Bryna Kra

Discrete Mathematics and Combinatorics · 2001–2018

A researcher in the Science corpus: 14 papers; trusts 13 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 57 citations into it; #47 of 2,017 by trust here, #20 by citations
• Mathematical Physics — 44 citations into it; #681 of 8,562 by trust here, #467 by citations
• Geometry and Topology — 38 citations into it; #437 of 7,422 by trust here, #270 by citations
• Algebra and Number Theory — 25 citations into it; #181 of 2,864 by trust here, #126 by citations
• Applied Mathematics — 7 citations into it
• Statistics and Probability — 7 citations into it
• Computational Theory and Mathematics — 6 citations into it; #8,262 of 12,182 by trust here, #10,901 by citations

Whom Bryna Kra trusts overall

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

1. Ben Joseph Green
2. B. Host
3. Terence Tao
4. Alexander Leibman
5. T. Ziegler
6. William T. Gowers
7. Nikos Frantzikinakis
8. Vitaly Bergelson
9. Sebastian Donoso

Who trusts Bryna Kra overall

1. Terence Tao
2. Nikos Frantzikinakis
3. B. Host
4. Ben Joseph Green
5. T. Ziegler
6. Tim Austin
7. Q. Chu
8. William T. Gowers
9. M. N. Walsh
10. Xiaochun Li

Papers from Bryna Kra's perspective

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

1. Polynomial averages converge to the product of integrals
2. Universal characteristic factors and Furstenberg averages
3. Convergence of multiple ergodic averages along polynomials of several variables
4. Multiple recurrence and nilsequences
5. An analog of Freiman's theorem in groups (Astérisque)
6. Convergence of Conze–Lesigne averages (Ergodic Theory and Dynamical Systems)
7. THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY (Forum of Mathematics, Sigma)
8. Invariant Measures and Orbit Closures on Homogeneous Spaces for Actions of Subgroups Generated by Unipotent Elements
9. Multiple recurrence and convergence for sequences related to the prime numbers
10. A NEW PROOF OF SZEMER ´ EDI'S THEOREM

Their papers

• THE AUTOMORPHISM GROUP OF A SHIFT OF LINEAR GROWTH: BEYOND TRANSITIVITY (2014) — 65 citations
• Nilpotent Structures in Ergodic Theory (2018) — 129 citations
• The automorphism group of a minimal shift of stretched exponential growth (2015) — 67 citations
• Nonexpansive Z(2)-Subdynamics and Nivat's Conjecture (2012) — 46 citations
• Uniformity seminorms on ℓ∞ and applications (2009) — 86 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
• The Green-Tao Theorem on arithmetic progressions in the primes: an ergodic point of view (2005) — 58 citations
• Convergence of multiple ergodic averages for some commuting transformations (2004) — 50 citations
• Polynomial averages converge to the product of integrals (2004) — 69 citations
• Convergence of Conze–Lesigne averages (2001) — 50 citations