Bryna Kra

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All published works

Action	Title	Year	Authors
+	Strong approximations of shifts and the characteristic measures problem	2024	Van Cyr Bryna Kra Samuel Petite
+ PDF	A proof of Erdős’s 𝐵+𝐵+𝑡 conjecture	2024	Bryna Kra Joel Moreira Florian Richter Donald Robertson
+	Bohr recurrence and density of non-lacunary semigroups of ℕ	2024	Nikos Frantzikinakis Bernard Host Bryna Kra
+ PDF Chat	Bohr recurrence and density of non-lacunary semigroups of $\mathbb{N}$	2024	Nikos Frantzikinakis Bryna Kra Bernard Host
+ PDF Chat	Chaotic almost minimal actions	2024	Van Cyr Bryna Kra Scott Schmieding
+	Infinite sumsets in sets with positive density	2023	Bryna Kra Joel Moreira Florian Richter Donald Robertson
+	Strong Approximations of Shifts and the Characteristic Measures Problem	2023	Van Cyr Bryna Kra Samuel Petite
+	Problems on infinite sumset configurations in the integers and beyond	2023	Bryna Kra Joel Moreira Florian K. Richter Donald Robertson
+ PDF Chat	Characteristic measures for language stable subshifts	2022	Van Cyr Bryna Kra
+ PDF Chat	The complexity threshold for the emergence of Kakutani inequivalence	2022	Van Cyr Aimee Johnson Bryna Kra Ayşe Şahı̇n
+ PDF	Boshernitzan’s condition, factor complexity, and an application	2022	Van Cyr Bryna Kra
+ PDF	None	2022	Van Cyr Bryna Kra
+	Infinite Sumsets in Sets with Positive Density	2022	Bryna Kra Joel Moreira Florian K. Richter Donald Robertson
+	A proof of Erdős's $B+B+t$ conjecture	2022	Bryna Kra Joel Moreira Florian K. Richter Donald Robertson
+ PDF Chat	The Stabilized Automorphism Group of a Subshift	2021	Yair Hartman Bryna Kra Scott Schmieding
+ PDF	A prime system with many self-joinings	2021	Jon Chaika Bryna Kra
+	Characteristic measures for language stable subshifts	2021	Van Cyr Bryna Kra
+ PDF Chat	Realizing ergodic properties in zero entropy subshifts	2020	Van Cyr Bryna Kra
+ PDF	Polygonal Z2‐subshifts	2020	John Franks Bryna Kra
+	The stabilized automorphism group of a subshift	2020	Yair Hartman Bryna Kra Scott Schmieding
+	The stabilized automorphism group of a subshift	2020	Yair Hartman Bryna Kra Scott Schmieding
+	Boshernitzan's condition, factor complexity, and an application	2020	Van Cyr Bryna Kra
+	The complexity threshold for the emergence of Kakutani inequivalence	2020	Van Cyr Aimee Johnson Bryna Kra Ayşe Şahı̇n
+	Realizing ergodic properties in zero entropy subshifts	2019	Van Cyr Bryna Kra
+	A prime system with many self-joinings	2019	Jon Chaika Bryna Kra
+	Realizing ergodic properties in zero entropy subshifts	2019	Van Cyr Bryna Kra
+	A prime system with many self-joinings	2019	Jon Chaika Bryna Kra
+ PDF	The automorphism group of a shift of slow growth is amenable	2018	Van Cyr Bryna Kra
+	Nilpotent Structures in Ergodic Theory	2018	Bernard Host Bryna Kra
+	The ergodic structure theorem	2018	Bernard Host Bryna Kra
+	Uniformity seminorms on ℓ^{∞} and pointwise convergence of cubic averages	2018	Bernard Host Bryna Kra
+	Inverse results for uniformity seminorms and applications	2018	Bernard Host Bryna Kra
+ PDF	Nilmanifolds	2018	Bernard Host Bryna Kra
+	Arithmetic progressions in nilsystems	2018	Bernard Host Bryna Kra
