Uniformity seminorms on ℓ∞ and applications

By B. Host, Bryna Kra. 2009

86 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/2f9516bd67ef8b3105c84c6eb954afa0e21e9231

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Nikos Frantzikinakis
2. B. Host
3. Terence Tao
4. Bryna Kra
5. T. Ziegler
6. Tim Austin
7. William T. Gowers
8. Ben Joseph Green

In Discrete Mathematics and Combinatorics

1. Nikos Frantzikinakis
2. B. Host
3. Terence Tao
4. Q. Chu
5. T. Ziegler
6. Bryna Kra
7. M. N. Walsh
8. Tim Austin

In Geometry and Topology

1. Nikos Frantzikinakis
2. B. Host
3. Q. Chu
4. Terence Tao
5. T. Ziegler
6. Bryna Kra
7. Ben Joseph Green
8. Tim Austin

Citations in the corpus

• Higher order Fourier analysis of multiplicative functions and applications (2014, result): “uence of bounded complexity. This property is much weaker than (i) even when s= 2 and insufficient for our applications. Similar comments apply for analogous decomposition results for infinite sequences [45] that were motivated by structural results in ergodic theory [44]. Despite its clean and succinc”
• Some open problems on multiple ergodic averages (2011, background): “lent places to look for such topics, for instance, the survey articles of V. Bergelson [24, 27, 28] cover a lot of related material and contain an extensive bibliography up to 2006. Linear sequences: [2, 3, 5, 6, 7, 9, 10, 14, 15, 16, 17, 18, 25, 56, 33, 36, 37, 59, 60, 63, 64, 65, 68, 69, 73, 75, 7”