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Emerging Applications of Algebraic Geometry
Buch von Seth Sullivant (u. a.)
Sprache: Englisch

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Beschreibung
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. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.
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. The articles in this volume highlight a range of these applications and provide introductory material for topics covered in the IMA workshops on "Optimization and Control" and "Applications in Biology, Dynamics, and Statistics" held during the IMA year on Applications of Algebraic Geometry. The articles related to optimization and control focus on burgeoning use of semidefinite programming and moment matrix techniques in computational real algebraic geometry. The new direction towards a systematic study of non-commutative real algebraic geometry is well represented in the volume. Other articles provide an overview of the way computational algebra is useful for analysis of contingency tables, reconstruction of phylogenetic trees, and in systems biology. The contributions collected in this volume are accessible to non-experts, self-contained and informative; they quickly move towards cutting edge research in these areas, and provide a wealth of open problems for future research.
Inhaltsverzeichnis
Polynomial Optimization on Odd-Dimensional Spheres.- Engineering Systems and Free Semi-Algebraic Geometry.- Algebraic Statistics and Contingency Table Problems: Log-Linear Models, Likelihood Estimation, and Disclosure Limitation.- Using Invariants for Phylogenetic Tree Construction.- On the Algebraic Geometry of Polynomial Dynamical Systems.- A Unified Approach to Computing Real and Complex Zeros of Zero-Dimensional Ideals.- Sums of Squares, Moment Matrices and Optimization Over Polynomials.- Positivity and Sums of Squares: A Guide to Recent Results.- Noncommutative Real Algebraic Geometry Some Basic Concepts and First Ideas.- Open Problems in Algebraic Statistics.
Details
Erscheinungsjahr: 2008
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 392
Reihe: The IMA Volumes in Mathematics and its Applications
Inhalt: xi
376 S.
ISBN-13: 9780387096858
ISBN-10: 038709685X
Sprache: Englisch
Herstellernummer: 12278572
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Redaktion: Sullivant, Seth
Putinar, Mihai
Herausgeber: Mihai Putinar/Seth Sullivant
Auflage: 2009
Hersteller: Springer New York
Springer US, New York, N.Y.
The IMA Volumes in Mathematics and its Applications
Maße: 241 x 160 x 26 mm
Von/Mit: Seth Sullivant (u. a.)
Erscheinungsdatum: 27.10.2008
Gewicht: 0,752 kg
Artikel-ID: 101734582
Inhaltsverzeichnis
Polynomial Optimization on Odd-Dimensional Spheres.- Engineering Systems and Free Semi-Algebraic Geometry.- Algebraic Statistics and Contingency Table Problems: Log-Linear Models, Likelihood Estimation, and Disclosure Limitation.- Using Invariants for Phylogenetic Tree Construction.- On the Algebraic Geometry of Polynomial Dynamical Systems.- A Unified Approach to Computing Real and Complex Zeros of Zero-Dimensional Ideals.- Sums of Squares, Moment Matrices and Optimization Over Polynomials.- Positivity and Sums of Squares: A Guide to Recent Results.- Noncommutative Real Algebraic Geometry Some Basic Concepts and First Ideas.- Open Problems in Algebraic Statistics.
Details
Erscheinungsjahr: 2008
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 392
Reihe: The IMA Volumes in Mathematics and its Applications
Inhalt: xi
376 S.
ISBN-13: 9780387096858
ISBN-10: 038709685X
Sprache: Englisch
Herstellernummer: 12278572
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Redaktion: Sullivant, Seth
Putinar, Mihai
Herausgeber: Mihai Putinar/Seth Sullivant
Auflage: 2009
Hersteller: Springer New York
Springer US, New York, N.Y.
The IMA Volumes in Mathematics and its Applications
Maße: 241 x 160 x 26 mm
Von/Mit: Seth Sullivant (u. a.)
Erscheinungsdatum: 27.10.2008
Gewicht: 0,752 kg
Artikel-ID: 101734582
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