Random polynomials with prescribed Newton polytope

Bernard Shiffman; Steve Zelditch

doi:10.1090/S0894-0347-03-00437-5

Random polynomials with prescribed Newton polytope

Bernard Shiffman^*, Steve Zelditch

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

Original language	English (US)
Pages (from-to)	49-108
Number of pages	60
Journal	Journal of the American Mathematical Society
Volume	17
Issue number	1
DOIs	https://doi.org/10.1090/S0894-0347-03-00437-5
State	Published - Jan 2004

Keywords

Amoeba
Bernstein-Kouchnirenko Theorem
Complex stationary phase
Distribution of zeros
Newton polytope
Polytope character
Random polynomial system
Szegö kernel
Zero current

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Access to Document

10.1090/S0894-0347-03-00437-5

Cite this

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title = "Random polynomials with prescribed Newton polytope",

keywords = "Amoeba, Bernstein-Kouchnirenko Theorem, Complex stationary phase, Distribution of zeros, Newton polytope, Polytope character, Random polynomial system, Szeg{\"o} kernel, Zero current",

author = "Bernard Shiffman and Steve Zelditch",

year = "2004",

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doi = "10.1090/S0894-0347-03-00437-5",

language = "English (US)",

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journal = "Journal of the American Mathematical Society",

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T1 - Random polynomials with prescribed Newton polytope

AU - Shiffman, Bernard

AU - Zelditch, Steve

PY - 2004/1

Y1 - 2004/1

KW - Amoeba

KW - Bernstein-Kouchnirenko Theorem

KW - Complex stationary phase

KW - Distribution of zeros

KW - Newton polytope

KW - Polytope character

KW - Random polynomial system

KW - Szegö kernel

KW - Zero current

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DO - 10.1090/S0894-0347-03-00437-5

M3 - Article

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SP - 49

EP - 108

JO - Journal of the American Mathematical Society

JF - Journal of the American Mathematical Society

SN - 0894-0347

IS - 1

ER -