Louis Billera
#36,449
Most Influential Person Now
American mathematician
Louis Billera's AcademicInfluence.com Rankings
Louis Billeramathematics Degrees
Mathematics
#2188
World Rank
#3414
Historical Rank
#872
USA Rank
Measure Theory
#3031
World Rank
#3599
Historical Rank
#879
USA Rank
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Mathematics
Why Is Louis Billera Influential?
(Suggest an Edit or Addition)According to Wikipedia, Louis Joseph Billera is a Professor of Mathematics at Cornell University. Career Billera completed his B.S. at the Rensselaer Polytechnic Institute in 1964. He earned his Ph.D. from the Graduate Center of the City University of New York in 1968, under the joint supervision of Moses Richardson and Michel Balinski.
Louis Billera's Published Works
Published Works
- Geometry of the Space of Phylogenetic Trees (2001) (604)
- Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra (1980) (272)
- A Proof of the Sufficiency of McMullen's Conditions for f-Vectors of Simplicial Convex Polytopes (1981) (245)
- Constructions and complexity of secondary polytopes (1990) (208)
- Generalized Dehn-Sommerville relations for polytopes, spheres and Eulerian partially ordered sets (1985) (196)
- Allocation of Shared Costs: A Set of Axioms Yielding A Unique Procedure (1982) (190)
- Sufficiency of McMullen's conditions for $f$-vectors of simplicial polytopes (1980) (163)
- Internal Telephone Billing Rates - A Novel Application of Non-Atomic Game Theory (1978) (157)
- Homology of smooth splines: generic triangulations and a conjecture of Strang (1988) (140)
- The Combinatorics of Permutation Polytopes (1994) (87)
- A dimension series for multivariate splines (1991) (83)
- Some theorems on the core of an n-Game without Side-Payments (1970) (82)
- Cellular strings on polytopes (1994) (78)
- A geometric interpretation of the Metropolis-Hastings algorithm (2001) (76)
- Peak quasisymmetric functions and Eulerian enumeration (2003) (70)
- A quasisymmetric function for matroids (2006) (68)
- Face Numbers of Polytopes and Complexes (2004) (67)
- On games without side payments arising from a general class of markets (1974) (66)
- The algebra of continuous piecewise polynomials (1989) (62)
- Thec-2d-Index of Oriented Matroids (1997) (60)
- Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions (2004) (58)
- Duality and Minors of Secondary Polyhedra (1993) (58)
- Monotonicity of the cd-index for polytopes (2000) (55)
- Modules of piecewise polynomials and their freeness (1992) (52)
- All 0–1 polytopes are traveling salesman polytopes (1996) (49)
- New perspectives in algebraic combinatorics (1999) (48)
- Quasisymmetric functions and Kazhdan-Lusztig polynomials (2007) (45)
- Neighborly cubical spheres and a cubical lower bound conjecture (1997) (45)
- A Unique Procedure For Allocating Common Costs From A Production Process (1981) (44)
- On the composition and decomposition of clutters (1971) (44)
- Noncommutative Enumeration in Graded Posets (2000) (42)
- Counting Faces and Chains in Polytopes and Posets (1983) (40)
- A characterization of Pareto surfaces (1973) (40)
- A characterization of polyhedral market games (1973) (39)
- Cores of Nonatomic Linear Production Games (1981) (38)
- Market representations of $n$-person games (1974) (36)
- The cd-Index of Zonotopes and Arrangements (1998) (34)
- The Stanley decomposition of the harmonic oscillator (1988) (33)
- Iterated fiber polytopes (1994) (30)
- Linear Inequalities for Flags in Graded Partially Ordered Sets (2000) (30)
- RANDOM WALKS AND PLANE ARRANGEMENTS IN THREE DIMENSIONS (1999) (29)
- The Numbers of Faces of Polytope Pairs and Unbounded Polyhedra (1981) (28)
- Existence of general bargaining sets for cooperative games without side payments (1970) (27)
- Global Stability in n-Person Games (1972) (26)
- Polarity and Inner Products in Oriented Matroids (1984) (26)
- The geometry of products of minors (1998) (26)
- Triangulations of oriented matroids and convex polytopes (1984) (26)
- Gro¨bner basis methods for multivariate splines (1989) (24)
- Decompositions of Partially Ordered Sets (2000) (21)
- Some recent results inn-person game theory (1971) (20)
- Shellability of Interval Orders (1998) (18)
- Polyhedral Theory and Commutative Algebra (1982) (18)
- Maximal unbalanced families (2012) (17)
- Clutter Decomposition and Monotonic Boolean Functions * (1970) (13)
- Linear inequalities for flags in graded posets (1997) (10)
- Flag Enumeration in Polytopes, Eulerian Partially Ordered Sets and Coxeter Groups (2011) (9)
- Erratum to: "Geometry of the Space of Phylogenetic Trees": [Adv. in Appl. Math. 27 (2001) 733-767] (2002) (9)
- The dimenstion and bases of divergence-free splines; a homological approach (1991) (8)
- Distance computation in the space of phylogenetic trees (2008) (8)
- Enumeration in Convex Geometries and Associated Polytopal Subdivisions of Spheres (2005) (8)
- Delbert Ray Fulkerson (August 14, 1924-January 10, 1976) (1976) (7)
- On a dynamic theory for the kernel of ann-person game (1977) (5)
- Balanced subdivision and enumeration in balanced spheres (1987) (5)
- Boolean product polynomials and Schur-positivity (2018) (5)
- Games in Support Function Form: An Approach to the Kernel of NTU Games (1994) (5)
- Delbert Ray Fulkerson (1978) (5)
- Formal Power Series and Algebraic Combinatorics (1996) (3)
- PARETO SURFACES OF COMPLEXITY 1 (1976) (3)
- Formal Power Series and Algebraic Combinatorics (Séries Formelles et Combinatoire Algébrique), 1994 (1995) (3)
- Topologies for 2^{}; set-valued functions and their graphs (1971) (3)
- QUASISYMMETRIC FUNCTIONS (2011) (2)
- Dense Families of Low-Complexity Attainable Sets of Markets. (1979) (2)
- How to decompose a permutation into a pair of labeled Dyck paths by playing a game (2013) (2)
- Oriented Matroids and Triangulations of Convex Polytopes (1984) (2)
- Modeling Coalitional Values (1983) (1)
- Arrangements of equal minors in the positive Grassmannian (2018) (0)
- Formal power series and algebraic combinatorics, 1994 : DIMACS workshop, May 23-27, 1994 = Séries formelles et combinatoire algébrique, 1994 (1996) (0)
- TOPOLOGIES FOR 2X; SET-VALUED FUNCTIONS AND THEIR GRAPHSO (2010) (0)
- Interval positroid varieties and a deformation of the ring of symmetric functions (2018) (0)
- Shift techniques and multicover inequalities on colored complexes (2004) (0)
- 1 Shellability of Interval Orders ∗ (2006) (0)
- Listing service (1974) (0)
- Bandwidth of the product of paths of the same length (2012) (0)
- Review: Murray C. Kemp and Yoshio Kimura, Introduction to mathematical economics (1980) (0)
- Enumeration of Flags in Eulerian Posets (2005) (0)
- Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector (2012) (0)
- 17 FACE NUMBERS OF POLYTOPES AND COMPLEXES (1997) (0)
- Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector (2011) (0)
- Book reviews (1996) (0)
- The mentor (2008) (0)
- Book reviews (1973) (0)
- “Even more intriguing, if rather less plausible...” Face numbers of convex polytopes (2016) (0)
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