Emerging Applications of Algebraic Geometry

by Putinar, Mihai; Sullivant, Seth

• ISBN13: 9780387096858
• ISBN10: 038709685X
• Format: Hardcover
• Copyright: 2008-10-02
• Publisher: Springer Verlag

Summary

Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research.

Table of Contents

Foreword	p. v
Preface	p. vii
Polynomial optimization on odd-dimensional spheres	p. 1
Engineering systems and free semi-algebraic geometry	p. 17
Algebraic statistics and contingency table problems: Log-linear models, likelihood estimation, and disclosure limitation	p. 63
Using invariants for phylogenetic tree construction	p. 89
On the algebraic geometry of polynomial dynamical systems	p. 109
A unified approach to computing real and complex zeros of zero-dimensional ideals	p. 125
Sums of squares, moment matrices and optimization over polynomials	p. 157
Positivity and sums of squares: A guide to recent results	p. 271
Noncommutative real algebraic geometry some basic concepts and first ideas	p. 325
Open problems in algebraic statistics	p. 351
List of workshop participants	p. 365
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