A nilpotent Roth theorem

By Vitaly Bergelson, Alexander Leibman. 2002

76 citations recorded by the source corpus.

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

View Paper: https://www.semanticscholar.org/paper/02f4d5729b5e73ad0145fb78a686912e3c8774d0

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

In Geometry and Topology

1. Nikos Frantzikinakis
2. M. N. Walsh
3. Tim Austin
4. Q. Chu
5. B. Host
6. Sourav Chatterjee
7. S. Shao
8. Xiangdong Ye

In Mathematical Physics

1. Nikos Frantzikinakis
2. M. N. Walsh
3. Tim Austin
4. Terence Tao
5. Q. Chu
6. B. Host

Citations in the corpus

• Norm convergence of nilpotent ergodic averages (2011, result): “We will make use of the following results of Leibman.”
• On the norm convergence of non-conventional ergodic averages (2008, methodology): “Given our original system (X, 6, μ, T ), we construct a sequence of self-joinings (X [1], 6[1], μ[1], T [1]), (X [2], 6[2], μ[2], T [2]), .”
• Some open problems on multiple ergodic averages (2011, background): “For instance, we mention a problem from [10]:”