Julius Borcea

531 total citations
21 papers, 206 citations indexed

About

Julius Borcea is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Julius Borcea has authored 21 papers receiving a total of 206 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Applied Mathematics, 11 papers in Geometry and Topology and 6 papers in Mathematical Physics. Recurrent topics in Julius Borcea's work include Mathematical functions and polynomials (11 papers), Advanced Differential Equations and Dynamical Systems (6 papers) and Mathematical Inequalities and Applications (3 papers). Julius Borcea is often cited by papers focused on Mathematical functions and polynomials (11 papers), Advanced Differential Equations and Dynamical Systems (6 papers) and Mathematical Inequalities and Applications (3 papers). Julius Borcea collaborates with scholars based in Sweden, United States and France. Julius Borcea's co-authors include Petter Brändén, Thomas M. Liggett, Boris Shapiro, Victor Vinnikov, Shmuel Friedland and George Csordás and has published in prestigious journals such as Transactions of the American Mathematical Society, Advances in Mathematics and Pacific Journal of Mathematics.

In The Last Decade

Julius Borcea

21 papers receiving 181 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Julius Borcea Sweden	7	76	69	61	60	54	21	206
Dmitry S. Kaliuzhnyi-Verbovetskyi United States	8	90 1.2×	56 0.8×	70 1.1×	24 0.4×	75 1.4×	13	198
William M. Y. Goh United States	9	37 0.5×	26 0.4×	37 0.6×	27 0.5×	72 1.3×	26	185
Juan Arias de Reyna Spain	9	114 1.5×	45 0.7×	49 0.8×	26 0.4×	98 1.8×	35	215
B. Crstici Romania	2	86 1.1×	65 0.9×	42 0.7×	18 0.3×	43 0.8×	3	275
Antal A. Járai Hungary	11	149 2.0×	76 1.1×	50 0.8×	120 2.0×	223 4.1×	52	393
Laurent Habsieger France	8	38 0.5×	51 0.7×	40 0.7×	11 0.2×	36 0.7×	37	189
Jonathan Sondow United States	11	139 1.8×	94 1.4×	36 0.6×	15 0.3×	83 1.5×	41	341
Nikolay Moshchevitin Russia	9	55 0.7×	78 1.1×	54 0.9×	9 0.1×	138 2.6×	74	279
Ryōtarō Satō Japan	11	176 2.3×	111 1.6×	94 1.5×	68 1.1×	283 5.2×	93	465
А. Г. Постников United States	5	25 0.3×	85 1.2×	61 1.0×	14 0.2×	50 0.9×	8	217

Countries citing papers authored by Julius Borcea

Since Specialization

Citations

This map shows the geographic impact of Julius Borcea's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Julius Borcea with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Julius Borcea more than expected).

Fields of papers citing papers by Julius Borcea

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Julius Borcea. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Julius Borcea. The network helps show where Julius Borcea may publish in the future.

Co-authorship network of co-authors of Julius Borcea

This figure shows the co-authorship network connecting the top 25 collaborators of Julius Borcea. A scholar is included among the top collaborators of Julius Borcea based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Julius Borcea. Julius Borcea is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Borcea, Julius. (2011). Classifications of linear operators preserving elliptic, positive and non-negative polynomials. Journal für die reine und angewandte Mathematik (Crelles Journal). 2011(650). 1 indexed citations

Borcea, Julius & Petter Brändén. (2010). Hyperbolicity preservers and majorization. Comptes Rendus Mathématique. 348(15-16). 843–846. 3 indexed citations

Borcea, Julius, et al.. (2009). Homogenized Spectral Problems for Exactly Solvable Operators: Asymptotics of Polynomial Eigenfunctions. Publications of the Research Institute for Mathematical Sciences. 45(2). 525–568. 7 indexed citations

Borcea, Julius, et al.. (2009). Piecewise harmonic subharmonic functions and positive Cauchy transforms. Pacific Journal of Mathematics. 240(2). 231–265. 5 indexed citations

Borcea, Julius & Petter Brändén. (2008). Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products. Duke Mathematical Journal. 143(2). 26 indexed citations

Borcea, Julius. (2008). Convexity Properties of Twisted Root Maps. Rocky Mountain Journal of Mathematics. 38(3). 2 indexed citations

Borcea, Julius, Petter Brändén, & Thomas M. Liggett. (2008). Negative dependence and the geometry of polynomials. Journal of the American Mathematical Society. 22(2). 521–567. 92 indexed citations

Borcea, Julius. (2007). Choquet order for spectra of higher Lamé operators and orthogonal polynomials. Journal of Approximation Theory. 151(2). 164–180. 1 indexed citations

Borcea, Julius. (2007). Equilibrium points of logarithmic potentials induced by positive charge distributions. I. Generalized de Bruijn-Springer relations. Transactions of the American Mathematical Society. 359(7). 3209–3237. 14 indexed citations

10.

Borcea, Julius, Petter Brändén, George Csordás, & Victor Vinnikov. (2007). Polya-Schur-Lax problems: hyperbolicity and stability preservers. 2 indexed citations

11.

Borcea, Julius, Petter Brändén, & Boris Shapiro. (2006). Classification of hyperbolicity and stability preservers: the multivariate Weyl algebra case. arXiv (Cornell University). 6 indexed citations

12.

Borcea, Julius. (2006). Maximal and linearly inextensible polynomials. MATHEMATICA SCANDINAVICA. 99(1). 53–53. 2 indexed citations

13.

Borcea, Julius. (2006). Spectral order and isotonic differential operators of Laguerre–Pólya type. Arkiv för matematik. 44(2). 211–240. 5 indexed citations

14.

Borcea, Julius, et al.. (2005). On rational approximation of algebraic functions. Advances in Mathematics. 204(2). 448–480. 7 indexed citations

15.

Borcea, Julius & Boris Shapiro. (2004). . International Mathematics Research Notices. 2004(69). 3689–3689. 8 indexed citations

16.

Borcea, Julius & Boris Shapiro. (2003). Hyperbolic polynomials and spectral order. Comptes Rendus Mathématique. 337(11). 693–698. 10 indexed citations

17.

Borcea, Julius. (2002). Dualities and vertex operator algebras of affine type. Journal of Algebra. 258(2). 389–441. 3 indexed citations

18.

Borcea, Julius. (2001). Annihilating fields of standard modules for affine Lie algebras. Mathematische Zeitschrift. 237(2). 301–319. 1 indexed citations

19.

Borcea, Julius. (1998). Two approaches to Sendov's conjecture. Archiv der Mathematik. 71(1). 46–54. 3 indexed citations

20.

Borcea, Julius. (1996). The Sendov conjecture for polynomials with at most seven distinct zeros. 16. 137. 6 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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