1

Nonconventional Ergodic Averages and Nilmanifolds

Bernard Host and Bryna Kra
Journal:
Annals of Mathematics
Year:
2005
Language:
english
File:
PDF, 1.89 MB
english, 2005
2

Nilsequences and a structure theorem for topological dynamical systems

Bernard Host, Bryna Kra, Alejandro Maass
Journal:
Advances in Mathematics
Year:
2010
Language:
english
File:
PDF, 270 KB
english, 2010
3

Nonconventional ergodic averages and nilmanifolds

Host, Bernard, Kra, Bryna
Journal:
Annals of Mathematics
Year:
2005
Language:
english
File:
PDF, 84 KB
english, 2005
5

Multiple recurrence and nilsequences

Vitaly Bergelson, Bernard Host, Bryna Kra, Imre Ruzsa
Journal:
Inventiones mathematicae
Year:
2005
Language:
english
File:
PDF, 476 KB
english, 2005
7

Nonexpansive $\mathbb {Z}^2$-subdynamics and Nivat’s Conjecture

Cyr, Van, Kra, Bryna
Journal:
Transactions of the American Mathematical Society
Year:
2015
Language:
english
File:
PDF, 993 KB
english, 2015
8

Commentary on “Ergodic theory of amenable group actions”: Old and new

Kra, Bryna
Journal:
Bulletin of the American Mathematical Society
Year:
2018
Language:
english
File:
PDF, 100 KB
english, 2018
9

Complexity of nilsystems and systems lacking nilfactors

Host, Bernard, Kra, Bryna, Maass, Alejandro
Journal:
Journal d'Analyse Mathématique
Year:
2014
Language:
english
File:
PDF, 360 KB
english, 2014
12

ERGODIC AVERAGES FOR INDEPENDENT POLYNOMIALS AND APPLICATIONS

FRANTZIKINAKIS, NIKOS, KRA, BRYNA
Journal:
Journal of the London Mathematical Society
Year:
2006
Language:
english
File:
PDF, 168 KB
english, 2006
14

Convergence of polynomial ergodic averages

Bernard Host, Bryna Kra
Journal:
Israel Journal of Mathematics
Year:
2005
Language:
english
File:
PDF, 761 KB
english, 2005
15

Variations on topological recurrence

Host, Bernard, Kra, Bryna, Maass, Alejandro
Journal:
Monatshefte für Mathematik
Year:
2016
Language:
english
File:
PDF, 686 KB
english, 2016
16

Nil–Bohr sets of integers

HOST, BERNARD, KRA, BRYNA
Journal:
Ergodic Theory and Dynamical Systems
Year:
2011
Language:
english
File:
PDF, 434 KB
english, 2011
17

Uniformity seminorms on ℓ∞and applications

Bernard Host, Bryna Kra
Journal:
Journal d'Analyse Mathématique
Year:
2009
Language:
english
File:
PDF, 376 KB
english, 2009
18

An odd Furstenberg-Szemerédi theorem and quasi-affine systems

Bernard Host, Bryna Kra
Journal:
Journal d'Analyse Mathématique
Year:
2002
Language:
english
File:
PDF, 1.45 MB
english, 2002
19

Complexity of short rectangles and periodicity

Cyr, Van, Kra, Bryna
Journal:
European Journal of Combinatorics
Year:
2016
Language:
english
File:
PDF, 788 KB
english, 2016
20

Complexity and directional entropy in two dimensions

Broderick, Ryan, Cyr, Van, Kra, Bryna
Journal:
Israel Journal of Mathematics
Year:
2016
Language:
english
File:
PDF, 328 KB
english, 2016
21

The automorphism group of a shift of subquadratic growth

Cyr, Van, Kra, Bryna
Journal:
Proceedings of the American Mathematical Society
Year:
2015
Language:
english
File:
PDF, 186 KB
english, 2015
22

Free ergodic $\mathbb {Z}^2$-systems and complexity

Cyr, Van, Kra, Bryna
Journal:
Proceedings of the American Mathematical Society
Year:
2016
Language:
english
File:
PDF, 212 KB
english, 2016
23

The conjugating map for commutative groups of circle diffeomorphisms

Bryna Kra
Journal:
Israel Journal of Mathematics
Year:
1996
Language:
english
File:
PDF, 534 KB
english, 1996
24

Convergence of Conze–Lesigne averages

HOST, BERNARD, KRA, BRYNA
Journal:
Ergodic Theory and Dynamical Systems
Year:
2001
Language:
english
File:
PDF, 310 KB
english, 2001
25

A Generalization of Furstenberg's Diophantine Theorem

Bryna Kra
Journal:
Proceedings of the American Mathematical Society
Year:
1999
Language:
english
File:
PDF, 210 KB
english, 1999
30

Counting generic measures for a subshift of linear growth

Cyr, Van, Kra, Bryna
Journal:
Journal of the European Mathematical Society
Year:
2018
Language:
english
File:
PDF, 202 KB
english, 2018
31

Polynomial averages converge to the product of integrals

Nikos Frantzikinakis, Bryna Kra
Journal:
Israel Journal of Mathematics
Year:
2005
Language:
english
File:
PDF, 438 KB
english, 2005
32

10.1090/s0002-9939-99-04742-5

Kra, Bryna
Journal:
Proceedings of the American Mathematical Society
Year:
1999
Language:
english
File:
PDF, 194 KB
english, 1999
34

The automorphism group of a shift of slow growth is amenable

CYR, VAN, KRA, BRYNA
Journal:
Ergodic Theory and Dynamical Systems
Year:
2018
Language:
english
File:
PDF, 167 KB
english, 2018
35

THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY

CYR, VAN, KRA, BRYNA
Journal:
Forum of Mathematics, Sigma
Year:
2015
Language:
english
File:
PDF, 271 KB
english, 2015