Ergodic methods in additive combinatorics

Ergodic methods in additive combinatorics (2006)

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by Bryna Kra

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@MISC{Kra06ergodicmethods,
    author = {Bryna Kra},
    title = {Ergodic methods in additive combinatorics},
    year = {2006}
}

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Abstract

Citations

226	Uniform Distributions of Sequences - Kuipers, Niederreiter - 1974
221	Topics in Ergodic Theory - Sinai - 1994
192	Recurrence in Ergodic Theory and Combinatorial Number Theory - Furstenberg - 1981
187	Les méthodes nouvelles de la mécanique céleste - Poincaré - 1892
171	On sets of integers containing no k elements in arithmetic progression - Szemerédi - 1975
122	Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions - Furstenberg - 1977
111	The primes contain arbitrarily long arithmetic progressions - Green, Tao
107	A new proof of Szemerédi’s theorem - Gowers
78	On Raghunathan’s measure conjecture - Ratner - 1991
71	Polynomial extensions of van der Waerden’s and Szemerédi’s theorems - Bergelson, Leibman - 1996
65	Strict ergodicity and transformation of the torus - Furstenberg - 1961
62	On some sequences of integers - Erdős, Turán - 1936
60	Non conventional ergodic averages and nilmanifolds - Host, Kra - 2005
58	An ergodic Szemerédi Theorem for commuting transformations - Furstenberg, Katznelson - 1978
39	Universal characteristic factors and Furstenberg averages - Ziegler - 2007
36	A Szemerédi-type regularity lemma in abelian groups, with applications. Geometric And Functional Analysis, 15(2):340–376, 2005. [Gre05b] Ben Green. Finite field models in additive combinatorics - Green
29	On sets of integers which contain no three in arithmetic progression - Behrend - 1946
24	On the maximal ergodic theorem for certain subsets of the positive integers - Bourgain - 1988
22	Pointwise convergence of ergodic averages for polynomial actions of Z d by translations on a nilmanifold. Ergodic Th - Leibman
19	An ergodic Szemerédi theorem for IPsystems and combinatorial theory - Furstenberg, Katznelson - 1985
18	An inverse theorem for the Gowers U 3 norm - Green, Tao
18	Convergence of polynomial ergodic averages - Host, Kra
18	Ergodic properties of affine transformations and flows on nilmanifolds - Parry - 1969
17	A contribution to the theory of groups of prime-power order - Hall - 1933
17	Convergence of multiple ergodic averages along polynomials of several variables - Leibman - 2005
17	Invariant measures and orbit closures on homogenous spaces for actions of subgroups generated by unipotent elements - Shah - 1996
15	The Green-Tao theorem on arithmetic progressions in the primes: an ergodic point of view - Kra
15	Proof of the quasi-ergodic hypothesis - Neumann - 1932
14	Sur un théorème ergodique pour des mesures diagonales - Conze, Lesigne - 1988
13	Ergodic Ramsey Theory – an update, Ergodic Theory of Z d -actions (edited by M - Bergelson - 1996
13	A nonconventional ergodic theorem for a nilsystem, Ergodic Th - Ziegler
12	Polynomial sequences in groups - Leibman - 1998
11	Operator methods in classical mechanics - Halmos, Neumann - 1942
11	Eine Verschärfung des Poincaréschen “Wiederkehrsatzes - Khintchine - 1934
11	On difference sets of integers III - Sárközy - 1978
9	with an appendix by I. Ruzsa. Multiple recurrence and nilsequences - Bergelson, Host, et al.
9	Polynomial averages converge to the product of integrals - Frantzikinakis, Kra
9	Convergence of multiple ergodic averages for some commuting ransformations - Frantzikinakis, Kra
9	An inverse theorem for the Gowers U3 norm - Green, Tao - 2005
8	Dynamical Systems of Continuous Spectra - Koopman, Neumann - 1932
7	Nonconventional ergodic averages - Furstenberg - 1990
6	The multifarious Poincare recurrence theorem. Descriptive set theory and dynamical systems - Bergelson
5	Weakly mixing PET. Erg - Bergelson - 1987
5	Convergence of Conze-Lesigne Averages - Host, Kra
5	Sur une nil-variété, les parties minimales associées à une translation sont uniquement ergodiques - Lesigne - 1991
5	Sur les commutateurs - Petresco - 1954
5	On difference sets of integers - Sárközy - 1978
4	Quadratic uniformity of the Möbius function - Green, Tao
3	Ergodic averages for independent polynomials and applications - Frantzikinakis, Kra
3	From combinatorics to ergodic theory and back again - Kra - 2006