+	Cubic structures in nilmanifolds	2018	Bernard Host Bryna Kra
+ PDF	Polynomials in nilmanifolds and nilsystems	2018	Bernard Host Bryna Kra
+ PDF Chat	Counting generic measures for a subshift of linear growth	2018	Van Cyr Bryna Kra
+ PDF Chat	Equidistribution of dilated curves on nilmanifolds	2018	Bryna Kra Nimish A. Shah Wenbo Sun
+ PDF	Commentary on “Ergodic theory of amenable group actions”: Old and new	2018	Bryna Kra
+ PDF	Distortion and the automorphism group of a shift	2018	Van Cyr John Franks Bryna Kra Samuel Petite
+	The spacetime of a shift endomorphism	2017	Van Cyr John Franks Bryna Kra
+	Distortion and the automorphism group of a shift	2016	Van Cyr John Franks Bryna Kra Samuel Petite
+	The spacetime of a shift endomorphism	2016	Van Cyr John Franks Bryna Kra
+ PDF	The automorphism group of a minimal shift of stretched exponential growth	2016	Bryna Kra Van Cyr
+	Free ergodic ℤ²-systems and complexity	2016	Van Cyr Bryna Kra
+ PDF Chat	Complexity and directional entropy in two dimensions	2016	Ryan Broderick Van Cyr Bryna Kra
+	Flashbacks of a Mathematical Life	2016	Alexandra Bellow Bryna Kra
+	Free ergodic $\mathbb{Z}^2$-systems and complexity	2016	Van Cyr Bryna Kra
+	Distortion and the automorphism group of a shift	2016	Van Cyr John Franks Bryna Kra Samuel Petite
+	The spacetime of a shift endomorphism	2016	Van Cyr John Franks Bryna Kra
+	Free ergodic $\mathbb{Z}^2$-systems and complexity	2016	Van Cyr Bryna Kra
+	Complexity of short rectangles and periodicity	2015	Van Cyr Bryna Kra
+	The automorphism group of a minimal shift of stretched exponential growth	2015	Van Cyr Bryna Kra
+	Counting generic measures for a subshift of linear growth	2015	Van Cyr Bryna Kra
+ PDF	Variations on topological recurrence	2015	Bernard Host Bryna Kra Alejandro Maass
+ PDF Chat	The automorphism group of a shift of subquadratic growth	2015	Van Cyr Bryna Kra
+ PDF	THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY	2015	Van Cyr Bryna Kra
+	Nonexpansive $\mathbb {Z}^2$-subdynamics and Nivat’s Conjecture	2015	Van Cyr Bryna Kra
+	Counting generic measures for a subshift of linear growth	2015	Van Cyr Bryna Kra
+	The automorphism group of a minimal shift of stretched exponential growth	2015	Van Cyr Bryna Kra
+	The automorphism group of a shift of linear growth: beyond transitivity	2014	Van Cyr Bryna Kra
+ PDF Chat	Complexity of nilsystems and systems lacking nilfactors	2014	Bernard Host Bryna Kra Alejandro Maass
+	Complexity and directional entropy in two dimensions	2014	Ryan Broderick Van Cyr Bryna Kra
+	Variations on topological recurrence	2014	Bernard Host Bryna Kra Alejandro Maass
+	The automorphism group of a shift of subquadratic growth	2014	Van Cyr Bryna Kra
+	Variations on topological recurrence	2014	Bernard Host Bryna Kra Alejandro Maass
+	The automorphism group of a shift of linear growth: beyond transitivity	2014	Van Cyr Bryna Kra
+	The automorphism group of a shift of subquadratic growth	2014	Van Cyr Bryna Kra
+	Complexity and directional entropy in two dimensions	2014	Ryan Broderick Van Cyr Bryna Kra
+	Complexity of short rectangles and periodicity	2013	Van Cyr Bryna Kra
+ PDF Chat	The polynomial multidimensional Szemerédi Theorem along shifted primes.	2013	Nikos Frantzikinakis Bernard Host Bryna Kra
