74 citations · 309 across the 26 of their papers we have counts for
26 papers
Hyperbolicity preservers and majorization
Julius Borcea, Petter Brändén
The majorization order on $\RR^n$ induces a natural partial ordering on the space of univariate hyperbolic polynomials of degree . We characterize all linear operators on polyno…
Subharmonic Configurations and Algebraic Cauchy Transforms of Probability Measures
Jan-Erik Björk, Julius Borcea, Rikard Bøgvad
We study subharmonic functions whose Laplacian is supported on a null set and in connected components of of the complement to the support admit harmonic extensions to larger sets.…
Parrametric Poincare-Perron theorem with applications
J. Borcea, S. Friedland, B. Shapiro
We prove a parametric generalization of the classical Poincare-Perron theorem on stabilizing recurrence relations where we assume that the varying coefficients of a recurrence depe…
Classifications of linear operators preserving elliptic, positive and non-negative polynomials
Julius Borcea
We characterize all linear operators on finite or infinite-dimensional spaces of univariate real polynomials preserving the sets of elliptic, positive, and non-negative polynomials…
Lee-Yang Problems and The Geometry of Multivariate Polynomials
Julius Borcea, Petter Brändén
We describe all linear operators on spaces of multivariate polynomials preserving the property of being non-vanishing in open circular domains. This completes the multivariate gene…
The Lee-Yang and Pólya-Schur Programs. II. Theory of Stable Polynomials and Applications
Julius Borcea, Petter Brändén
In the first part of this series we characterized all linear operators on spaces of multivariate polynomials preserving the property of being non-vanishing in products of open circ…