Notions of Positivity and the Geometry of Polynomials
1st Edition
Published on 1. September 2011
XX, 404 pages
978-3-0348-0142-3 (ISBN)
Description
The book consists of solicited articles from a select group of mathematicians and physicists working at the interface between positivity and the geometry, combinatorics or analysis of polynomials of one or several variables. It is dedicated to the memory of Julius Borcea (1968-2009), a distinguished mathematician, Professor at the University of Stockholm. With his extremely original contributions and broad vision, his impact on the topics of the planned volume cannot be underestimated. All contributors knew or have exchanged ideas with Dr. Borcea, and their articles reflect, at least partially, his heritage.
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Petter Brändén | Mikael Passare | Mihai Putinar
Notions of Positivity and the Geometry of Polynomials
Book
09/2011
Birkhäuser
€106.99
Shipment within 10-15 days
Content
- Intro
- Notions of Positivity and the Geometry of Polynomials
- Contents
- Introduction
- SECONDE COMPOSITION DE MATHEMATIQUES
- Second Composition in Mathematics
- Commuting Linear Differential Operators and Hankel Matrices
- Variants of the Effective Nullstellensatz and Residue Calculus
- An Extension Problem for Convex Functions
- Subharmonic Configurations and Algebraic Cauchy Transforms of Probability Measures
- Proof of the Monotone Column Permanent Conjecture
- Tracial Nullstellensätze
- Iterated Turán Inequalities and a Conjecture of P. Brändén
- Double Scaling Limit for Modified Jacobi-Angelesco Polynomials
- Constrained Approximation via Functional Analysis
- An Elementary Proof of the B. and M. Shapiro Conjecture for Rational Functions
- The Pressure, Densities and First-order Phase Transitions Associated with Multidimensional SOFT
- Matrix Weyl Functions and Non-Abelian Coxeter-Toda Lattices
- On the Exponential Transform of Lemniscates
- On a Family of Positive Linear Integral Operators
- Monomial Inequalities for Newton Coefficients and Determinantal Inequalities for p-Newton Matrices
- Borcea's Variance Conjectures onthe Critical Points of Polynomials
- Stability on {0, 1, 2, . . . }S: Birth-Death Chains and Particle Systems
- The Convex Hull of a Variety
- Blenders
- Random Complex Fewnomials, I
- Finite-order Invariants for (n, 2)-Torus Knots and the Curve Y2 = X3 + X2
