Pro-Nilfactors of the Space of Arithmetic Progressions in Topological Dynamical Systems-Reference-Cited by-同舟云学术

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Pro-Nilfactors of the Space of Arithmetic Progressions in Topological Dynamical Systems

Published:2022-06-20 Issue: Volume: Page:
ISSN:1040-7294
Container-title:Journal of Dynamics and Differential Equations
language:en
Short-container-title:J Dyn Diff Equat

Author:

Lian Zhengxing^ORCID,Qiu Jiahao

Funder

the Xiamen Youth Innovation Foundation

the presidential researchfund of Xiamen University

NNSF of China

China Post-doctoral Grant

Publisher

Springer Science and Business Media LLC

Subject

Analysis

Link

https://link.springer.com/content/pdf/10.1007/s10884-022-10183-w.pdf

Reference16 articles.

1. Auslander, L., Green, L., Hahn, F.: Flows on homogeneous spaces. Annals of Math. Studies 53, Princeton (1963)

2. Bergelson, V., Host, B., Kra, B.: Multiple recurrence and nilsequences, with an appendix by Imre Ruzsa. Invent. Math. 160(2), 261–303 (2005)

3. Dong, P., Donoso, S., Maass, A., Shao, S., Ye, X.: Infinite-step nilsystems, independence and complexity. Ergodic Theory Dynam. Systems 33(1), 118–143 (2013)

4. Furstenberg, H.: Recurrence in Ergodic Theory and Combinatorial Number Theory. Princeton Univ. Press, Princeton, NJ (1981)

5. Glasner, E.: Topological ergodic decompositions and applications to products of powers of a minimal transformation. J. Anal. Math. 64, 241–262 (1994)

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