Notions of Positivity and the Geometry of Polynomials

1. Commuting Linear Differential Operators and Hankel Matrices
Alexandru Aleman, Andreea Sarafoleanu

2. Variants of the Effective Nullstellensatz and Residue Calculus
Mats Andersson, Elizabeth Wulcan

3. An Extension Problem for Convex Functions
Bo Berndtsson

4. Subharmonic Configurations and Algebraic Cauchy Transforms of Probability Measures
Jan-Erik Björk, Julius Borcea, Rikard Bøgvad

5. Proof of the Monotone Column Permanent Conjecture
Petter Brändén, James Haglund, Mirkó Visontai, David G. Wagner

6. Tracial Nullstellensätze
Matej Brešar, Igor Klep

7. Iterated Turán Inequalities and a Conjecture of P. Brändén
George Csordas

8. Double Scaling Limit for Modified Jacobi-Angelesco Polynomials
Klaas Deschout, Arno B. J. Kuijlaars

9. Constrained Approximation via Functional Analysis
Peter Duren, Harold S. Shapiro

10. An Elementary Proof of the B. and M. Shapiro Conjecture for Rational Functions
Alexandre Eremenko, Andrei Gabrielov

11. The Pressure, Densities and First-order Phase Transitions Associated with Multidimensional SOFT
Shmuel Friedland, Uri N. Peled

12. Matrix Weyl Functions and Non-Abelian Coxeter-Toda Lattices
Michael Gekhtman, Olena Korovnichenko

13. On the Exponential Transform of Lemniscates
Björn Gustafsson, Vladimir Tkachev

14. On a Family of Positive Linear Integral Operators
Mourad Ismail, Plamen Simeonov

15. Monomial Inequalities for Newton Coefficients and Determinantal Inequalities for p-Newton Matrices
C. R. Johnson, C. Marijuán, M. Pisonero, O. Walch

16. Borcea’s Variance Conjectures on the Critical Points of Polynomials
Dmitry Khavinson, Rajesh Pereira, Mihai Putinar, Edward B. Saff, Serguei Shimorin

17. Stability on {0, 1, 2, …}
S
: Birth-Death Chains and Particle Systems
Thomas M. Liggett, Alexander Vandenberg-Rodes

18. The Convex Hull of a Variety
Kristian Ranestad, Bernd Sturmfels

19. Blenders
Bruce Reznick

20. Random Complex Fewnomials, I
Bernard Shiffman, Steve Zelditch

21. Finite-order Invariants for (n, 2)-Torus Knots and the Curve Y^2 = X^3 + X^2

Svetlana Tyurina, Alexander Varchenko

Nyckelord: Mathematics, Analysis