Random polynomials with prescribed Newton polytope
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Publication:4441811
DOI10.1090/S0894-0347-03-00437-5zbMath1119.60007arXivmath/0211391MaRDI QIDQ4441811
Bernard Shiffman, Steven Zelditch
Publication date: 7 January 2004
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0211391
Geometric probability and stochastic geometry (60D05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Stochastic processes (60G99) Zero sets of holomorphic functions of several complex variables (32A60)
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Cites Work
- A new capacity for plurisubharmonic functions
- Number variance of random zeros on complex manifolds
- The necessary and sufficient conditions for Lipschitz local homeomorphism
- Polyedres de Newton et nombres de Milnor
- Distribution of zeros of random and quantum chaotic sections of positive line bundles
- Riemann-Roch for toric orbifolds
- Amoebas, Monge-Ampère measures, and triangulations of the Newton polytope
- Toric Newton method for polynomial homotopies
- Universality and scaling of correlations between zeros on complex manifolds
- Distribution laws for integrable eigenfunctions.
- Real algebraic curves, the moment map and amoebas
- Laurent determinants and arrangements of hyperplane amoebas
- Introduction to Toric Varieties. (AM-131)
- Angular momentum, convex Polyhedra and Algebraic Geometry
- Hamiltoniens périodiques et images convexes de l'application moment
- Lattice points in simple polytopes
- Residue formulae, vector partition functions and lattice points in rational polytopes
- A Polyhedral Method for Solving Sparse Polynomial Systems
- Computing Amoebas
- Sur un probl?me de g?om?trie diophantienne lin?aire. I. Poly?dres et r?seaux.
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