Pointwise convergence of ergodic averages along cubes

By I. Assani. 2010

53 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/639359d2242be648f6c023a78306e96cca6fa735

How researchers see this paper

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

In Discrete Mathematics and Combinatorics

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

In Geometry and Topology

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

In Mathematical Physics

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

Citations in the corpus

• Ergodic averages of commuting transformations with distinct degree polynomial iterates (2009, background): “2] that the averages AN (f) converge in L(2)(μ) (in fact by [3] they converge pointwise but we do not need this strengthening), and we define Dkf = lim N→∞ AN (f), where the limit is taken on L(2)(μ).”
• 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”