Louis J. Billera
Discrete Mathematics and Combinatorics · 2000–2007
A researcher in the Science corpus: 6 papers; trusts 1 researcher and is trusted by 14 researchers here, as inferred from the citation graph.
Subfields
- Discrete Mathematics and Combinatorics — 5 citations into it; #1,028 of 2,017 by trust here, #345 by citations
Whom Louis J. Billera trusts overall
Their strongest outbound trust, strongest first, inferred from their citations.
Who trusts Louis J. Billera overall
- G. Mikhalkin
- T. Kyle Petersen
- Christof Schötz
- Sridhar Mahadevan
- Persi Diaconis
- David E. Speyer
- Federico Ardila
- Kurt W. Luoto
- Stephanie van Willigenburg
- Bernd Sturmfels
Papers from Louis J. Billera's perspective
Ordered by how strongly the researchers Louis J. Billera trusts endorse each paper. Same corpus, a different order for every researcher.
- Facing Up to Arrangements: Face-Count Formulas for Partitions of Space by Hyperplanes
- Nonlinear martingale theory for processes with values in metric spaces of nonpositive curvature
- Combinatorial Hopf algebras and generalized Dehn–Sommerville relations (Compositio Mathematica)
- Introduction to Matrix Analysis
- Hilbert schemes, polygraphs and the Macdonald positivity conjecture
- The cd-index of fans and posets (Compositio Mathematica)
- Symmetric functions in noncommuting variables
- The homogeneous coordinate ring of a toric variety
- Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality
- Polynomial realizations of some trialgebras
Their papers
- A geometric interpretation of the Metropolis-Hastings algorithm (2001) — 84 citations
- Geometry of the Space of Phylogenetic Trees (2001) — 707 citations
- Quasisymmetric functions and Kazhdan-Lusztig polynomials (2007) — 52 citations
- Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions (2004) — 71 citations
- Peak quasisymmetric functions and Eulerian enumeration (2003) — 78 citations
- Monotonicity of the cd-index for polytopes (2000) — 56 citations