Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Julius Borcea"'
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. :229-233
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::236fe570f27f56dbf5b5d7a095d563ae
https://doi.org/10.2977/prims/68
https://doi.org/10.2977/prims/68
Autor:
Petter Brändén, Julius Borcea
Publikováno v:
Communications on Pure and Applied Mathematics. 62:1595-1631
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 circular domains. For such sets this completes the multivariate generaliza
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f4033ddf43268250fd9cecdfbead5a4
https://doi.org/10.1002/cpa.20295
https://doi.org/10.1002/cpa.20295
Publikováno v:
Journal of the American Mathematical Society. 22:521-567
We introduce the class of {\em strongly Rayleigh} probability measures by means of geometric properties of their generating polynomials that amount to the stability of the latter. This class covers important models such as determinantal measures (e.g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::697a9faca7af32f634a0d57f76df4bf2
https://doi.org/10.1090/s0894-0347-08-00618-8
https://doi.org/10.1090/s0894-0347-08-00618-8
Autor:
Julius Borcea
Publikováno v:
Journal of Approximation Theory. 151(2):164-180
We establish a hierarchy of weighted majorization relations for the singularities of generalized Lam\'e equations and the zeros of their Van Vleck and Heine-Stieltjes polynomials as well as for multiparameter spectral polynomials of higher Lam\'e ope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae00462d730824809fbdd14cbd6aebd6
Autor:
Julius Borcea
Publikováno v:
Transactions of the American Mathematical Society. 359:3209-3237
A notion of weighted multivariate majorization is defined as a preorder on sequences of vectors in Euclidean space induced by the Choquet ordering for atomic probability measures. We characterize this preorder both in terms of stochastic matrices and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e519c9fda90129771a273b331c2fd31
https://doi.org/10.1090/s0002-9947-07-04251-1
https://doi.org/10.1090/s0002-9947-07-04251-1
Publikováno v:
Advances in Mathematics. 204(2):448-480
We construct a new scheme of approximation of any multivalued algebraic function $f(z)$ by a sequence $\{r_{n}(z)\}_{n\in \mathbb{N}}$ of rational functions. The latter sequence is generated by a recurrence relation which is completely determined by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d62fdc5c1535f00c2d8220230cd4792
Autor:
Julius Borcea
Publikováno v:
Journal of Algebra. 258(2):389-441
We notice that for any positive integer $k$, the set of $(1,2)$-specialized characters of level $k$ standard $A_{1}^{(1)}$-modules is the same as the set of rescaled graded dimensions of the subspaces of level $2k+1$ standard $A_{2}^{(2)}$-modules th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e591a0f74b0457664a7e01debd9e53dd
Autor:
Julius Borcea
Publikováno v:
Archiv der Mathematik. 71:46-54
We investigate two different ways of studying the Sendov conjecture: a variational method and an approach based on the apolarity theory. We use the former to verify a special case of a conjecture of Miller about extremal polynomials, and the latter t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51d66c1e50f62ded3a49aa7550864a2f
https://doi.org/10.1007/s000130050232
https://doi.org/10.1007/s000130050232
Publikováno v:
Notions of Positivity and the Geometry of Polynomials ISBN: 9783034801416
We study subharmonic functions whose Laplacian is supported on a null set K ⊂ C and in connected components of C \ K admit harmonic extensions to larger sets. We prove that if such a function has a piecewise holomorphic derivative then it is locall
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44e127a440a01760af5b227a618b3d14
https://doi.org/10.1007/978-3-0348-0142-3_4
https://doi.org/10.1007/978-3-0348-0142-3_4
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 depend on auxiliary parameters and converge uniformly in these parameters
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a478a6e9161ee54db1c239fae4a10dab
http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-49759
http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-49759