14
Emmanuel Lesigne	13
Randall McCutcheon	12
Ethan Ackelsberg	11
T. I. Orlova	11
V. M. Khazins	10
Andrew Best	9
Florian K. Richter	9
Y. G. Son	9
Tomasz Downarowicz	8
Andreu Ferré Moragues	8
Donald Robertson	8
Mariusz Lemańczyk	7
Daniel Berend	7
Terence Tao	6
Rigoberto Zelada	5
Daniel Glasscock	5
Joanna Kułaga-Przymus	5
Tamar Ziegler	5
Mathias Beiglböck	5
Michał Misiurewicz	4
Alexander Fish	4
Boris Mityagin	4
Isaac Kornfeld	4
Benjamin Weiss	4
Dona Strauss	4
Grigori Kolesnik	4
V. I. Artem'ev	4
Inger J. Håland Knutson	4
Manfred Einsiedler	3
Jimmy Tseng	3
Younghwan Son	3
Hillel Fürstenberg	3
F. K. Richter	3
Alexander Gorodnik	3
Alex Iosevich	3
Joseph Rosenblatt	3
Joseph Vandehey	3
T. V. Loseva	3
Carlos Gustavo Moreira	3
John H. Johnson	2
Mark Pollicott	2
Pavel Zorin‐Kranich	2
Bryna Kra	2
Imre Leader	2
Jake Huryn	2
Tomasz Łuczak	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg	102
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg	63
+	Finite sums from sequences within cells of a partition of N	1974	Neil Hindman	49
+ PDF	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman	47
+ PDF	Nonmetrizable topological dynamics and Ramsey theory	1990	Vitaly Bergelson Neil Hindman	33
+	Topological dynamics and combinatorial number theory	1978	Hillel Fürstenberg Bernard Weiss	32
+	An ergodic Szemerédi theorem for IP-systems and combinatorial theory	1985	Hillel Fürstenberg Yitzhak Katznelson	31
+	An ergodic IP polynomial Szemerédi theorem	2000	Vitaly Bergelson Randall McCutcheon	27
+	RECURRENCE IN ERGODIC THEORY AND COMBINATORIAL NUMBER THEORY	1982	L. N. Vaserstein	27
+ PDF	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi	27
+	Minimal idempotents and ergodic Ramsey theory	2003	Vitaly Bergelson	24
+	Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold	2004	A. Leibman	23
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	22
+ PDF	Weakly mixing PET	1987	Vitaly Bergelson	22
+	IP-sets and polynomial recurrence	1996	Vitaly Bergelson Hillel Fürstenberg Randall McCutcheon	22
+	Universal characteristic factors and Furstenberg averages	2006	Tamar Ziegler	22
+	Ergodic Ramsey Theory	2010	Vitaly Bergelson Mark Pollicott Klaus M. Schmidt	22
+ PDF	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra	21
+ PDF Chat	Set-Polynomials and Polynomial Extension of the Hales-Jewett Theorem	1999	Vitaly Bergelson A. Leibman	20
+ PDF	Distribution of values of bounded generalized polynomials	2007	Vitaly Bergelson A. Leibman	20
+	ERGODIC THEORY AND DIOPHANTINE PROBLEMS	2000	F. Blanchard F. Blanchard F. Blanchard	19
+	Ramsey Theory	1990	Ronald Graham	19
+ PDF	Weak mixing implies weak mixing of higher orders along tempered functions	2009	Vitaly Bergelson Inger J. Håland Knutson	19
+	Algebra in the Stone-Cech Compactification: Theory and Applications	1998	Neil Hindman Dona Strauss	16
+	Sets of Recurrence of Z<sup>m</sup> -Actions and Properties of Sets of Differences in Z<sup>m</sup>	1985	Vitaly Bergelson	16
+	On IP* sets and central sets	1994	Vitaly Bergelson Neil Hindman	16
+ PDF	On difference sets of sequences of integers. III	1978	Andràs Sárközy	15
+	Ultrafilters and combinatorial number theory	1979	Neil Hindman	15
+	An ergodic Szemerédi theorem for commuting transformations	1978	Hillel Fürstenberg Yitzhak Katznelson	15
+ PDF	Regularity and positional games	1963	Alfred W. Hales Robert I. Jewett	15
+	Central sets and a non-commutative Roth theorem	2007	Vitaly Bergelson Randall McCutcheon	14
+	Multiplicative structures in additively large sets	2005	Mathias Beiglböck Vitaly Bergelson Neil Hindman Dona Strauss	14
+ PDF	Partitions and sums and products of integers	1979	Neil Hindman	14
+	Convergence of multiple ergodic averages along polynomials of several variables	2005	A. Leibman	13
+	A density version of the Hales-Jewett theorem	1991	Hillel Fürstenberg Yitzhak Katznelson	13
+ PDF	Ultrafilters, IP sets, dynamics, and combinatorial number theory	2010	Vitaly Bergelson	13
+ PDF	Multiple recurrence and nilsequences	2005	Vitaly Bergelson Bernard Host Bryna Kra Imre Z. Ruzsa	13
+ PDF	The ergodic theoretical proof of Szemerédi’s theorem	1982	Hillel Fürstenberg Yitzhak Katznelson Donald Ornstein	13
+	Van der corput’s difference theorem	1978	Teturo Kamae Michel Mendès France	13
+	Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation	1967	Harry Furstenberg	13
+ PDF	Multiple ergodic averages for three polynomials and applications	2008	Nikos Frantzikinakis	12
+	Multiple Recurrence Theorem for Measure Preserving Actions of a Nilpotent Group	1998	A. Leibman	12
+	Polynomial Szemerédi theorems for countable modules over integral domains and finite fields	2005	Vitaly Bergelson A. Leibman Randall McCutcheon	12
+	Partitionen und lineare Gleichungssysteme	1973	Walter Deuber	12
+ PDF	Studien zur Kombinatorik	1933	Richard Rado	12
+	Combinatorial and Diophantine Applications of Ergodic Theory	2006	Vitaly Bergelson A. LeibmanM Anthony Quas Μáté Wierdl	12
+	Algebra in the Stone-Cech Compactification	2011	Neil Hindman Dona Strauss	12
+ PDF	Large sets of integers and hierarchy of mixing properties of measure preserving systems	2008	Vitaly Bergelson Tomasz Downarowicz	11
+	An Introduction to Ergodic Theory	1982	Peter Walters	11
+	Jointly ergodic measure-preserving transformations	1984	Daniel Berend Vitaly Bergelson	10