Julius Borcea
Computational Theory and Mathematics · 2006–2008
A researcher in the Science corpus: 5 papers; trusts 7 researchers and is trusted by 11 researchers here, as inferred from the citation graph.
Subfields
- Computational Theory and Mathematics — 17 citations into it; #3,564 of 12,182 by trust here, #4,850 by citations
- Applied Mathematics — 12 citations into it; #1,357 of 7,620 by trust here, #1,028 by citations
- Discrete Mathematics and Combinatorics — 12 citations into it; #1,496 of 2,017 by trust here, #970 by citations
- Mathematical Physics — 9 citations into it; #4,227 of 8,562 by trust here, #5,794 by citations
- Statistics and Probability — 9 citations into it; #6,678 of 12,932 by trust here, #6,552 by citations
- Algebra and Number Theory — 7 citations into it
- Computer Graphics and Computer-Aided Design — 5 citations into it
- Numerical Analysis — 5 citations into it
Whom Julius Borcea trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
- Petter Brand'en
- J. William Helton
- Robin Pemantle
- Alan D. Sokal
- Victor Vinnikov
- Russell Lyons
- Thomas M. Liggett
- A. S. Lewis
- Geoffrey Grimmett
- K. Johansson
Who trusts Julius Borcea overall
- Petter Brand'en
- David G. Wagner
- Adam W. Marcus
- Robin Pemantle
- Daniel A. Spielman
- Russell Lyons
- Thomas M. Liggett
- Nikhil Srivastava
- A. Hinge
- June Huh
Papers from Julius Borcea's perspective
Ordered by how strongly the researchers Julius Borcea trusts endorse each paper. Same corpus, a different order for every researcher.
- Determinantal probability measures
- Towards a theory of negative dependence
- Local Characteristics, Entropy and Limit Theorems for Spanning Trees and Domino Tilings Via Transfer-Impedances
- Negative dependence and the geometry of polynomials
- Hyperbolic Polynomials and Convex Analysis (Canadian Journal of Mathematics - Journal Canadien de Mathematiques)
- The multivariate Tutte polynomial (alias Potts model) for graphs and matroids (BCC)
- Linear matrix inequality representation of sets
- The Random-Cluster Model
- The lax conjecture is true
- Determinantal Processes and Independence
Their papers
- Multivariate Pólya–Schur classification problems in the Weyl algebra (2006) — 105 citations
- Negative dependence and the geometry of polynomials (2007) — 306 citations
- Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products (2006) — 93 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