+	Complexity of short rectangles and periodicity	2013	Van Cyr Bryna Kra
+	Low complexity Alpern Lemmas for R^d actions	2012	Bryna Kra Anthony Quas Ayşe Şahı̇n
+ PDF Chat	The polynomial multidimensional Szemerédi Theorem along shifted primes	2012	Nikos Frantzikinakis Bernard Host Bryna Kra
+	Systems lacking higher order nilfactors	2012	Bernard Host Bryna Kra Alejandro Maass
+ PDF	A point of view on Gowers uniformity norms	2012	Bernard Host Bryna Kra
+	Nonexpansive Z^2 subdynamics and Nivat's conjecture	2012	Van Cyr Bryna Kra
+	Rudolph's Two-Step Coding Theorem and Alpern's Lemma for R^d Actions	2012	Bryna Kra Anthony Quas Ayşe Şahı̇n
+	Ergodic Theory, Introduction to	2011	Bryna Kra
+ PDF	Poincaré recurrence and number theory: thirty years later	2011	Bryna Kra
+	Nil-Bohr sets of integers	2011	Bernard Host Bryna Kra
+	Nil-Bohr sets of integers	2011	Bernard Host Bryna Kra
+ PDF	Nil-Bohr Sets of Integers	2011	Bernard Host Bryna Kra
+	Nil-Bohr sets of integers	2011	Bernard Host Bryna Kra
+ PDF	Nil-Bohr Sets of Integers	2011	Bernard Host Bryna Kra
+	Nil-Bohr sets of integers	2011	Bernard Host Bryna Kra
+	Nil-Bohr Sets of Integers	2011	Bernard Host Bryna Kra
+ PDF	Nil-Bohr Sets of Integers	2011	Bernard Host Bryna Kra
+ PDF	Nil-Bohr Sets of Integers	2011	Bernard Host Bryna Kra
+	A point of view on Gowers uniformity norms	2010	Bernard Host Bryna Kra
+	The polynomial multidimensional Szemerédi Theorem along shifted primes	2010	Bernard Host Nikos Frantzikinakis Bryna Kra
+ PDF Chat	Nilsequences and a structure theorem for topological dynamical systems	2009	Bernard Host Bryna Kra Alejandro Maass
+ PDF	Nil–Bohr sets of integers	2009	Bernard Host Bryna Kra
+	Nilsequences and a structure theorem for topological dynamical systems	2009	Bernard Host Bryna Kra Alejandro Maass
+ PDF Chat	Uniformity seminorms on ℓ∞ and applications	2009	Bernard Host Bryna Kra
+	Nil-Bohr Sets of Integers	2009	Bernard Host Bryna Kra
+	UNIFORMITY SEMINORMS ON l(infinity) AND APPLICATIONS	2009	Bernard Host Bryna Kra
+	Nil-Bohr Sets of Integers	2009	Bernard Host Bryna Kra
+	Ergodic Theory, Introduction to	2009	Bryna Kra
+ PDF	Parallelepipeds, nilpotent groups and Gowers norms	2008	Bernard Host Bryna Kra
+ PDF	Analysis of two step nilsequences	2008	Bernard Host Bryna Kra
+ PDF	Ergodic methods in additive combinatorics	2007	Bryna Kra
+	From combinatorics to ergodic theory and back again	2007	Bryna Kra
+ PDF	Multiple recurrence and convergence for sequences related to the prime numbers	2007	Nikos Frantzikinakis Bernard Host Bryna Kra
+	Uniformity seminorms on $\ell^\infty$ and applications	2007	Bryna Kra Bernard Host
+	Analysis of two step nilsequences	2007	Bernard Host Bryna Kra
+ PDF Chat	ERGODIC AVERAGES FOR INDEPENDENT POLYNOMIALS AND APPLICATIONS	2006	Nikos Frantzikinakis Bryna Kra
+	Multiple recurence and convergence for sequences related to the prime numbers	2006	Nikos Frantzikinakis Bernard Host Bryna Kra
+	Ergodic Methods in Additive Combinatorics	2006	Bryna Kra
+	Parallelepipeds, Nilpotent Groups, and Gowers Norms	2006	Bernard Host Bryna Kra
+ PDF Chat	Polynomial averages converge to the product of integrals	2005	Nikos Frantzikinakis Bryna Kra
