Petter Brand'en

Discrete Mathematics and Combinatorics · 2004–2019

A researcher in the Science corpus: 15 papers; trusts 36 researchers and is trusted by 21 researchers here, as inferred from the citation graph.

Subfields

• Discrete Mathematics and Combinatorics — 38 citations into it; #559 of 2,017 by trust here, #245 by citations
• Computational Theory and Mathematics — 35 citations into it; #1,545 of 12,182 by trust here, #2,565 by citations
• Algebra and Number Theory — 30 citations into it; #2,400 of 2,864 by trust here, #1,227 by citations
• Geometry and Topology — 24 citations into it; #2,051 of 7,422 by trust here, #1,803 by citations
• Mathematical Physics — 22 citations into it; #2,878 of 8,562 by trust here, #4,247 by citations
• Applied Mathematics — 19 citations into it; #1,027 of 7,620 by trust here, #874 by citations
• Statistics and Probability — 17 citations into it; #6,878 of 12,932 by trust here, #5,481 by citations
• Numerical Analysis — 9 citations into it; #1,636 of 3,586 by trust here, #3,260 by citations

Whom Petter Brand'en trusts overall

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

1. Julius Borcea
2. David G. Wagner
3. J. William Helton
4. June Huh
5. Robin Pemantle
6. Pablo A. Parrilo
7. Victor Vinnikov
8. Sylvie Corteel
9. John R. Stembridge
10. Adam W. Marcus

Who trusts Petter Brand'en overall

1. Julius Borcea
2. David G. Wagner
3. Tim Netzer
4. Robin Pemantle
5. William Y. C. Chen
6. Liam Solus
7. Adam W. Marcus
8. Andreas Thom
9. Dennis X. Q. Jia
10. Christos A. Athanasiadis

Papers from Petter Brand'en's perspective

Ordered by how strongly the researchers Petter Brand'en trusts endorse each paper. Same corpus, a different order for every researcher.

1. Linear matrix inequality representation of sets
2. Hyperbolic Polynomials and Convex Analysis (Canadian Journal of Mathematics - Journal Canadien de Mathematiques)
3. Determinantal probability measures
4. The lax conjecture is true
5. Negative dependence and the geometry of polynomials
6. Towards a theory of negative dependence
7. Polya-Schur master theorems for circular domains and their boundaries
8. Topics in Matrix Analysis
9. The multivariate Tutte polynomial (alias Potts model) for graphs and matroids (BCC)
10. Local Characteristics, Entropy and Limit Theorems for Spanning Trees and Domino Tilings Via Transfer-Impedances

Their papers

• Multivariate Pólya–Schur classification problems in the Weyl algebra (2006) — 105 citations
• Negative dependence and the geometry of polynomials (2007) — 306 citations
• Polynomials with the half-plane property and matroid theory (2006) — 146 citations
• Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products (2006) — 93 citations
• Unimodality, log-concavity, real-rootedness and beyond (2015) — 261 citations
• Obstructions to determinantal representability (2010) — 92 citations
• Lorentzian polynomials. (2019) — 216 citations
• Symmetric Decompositions and Real-Rootedness (2018) — 54 citations
• The multivariate arithmetic Tutte polynomial (2012) — 61 citations
• Negative Dependence in Sampling (2012) — 47 citations
• Notions of positivity and the geometry of polynomials (2011) — 48 citations
• Iterated sequences and the geometry of zeros (2009) — 63 citations
• The Lee-Yang and Pólya-Schur programs. I. Linear operators preserving stability (2008) — 171 citations
• Polya-Schur master theorems for circular domains and their boundaries (2006) — 143 citations
• On linear transformations preserving the Polya frequency property (2004) — 114 citations