Vesselin Petkov

1.2k total citations
58 papers, 673 citations indexed

About

Vesselin Petkov is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Vesselin Petkov has authored 58 papers receiving a total of 673 indexed citations (citations by other indexed papers that have themselves been cited), including 41 papers in Mathematical Physics, 18 papers in Computational Theory and Mathematics and 13 papers in Applied Mathematics. Recurrent topics in Vesselin Petkov's work include Spectral Theory in Mathematical Physics (25 papers), Numerical methods in inverse problems (21 papers) and Advanced Mathematical Modeling in Engineering (17 papers). Vesselin Petkov is often cited by papers focused on Spectral Theory in Mathematical Physics (25 papers), Numerical methods in inverse problems (21 papers) and Advanced Mathematical Modeling in Engineering (17 papers). Vesselin Petkov collaborates with scholars based in France, Bulgaria and Australia. Vesselin Petkov's co-authors include Victor Ivrii, Peter Tom Jones, Bart Blanpain, Maciej Zworski, Luchezar Stoyanov, Saeid Lotfian, Lieven Pandelaers, Annelies Malfliet, Patrick Wollants and Eddy Boydens and has published in prestigious journals such as Physical Review Letters, Communications in Mathematical Physics and Communications on Pure and Applied Mathematics.

In The Last Decade

Vesselin Petkov

50 papers receiving 593 citations

Peers

Vesselin Petkov

SNP

CTM

Martin Kružík Czechia

M. Guedda France

F. M. Tangerman United States

Jun Shen China

Becca Thomases United States

Sergey E. Mikhailov United Kingdom

Б. А. Пламеневский Russia

Tiziana Giorgi United States

Adriana Garroni Italy

Hamid Bellout United States

Martin Kružík Czechia

Vesselin Petkov

68 ×0.2

107 ×0.6

121 ×0.7

23 ×0.2

SNP

302 ×2.9

CTM

Citations per year, relative to Vesselin Petkov Vesselin Petkov (= 1×) peers Martin Kružík

Countries citing papers authored by Vesselin Petkov

Since Specialization

Citations

This map shows the geographic impact of Vesselin Petkov'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 Vesselin Petkov with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Vesselin Petkov more than expected).

Fields of papers citing papers by Vesselin Petkov

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Vesselin Petkov. 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 Vesselin Petkov. The network helps show where Vesselin Petkov may publish in the future.

Co-authorship network of co-authors of Vesselin Petkov

This figure shows the co-authorship network connecting the top 25 collaborators of Vesselin Petkov. A scholar is included among the top collaborators of Vesselin Petkov 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 Vesselin Petkov. Vesselin Petkov 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

Petkov, Vesselin. (2025). On the number of poles of the dynamical zeta functions for billiard flow. Discrete and Continuous Dynamical Systems. 45(9). 3174–3194.

Petkov, Vesselin & Georgi Vodev. (2017). Asymptotics of the number of the interior transmission eigenvalues. Journal of Spectral Theory. 7(1). 1–31. 10 indexed citations

Colombini, Ferruccio & Vesselin Petkov. (2017). Weyl formula for the negative dissipative eigenvalues of Maxwell's\n equations. arXiv (Cornell University). 1 indexed citations

Bove, Antonio, et al.. (2013). Cauchy problem for effectively hyperbolic operators with triple characteristics. Comptes Rendus Mathématique. 352(2). 109–112.

Valev, Ventsislav K., A. V. Silhanek, Yogesh Jeyaram, et al.. (2011). Hotspot Decorations Map Plasmonic Patterns with the Resolution of Scanning Probe Techniques. Physical Review Letters. 106(22). 226803–226803. 37 indexed citations

Colombini, Ferruccio, Vesselin Petkov, & Jeffrey Rauch. (2011). Incoming and disappearing solutions for Maxwell’s equations. Proceedings of the American Mathematical Society. 139(6). 2163–2173. 3 indexed citations

Petkov, Vesselin. (2008). Dynamical Zeta Function for Several Strictly Convex Obstacles. Canadian Mathematical Bulletin. 51(1). 100–113. 2 indexed citations

Petkov, Vesselin & Luchezar Stoyanov. (2007). Analytic continuation of the resolvent of the Laplacian and the dynamical zeta function. Comptes Rendus Mathématique. 345(10). 567–572. 1 indexed citations

Dimassi, Mouez & Vesselin Petkov. (2004). . International Mathematics Research Notices. 2004(77). 4147–4147. 4 indexed citations

10.

Petkov, Vesselin, et al.. (2003). Eigenvalues of the reference operator and semiclassical resonances. Journal of Functional Analysis. 202(2). 571–590. 2 indexed citations

11.

Cardoso, F. F., Georgi Vodev, & Vesselin Petkov. (2002). ON THE STABILIZATION OF THE WAVE EQUATION BY THE BOUNDARY. Bulgarian Digital Mathematics Library (BulDML) at IMI-BAS (Institute of Mathematics and Informatics). 28(3). 233–240. 5 indexed citations

12.

Petkov, Vesselin & Georgi Popov. (1998). Semi-classical trace formula and clustering of eigenvalues for Schrödinger operators. Annales De L Institut Henri Poincare-physique Theorique. 68(1). 17–83. 14 indexed citations

13.

Petkov, Vesselin, et al.. (1995). Sojourn times of trapping rays and the behavior of the modified resolvent of the Laplacian. French digital mathematics library (Numdam). 62(1). 17–45. 6 indexed citations

14.

Cardoso, F. F., Vesselin Petkov, & Luchezar Stoyanov. (1990). Singularities of the scattering kernel for generic obstacles. French digital mathematics library (Numdam). 53(4). 445–466. 1 indexed citations

15.

Petkov, Vesselin, et al.. (1989). Singularities of the scattering kernel and scattering invariants for several strictly convex obstacles. Transactions of the American Mathematical Society. 312(1). 203–235. 4 indexed citations

16.

Petkov, Vesselin, et al.. (1989). Singularities of the Scattering Kernel and Scattering Invariants for Several Strictly Convex Obstacles. Transactions of the American Mathematical Society. 312(1). 203–203. 1 indexed citations

17.

Petkov, Vesselin, et al.. (1987). Spectrum of the Poincar� map for periodic reflecting rays in generic domains. Mathematische Zeitschrift. 194(4). 505–518. 7 indexed citations

18.

Petkov, Vesselin. (1985). Propriétés génériques des rayons réfléchissants et applications aux problèmes spectraux. French digital mathematics library (Numdam). 1–15. 4 indexed citations

19.

Petkov, Vesselin. (1984). Note on the distribution of poles of the scattering matrix. Journal of Mathematical Analysis and Applications. 101(2). 582–587.

20.

Petkov, Vesselin. (1983). La distribution des pôles de la matrice de diffusion. French digital mathematics library (Numdam). 1–8. 2 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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