+ PDF	Convergence of polynomial ergodic averages	2005	Bernard Host Bryna Kra
+ PDF	The Green-Tao Theorem on arithmetic progressions in the primes: an ergodic point of view	2005	Bryna Kra
+ PDF	Convergence of multiple ergodic averages for some commuting transformations	2005	Nikos Frantzikinakis Bryna Kra
+ PDF	Multiple recurrence and nilsequences	2005	Vitaly Bergelson Bernard Host Bryna Kra Imre Z. Ruzsa
+ PDF	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra
+	Averaging Along Cubes	2004	Bernard Host Bryna Kra
+	Convergence of multiple ergodic averages for some commuting transformations	2004	Nikos Frantzikinakis Bryna Kra
+	Ergodic Averages for Independent Polynomials and Applications	2004	Nikos Frantzikinakis Bryna Kra
+	Polynomial Averages Converge to the Product of Integrals	2004	Nikos Frantzikinakis Bryna Kra
+ PDF	An odd Furstenberg-Szemerédi theorem and quasi-affine systems	2002	Bernard Host Bryna Kra
+ PDF	Diophantine classes, dimension and Denjoy maps	2002	Bryna Kra Jörg Schmeling
+	DIOPHANTINE NUMBERS, DIMENSION AND DENJOY MAPS	2002	Bryna Kra
+	Convergence of Conze–Lesigne averages	2001	Bernard Host Bryna Kra
+	A generalization of Furstenberg’s Diophantine Theorem	1999	Bryna Kra
+	The conjugating map for commutative groups of circle diffeomorphisms	1996	Bryna Kra
+ PDF	Iterated Spectra of Numbers—Elementary, Dynamical, and Algebraic Approaches	1996	Vitaly Bergelson Neil Hindman Bryna Kra

Common Coauthors

Coauthor	Papers Together
Bernard Host	46
Van Cyr	42
Nikos Frantzikinakis	13
Alejandro Maass	7
John Franks	7
Donald Robertson	5
Samuel Petite	5
Joel Moreira	5
Ayşe Şahı̇n	4
Yair Hartman	3
Jon Chaika	3
Scott Schmieding	3
Florian K. Richter	3
Anthony Quas	2
Aimee Johnson	2
Vitaly Bergelson	2
Ryan Broderick	2
Bernard Host	2
Florian Richter	2
Imre Z. Ruzsa	1
Alexandra Bellow	1
Ryan Broderick	1
Van Cyr	1
Scott Schmieding	1
Nimish A. Shah	1
Bernard Host	1
Neil Hindman	1
Wenbo Sun	1
Jörg Schmeling	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions	1977	Harry Furstenberg	26
+ PDF	Nonconventional ergodic averages and nilmanifolds	2005	Bernard Host Bryna Kra	22
+	Recurrence in Ergodic Theory and Combinatorial Number Theory	1981	Harry Furstenberg	19
+	Flows on Homogeneous Spaces.	1964	Robert Ellis L. Auslander L. Green F. Hahn Lawrence Markus William S. Massey Leon A. Greenberg	15
+	Endomorphisms and automorphisms of the shift dynamical system	1969	Gustav A. Hedlund	15
+ PDF	Convergence of polynomial ergodic averages	2005	Bernard Host Bryna Kra	14
+ PDF	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems	1996	Vitaly Bergelson A. Leibman	14
+	Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold	2004	A. Leibman	13
+ PDF	The primes contain arbitrarily long arithmetic progressions	2008	Benjamin Green Terence Tao	13
+	Convergence of multiple ergodic averages along polynomials of several variables	2005	A. Leibman	12
+	A new proof of Szemerédi's theorem	2001	W. T. Gowers	11
+ PDF	Weakly mixing PET	1987	Vitaly Bergelson	11
+	Uniform distribution of sequences	1974	L. Kuipers Harald Niederreiter	10
+ PDF	Multiple recurrence and nilsequences	2005	Vitaly Bergelson Bernard Host Bryna Kra Imre Z. Ruzsa	9
