Equidistribution of dilations of polynomial curves in nilmanifolds

DOI10.1090/S0002-9939-09-09836-0zbMath1165.60004arXiv0809.4519OpenAlexW2020180270MaRDI QIDQ3629435

Michael Björklund, Alexander Fish

Publication date: 27 May 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.4519

Mathematics Subject Classification ID

Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (2)

On the image in the torus of sparse points on dilating analytic curves ⋮ Counting and equidistribution in Heisenberg groups

Cites Work

• The e-invariant and the spectrum of the Laplacian for compact nilmanifolds covered by Heisenberg groups
• Limiting distributions of curves under geodesic flow on hyperbolic manifolds
• Badly approximable systems of linear forms
• The Behavior Under Projection of Dilating Sets in a Covering Space
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• Continuous bounded cohomology of locally compact groups
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