Leon Karp

456 total citations
19 papers, 255 citations indexed

About

Leon Karp is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Leon Karp has authored 19 papers receiving a total of 255 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Applied Mathematics, 9 papers in Geometry and Topology and 5 papers in Mathematical Physics. Recurrent topics in Leon Karp's work include Geometric Analysis and Curvature Flows (14 papers), Geometry and complex manifolds (7 papers) and Nonlinear Partial Differential Equations (5 papers). Leon Karp is often cited by papers focused on Geometric Analysis and Curvature Flows (14 papers), Geometry and complex manifolds (7 papers) and Nonlinear Partial Differential Equations (5 papers). Leon Karp collaborates with scholars based in United States, Germany and Sweden. Leon Karp's co-authors include Isaac Chavel, Mark A. Pinsky, Norbert Peyerimhoff, Arshak Petrosyan and Tero Kilpeläinen and has published in prestigious journals such as Journal of Differential Equations, Bulletin of the London Mathematical Society and Bulletin of the American Mathematical Society.

In The Last Decade

Leon Karp

18 papers receiving 228 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Leon Karp United States	8	230	117	80	79	33	19	255
Bun Wong United States	10	194 0.8×	147 1.3×	57 0.7×	98 1.2×	24 0.7×	22	262
Annamaria Montanari Italy	10	251 1.1×	102 0.9×	89 1.1×	70 0.9×	32 1.0×	38	276
Noël Lohoué France	10	283 1.2×	51 0.4×	40 0.5×	220 2.8×	14 0.4×	37	329
Tom Yau-heng Wan Hong Kong	10	276 1.2×	244 2.1×	62 0.8×	64 0.8×	34 1.0×	21	323
J. H. Michael Australia	4	263 1.1×	182 1.6×	40 0.5×	51 0.6×	33 1.0×	10	289
Shanyu Ji United States	11	301 1.3×	270 2.3×	29 0.4×	77 1.0×	18 0.5×	32	363
Paul MacManus United States	9	303 1.3×	153 1.3×	56 0.7×	102 1.3×	19 0.6×	14	333
Stephen Keith Australia	8	366 1.6×	186 1.6×	71 0.9×	106 1.3×	35 1.1×	10	393
Bo Berndtsson Sweden	11	337 1.5×	228 1.9×	31 0.4×	118 1.5×	13 0.4×	28	410
N. M. Ivochkina Russia	11	287 1.2×	149 1.3×	85 1.1×	64 0.8×	11 0.3×	38	315

Countries citing papers authored by Leon Karp

Since Specialization

Citations

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

Fields of papers citing papers by Leon Karp

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Leon Karp

This figure shows the co-authorship network connecting the top 25 collaborators of Leon Karp. A scholar is included among the top collaborators of Leon Karp 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 Leon Karp. Leon Karp is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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19 of 19 papers shown

Karp, Leon & Norbert Peyerimhoff. (2006). Geometric Heat Comparison Criteria for Riemannian Manifolds. Annals of Global Analysis and Geometry. 31(2). 115–145. 2 indexed citations

Karp, Leon & Norbert Peyerimhoff. (2002). Extremal properties of the principal Dirichlet eigenvalue for regular polygons in the hyperbolic plane. Archiv der Mathematik. 79(3). 223–231. 7 indexed citations

Karp, Leon, et al.. (2000). On the Porosity of Free Boundaries in Degenerate Variational Inequalities. Journal of Differential Equations. 164(1). 110–117. 32 indexed citations

Karp, Leon & Norbert Peyerimhoff. (2000). Spectral Gaps of Schrödinger Operators on Hyperbolic Space. Mathematische Nachrichten. 217(1). 105–124. 4 indexed citations

Karp, Leon & Norbert Peyerimhoff. (1999). Horospherical means and uniform distribution of curves of constant geodesic curvature. Mathematische Zeitschrift. 231(4). 655–677. 4 indexed citations

Karp, Leon & Norbert Peyerimhoff. (1998). ON THE DISTRIBUTION OF HYPERSURFACES EQUIDISTANT FROM TOTALLY GEODESIC SUBMANIFOLDS IN HYPERBOLIC SPACE. Analysis. 18(3). 217–226. 2 indexed citations

Chavel, Isaac & Leon Karp. (1991). Large time behavior of the heat kernel: the parabolic λ-potential alternative. Commentarii Mathematici Helvetici. 66(1). 541–556. 17 indexed citations

Chavel, Isaac & Leon Karp. (1990). Movement of hot spots in Riemannian manifolds. Journal d Analyse Mathématique. 55(1). 271–286. 22 indexed citations

Karp, Leon & Mark A. Pinsky. (1989). Volume of a small Extrinsic Ball in a Submanifold. Bulletin of the London Mathematical Society. 21(1). 87–92. 14 indexed citations

10.

Karp, Leon. (1987). Holomorphic vector fields on complex manifolds.. The Michigan Mathematical Journal. 34(1). 2 indexed citations

11.

Karp, Leon & Mark A. Pinsky. (1986). The First Eigenvalue of a Small Geodesic Ball in a Riemannian Manifold. Bulletin des Sciences Mathématiques. 111(2). 229–239. 6 indexed citations

12.

Karp, Leon. (1985). Differential inequalities on complete Riemannian manifolds and applications. Mathematische Annalen. 272(4). 449–459. 25 indexed citations

13.

Karp, Leon. (1984). Noncompact Riemannian manifolds with purely continuous spectrum.. The Michigan Mathematical Journal. 31(3). 11 indexed citations

14.

Karp, Leon. (1982). Subharmonic functions on real and complex manifolds. Mathematische Zeitschrift. 179(4). 535–554. 64 indexed citations

15.

Karp, Leon. (1981). Asymptotic behavior of solutions of elliptic equations II: Analogues of liouville’s theorem for solutions of inequalities onR n ,n≧3. Journal d Analyse Mathématique. 39(1). 103–115. 6 indexed citations

16.

Karp, Leon. (1981). Asymptotic behavior of solutions of elliptic equations I: Liouville-type theorems for linear and nonlinear equations onR n. Journal d Analyse Mathématique. 39(1). 75–102. 7 indexed citations

17.

Karp, Leon. (1981). On Stokes’ theorem for noncompact manifolds. Proceedings of the American Mathematical Society. 82(3). 487–490. 27 indexed citations

18.

Karp, Leon. (1977). Parallel vector fields and the topology of manifolds. Bulletin of the American Mathematical Society. 83(5). 1051–1053. 3 indexed citations

19.

Karp, Leon. (1976). Vector fields on manifolds. University Microfilms International eBooks.

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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