+ PDF	THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY	2015	Van Cyr Bryna Kra	8
+	Convergence of Conze–Lesigne averages	2001	Bernard Host Bryna Kra	8
+	Sur une nil-variété, les parties minimales associées à une translation sont uniquement ergodiques	1991	Emmanuel Lesigne	8
+ PDF	The automorphism group of a shift of finite type	1988	Mike Boyle Douglas Lind Daniel J. Rudolph	8
+ PDF	AN INVERSE THEOREM FOR THE GOWERS $U^3(G)$ NORM	2008	Ben Green Terence Tao	8
+ PDF	Linear equations in primes	2010	Ben Green Terence Tao	7
+ PDF	Periodic points and automorphisms of the shift	1987	Mike Boyle Wolfgang Krieger	7
+	Flows on Homogeneous Spaces. (AM-53)	1963	Louis Auslander F. Hahn L. Green	7
+ PDF	Théorèmes ergodiques pour des mesures diagonales	1984	Jean-Pierre Conze Emmanuel Lesigne	7
+	Universal characteristic factors and Furstenberg averages	2006	Tamar Ziegler	7
+	Periodicity and local complexity	2004	Anthony Quas Luca Q. Zamboni	7
+	An Introduction to Symbolic Dynamics and Coding	2010	Douglas Lind Brian Marcus	7
+ PDF	Multiple recurrence and convergence for sequences related to the prime numbers	2007	Nikos Frantzikinakis Bernard Host Bryna Kra	7
+	Ergodic Properties of Affine Transformations and Flows on Nilmanifolds	1969	William Parry	7
+ PDF	The automorphism group of a minimal shift of stretched exponential growth	2016	Bryna Kra Van Cyr	7
+ PDF	On difference sets of sequences of integers. III	1978	Andràs Sárközy	7
+ PDF	On sets of integers containing k elements in arithmetic progression	1975	Endre Szemerédi	7
+	Dynamical Systems on Nilmanifolds	1970	William Parry	6
+	Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation	1967	Harry Furstenberg	6
+	Pointwise ergodic theorem along the prime numbers	1988	Μáté Wierdl	6
+ PDF Chat	On automorphism groups of low complexity subshifts	2015	Sebastián Donoso Fabien Durand Alejandro Maass Samuel Petite	6
+	An ergodic Szemerédi theorem for commuting transformations	1978	Hillel Fürstenberg Yitzhak Katznelson	6
+	Polynomial Sequences in Groups	1998	A. Leibman	6
+	Strict Ergodicity and Transformation of the Torus	1961	Hillel Fürstenberg	6
+ PDF Chat	Polynomial averages converge to the product of integrals	2005	Nikos Frantzikinakis Bryna Kra	5
+	A unique ergodicity of minimal symbolic flows with linear block growth	1984	Michael Boshernitzan	5
+ PDF	Analysis of two step nilsequences	2008	Bernard Host Bryna Kra	5
+	The rectangle complexity of functions on two-dimensional lattices	2002	J. Sander R. Tijdeman	5
+	Nonexpansive $\mathbb {Z}^2$-subdynamics and Nivat’s Conjecture	2015	Van Cyr Bryna Kra	5
+	Piecewise-Bohr Sets of Integers and Combinatorial Number Theory	2007	Vitaly Bergelson Hillel Fürstenberg Benjamin Weiss	5
+ PDF	Distribution of values of bounded generalized polynomials	2007	Vitaly Bergelson A. Leibman	5
+	Introduction to the modern theory of dynamical systems	1996	Anatole Katok Boris Hasselblatt	5
+	The complexity of functions on lattices	2000	J. Sander R. Tijdeman	5
+ PDF Chat	Uniformity seminorms on ℓ∞ and applications	2009	Bernard Host Bryna Kra	4
+	An inverse theorem for the Gowers U^3 norm	2005	Ben Green Terence Tao	4
+ PDF	Aspects of uniformity in recurrence	2000	Vitaly Bergelson Bernard Host Randall McCutcheon Franiçois Parreau	4