Nikos Frantzikinakis

Discrete Mathematics and Combinatorics · 2004–2017

A researcher in the Science corpus: 9 papers; trusts 30 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 104 citations into it; #242 of 2,017 by trust here, #158 by citations
• Geometry and Topology — 85 citations into it; #2,939 of 7,422 by trust here, #3,228 by citations
• Mathematical Physics — 84 citations into it; #1,593 of 8,562 by trust here, #1,398 by citations
• Algebra and Number Theory — 48 citations into it; #566 of 2,864 by trust here, #469 by citations
• Statistics and Probability — 12 citations into it
• Applied Mathematics — 8 citations into it
• Computational Theory and Mathematics — 8 citations into it

Whom Nikos Frantzikinakis trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Terence Tao
2. Ben Joseph Green
3. B. Host
4. T. Ziegler
5. Bryna Kra
6. Alexander Leibman
7. William T. Gowers
8. Tim Austin
9. Vitaly Bergelson
10. M. N. Walsh

Who trusts Nikos Frantzikinakis overall

1. Terence Tao
2. Q. Chu
3. B. Host
4. Bryna Kra
5. T. Ziegler
6. M. N. Walsh
7. George Costakis
8. Ben Krause
9. Vitaly Bergelson
10. Sébastien Ferenczi

Papers from Nikos Frantzikinakis's perspective

Ordered by how strongly the researchers Nikos Frantzikinakis trusts endorse each paper. Same corpus, a different order for every researcher.

1. Universal characteristic factors and Furstenberg averages
2. Polynomial averages converge to the product of integrals
3. Convergence of Conze–Lesigne averages (Ergodic Theory and Dynamical Systems)
4. Nonconventional ergodic averages and nilmanifolds
5. Möbius-Walsh correlation bounds and an estimate of Mauduit and Rivat
6. Convergence of multiple ergodic averages along polynomials of several variables
7. Multiple recurrence and nilsequences
8. Decompositions, approximate structure, transference, and the Hahn–Banach theorem
9. Mobius Randomness and Dynamics
10. The Mobius function is strongly orthogonal to nilsequences

Their papers

• The logarithmic Sarnak conjecture for ergodic weights (2017) — 76 citations
• Higher order Fourier analysis of multiplicative functions and applications (2014) — 87 citations
• Some open problems on multiple ergodic averages (2011) — 65 citations
• Multiple recurrence and convergence for hardy sequences of polynomial growth (2009) — 52 citations
• Ergodic averages of commuting transformations with distinct degree polynomial iterates (2009) — 67 citations
• Multiple recurrence and convergence for sequences related to the prime numbers (2006) — 65 citations
• Multiple ergodic averages for three polynomials and applications (2006) — 63 citations
• Convergence of multiple ergodic averages for some commuting transformations (2004) — 50 citations
• Polynomial averages converge to the product of integrals (2004) — 69 citations