Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions

Harry Furstenberg

doi:10.1007/bf02813304

journal article Dec 01, 1977

Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions

Harry Furstenberg

Journal d'Analyse Mathématique Vol. 31 No. 1 pp. 204-256 · Springer Science and Business Media LLC

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References

8

[1]

H. Furstenberg,The structure of distal flows, Amer. J. Math.85 (1963), 477–515. 10.2307/2373137

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A. Y. Khintchine,Three Pearls of Number Theory, Graylock Press, New York, 1952.

[3]

Weakly wandering vectors and weakly independent partitions

Ulrich Krengel

Transactions of the American Mathematical Society 1972 10.1090/s0002-9947-1972-0290168-x

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G. W. Mackey,Induced representation of locally compact groups, I, Ann. of Math.55 (1952), 101–139. 10.2307/1969423

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K. F. Roth,Sur quelques ensembles d'entiers, C. R. Acad. Sci. Paris234 (1952), 388–390.

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E. Szemerédi,On acts of integers containing no four elements in arithmetic progression, Acta Math. Acad. Sci. Hungar.20 (1969), 89–104. 10.1007/bf01894569

[7]

On sets of integers containing k elements in arithmetic progression

E. Szemerédi

Acta Arithmetica 1975 10.4064/aa-27-1-199-245

[8]

R. Zimmer,Ergodic actions with generalized discrete spectrum, to appear.

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Details

Published: Dec 01, 1977
Vol/Issue: 31(1)
Pages: 204-256
License: View

Authors

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Harry Furstenberg

Cite This Article

Harry Furstenberg (1977). Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions. Journal d'Analyse Mathématique, 31(1), 204-256. https://doi.org/10.1007/bf02813304

Ergodic behavior of diagonal measures and a theorem of Szemerédi on arithmetic progressions

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