O-minimal flows on nilmanifolds-Reference-Cited by-同舟云学术

O-minimal flows on nilmanifolds

Published:2021-12-01 Issue:18 Volume:170 Page:
ISSN:0012-7094
Container-title:Duke Mathematical Journal
language:
Short-container-title:Duke Math. J.

Author:

Peterzil Ya’acov¹,Starchenko Sergei²

Affiliation:

1. Department of Mathematics, University of Haifa, Haifa, Israel

2. Department of Mathematics, University of Notre Dame, Notre Dame, Indiana, USA

Publisher

Duke University Press

Subject

General Mathematics

Reference22 articles.

1. L. J. Corwin and F. P. Greenleaf, Representations of Nilpotent Lie Groups and Their Applications, I: Basic Theory and Examples, Cambridge Stud. Adv. Math. 18, Cambridge Univ. Press, Cambridge, 1990.

2. H. Furstenberg, “The unique ergodicity of the horocycle flow” in Recent Advances in Topological Dynamics (New Haven, 1972), Lecture Notes in Math. 318, Springer, Berlin, 1973, 95–115.

3. A. Leibman, Pointwise convergence of ergodic averages for polynomial actions of ${\mathbb{Z}^{d}}$ by translations on a nilmanifold, Ergodic Theory Dynam. Systems 25 (2005), no. 1, 215–225.

4. A. Leibman, Rational sub-nilmanifolds of a compact nilmanifold, Ergodic Theory Dynam. Systems 26 (2006), no. 3, 787–798.

5. E. Lesigne, Sur une nil-variété, les parties minimales associées à une translation sont uniquement ergodiques, Ergodic Theory Dynam. Systems 11 (1991), no. 2, 379–391.

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