B. Host

Discrete Mathematics and Combinatorics · 2001–2018

A researcher in the Science corpus: 14 papers; trusts 23 researchers and is trusted by 24 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 91 citations into it; #41 of 2,017 by trust here, #21 by citations
• Mathematical Physics — 75 citations into it; #655 of 8,562 by trust here, #525 by citations
• Geometry and Topology — 64 citations into it; #505 of 7,422 by trust here, #311 by citations
• Algebra and Number Theory — 46 citations into it; #211 of 2,864 by trust here, #139 by citations
• Computational Theory and Mathematics — 12 citations into it
• Applied Mathematics — 8 citations into it
• Statistics and Probability — 8 citations into it; #3,215 of 12,932 by trust here, #6,552 by citations

Whom B. Host trusts overall

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

1. Ben Joseph Green
2. Bryna Kra
3. Terence Tao
4. Nikos Frantzikinakis
5. Alexander Leibman
6. William T. Gowers
7. T. Ziegler
8. Jean Bourgain
9. Vitaly Bergelson
10. Tim Austin

Who trusts B. Host overall

1. Nikos Frantzikinakis
2. Terence Tao
3. Q. Chu
4. Ben Joseph Green
5. T. Ziegler
6. Tim Austin
7. Bryna Kra
8. S. Shao
9. M. N. Walsh
10. William T. Gowers

Papers from B. Host's perspective

Ordered by how strongly the researchers B. Host 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. Möbius-Walsh correlation bounds and an estimate of Mauduit and Rivat
4. Decompositions, approximate structure, transference, and the Hahn–Banach theorem
5. Mobius Randomness and Dynamics
6. Multiplicative functions in short intervals
7. THE LOGARITHMICALLY AVERAGED CHOWLA AND ELLIOTT CONJECTURES FOR TWO-POINT CORRELATIONS (Forum of Mathematics, Pi)
8. Multiple recurrence and convergence for sequences related to the prime numbers
9. Linear equations in primes
10. Convergence of Conze–Lesigne averages (Ergodic Theory and Dynamical Systems)

Their papers

• The logarithmic Sarnak conjecture for ergodic weights (2017) — 76 citations
• Continuous and Measurable Eigenfunctions of Linearly Recurrent Dynamical Cantor Systems (2003) — 48 citations
• Ergodic seminorms for commuting transformations and applications (2008) — 86 citations
• Nilpotent Structures in Ergodic Theory (2018) — 129 citations
• Higher order Fourier analysis of multiplicative functions and applications (2014) — 87 citations
• Uniformity seminorms on ℓ∞ and applications (2009) — 86 citations
• Ergodic averages of commuting transformations with distinct degree polynomial iterates (2009) — 67 citations
• Nilsequences and a structure theorem for topological dynamical systems (2009) — 96 citations
• Multiple recurrence and convergence for sequences related to the prime numbers (2006) — 65 citations
• Multiple recurrence and nilsequences (2005) — 205 citations
• Nonconventional ergodic averages and nilmanifolds (2005) — 494 citations
• Convergence of polynomial ergodic averages (2005) — 111 citations
• Asymptotic pairs in positive-entropy systems (2002) — 88 citations
• Convergence of Conze–Lesigne averages (2001) — 50 citations