Mark S. Ashbaugh

2.0k total citations
45 papers, 898 citations indexed

About

Mark S. Ashbaugh is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Mark S. Ashbaugh has authored 45 papers receiving a total of 898 indexed citations (citations by other indexed papers that have themselves been cited), including 35 papers in Mathematical Physics, 28 papers in Computational Theory and Mathematics and 25 papers in Applied Mathematics. Recurrent topics in Mark S. Ashbaugh's work include Spectral Theory in Mathematical Physics (30 papers), Advanced Mathematical Modeling in Engineering (24 papers) and Nonlinear Partial Differential Equations (18 papers). Mark S. Ashbaugh is often cited by papers focused on Spectral Theory in Mathematical Physics (30 papers), Advanced Mathematical Modeling in Engineering (24 papers) and Nonlinear Partial Differential Equations (18 papers). Mark S. Ashbaugh collaborates with scholars based in United States, Chile and France. Mark S. Ashbaugh's co-authors include Rafael D. Benguria, Evans M. Harrell, Richard S. Laugesen, Carmen Chicone, Richard Cushman, Pavel Exner, Marius Mitrea, Fritz Gesztesy, Gerald Teschl and Howard A. Levine and has published in prestigious journals such as Communications in Mathematical Physics, Physics Letters A and Annals of Mathematics.

In The Last Decade

Mark S. Ashbaugh

41 papers receiving 788 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mark S. Ashbaugh United States 20 616 593 494 109 87 45 898
Bert‐Wolfgang Schulze Germany 15 840 1.4× 407 0.7× 812 1.6× 102 0.9× 64 0.7× 83 1.2k
Bernd Kirstein Germany 13 342 0.6× 331 0.6× 514 1.0× 152 1.4× 141 1.6× 97 733
Bernd Fritzsche Germany 14 360 0.6× 344 0.6× 530 1.1× 155 1.4× 153 1.8× 112 791
Aad Dijksma Netherlands 17 623 1.0× 464 0.8× 549 1.1× 54 0.5× 82 0.9× 70 960
J. K. Shaw United States 17 539 0.9× 279 0.5× 206 0.4× 44 0.4× 298 3.4× 59 870
B. M. Brown United Kingdom 13 447 0.7× 275 0.5× 225 0.5× 36 0.3× 150 1.7× 68 631
Marino Badiale Italy 15 718 1.2× 710 1.2× 1.1k 2.3× 36 0.3× 104 1.2× 42 1.3k
M. S. Agranovich Russia 17 656 1.1× 666 1.1× 783 1.6× 20 0.2× 43 0.5× 50 1.2k
Paul Koosis Canada 12 416 0.7× 188 0.3× 686 1.4× 166 1.5× 58 0.7× 25 972
Hans-Christoph Grunau Germany 21 533 0.9× 990 1.7× 1.3k 2.6× 115 1.1× 35 0.4× 61 1.6k

Countries citing papers authored by Mark S. Ashbaugh

Since Specialization
Citations

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

Fields of papers citing papers by Mark S. Ashbaugh

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Mark S. Ashbaugh. 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 Mark S. Ashbaugh. The network helps show where Mark S. Ashbaugh may publish in the future.

Co-authorship network of co-authors of Mark S. Ashbaugh

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

All Works

20 of 20 papers shown
1.
Ashbaugh, Mark S., et al.. (2016). A bound for the eigenvalue counting function for Krein-von Neumann and Friedrichs. Spiral (Imperial College London). 4 indexed citations
2.
Ashbaugh, Mark S., et al.. (2010). On low eigenvalues of the Laplacian with mixed boundary conditions. Journal of Differential Equations. 250(5). 2544–2566. 5 indexed citations
3.
Ashbaugh, Mark S., Rafael D. Benguria, Richard S. Laugesen, & Timo Weidl. (2009). Low Eigenvalues of Laplace and Schrödinger Operators. Oberwolfach Reports. 6(1). 355–428. 7 indexed citations
4.
Ashbaugh, Mark S., Fritz Gesztesy, Marius Mitrea, & Gerald Teschl. (2009). Spectral theory for perturbed Krein Laplacians in nonsmooth domains. Advances in Mathematics. 223(4). 1372–1467. 31 indexed citations
5.
Ashbaugh, Mark S. & Richard S. Laugesen. (1996). Fundamental tones and buckling loads of clamped plates. French digital mathematics library (Numdam). 23(2). 383–402. 21 indexed citations
6.
Ashbaugh, Mark S. & Rafael D. Benguria. (1994). Bounds for ratios of eigenvalues of the Dirichlet Laplacian. Proceedings of the American Mathematical Society. 121(1). 145–150. 4 indexed citations
7.
Ashbaugh, Mark S. & Rafael D. Benguria. (1994). THE RANGE OF VALUES OF λ2/λ1 AND λ3/λ1 FOR THE FIXED MEMBRANE PROBLEM. Reviews in Mathematical Physics. 6(05a). 999–1009. 2 indexed citations
8.
Ashbaugh, Mark S. & Rafael D. Benguria. (1993). Isoperimetric bounds for higher eigenvalue ratios for the n-dimensional fixed membrane problem. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 123(6). 977–985. 11 indexed citations
9.
Ashbaugh, Mark S. & Rafael D. Benguria. (1993). Eigenvalue Ratios for Sturm-Liouville Operators. Journal of Differential Equations. 103(1). 205–219. 31 indexed citations
10.
Ashbaugh, Mark S., et al.. (1992). Periodic potentials with minimal energy bands. Proceedings of the American Mathematical Society. 114(1). 69–77. 4 indexed citations
11.
Ashbaugh, Mark S., et al.. (1992). Periodic Potentials with Minimal Energy Bands. Proceedings of the American Mathematical Society. 114(1). 69–69. 1 indexed citations
12.
Ashbaugh, Mark S. & Rafael D. Benguria. (1992). A second proof of the Payne-Pólya-Weinberger conjecture. Communications in Mathematical Physics. 147(1). 181–190. 30 indexed citations
13.
Ashbaugh, Mark S. & Rafael D. Benguria. (1991). Proof of the Payne-Pólya-Weinberger conjecture. Bulletin of the American Mathematical Society. 25(1). 19–29. 69 indexed citations
14.
Ashbaugh, Mark S. & Rafael D. Benguria. (1991). Some eigenvalue inequalities for a class of Jacobi matrices. Linear Algebra and its Applications. 149. 277–277.
15.
Ashbaugh, Mark S. & Rafael D. Benguria. (1990). Some eigenvalue inequalities for a class of Jacobi matrices. Linear Algebra and its Applications. 136. 215–234. 5 indexed citations
16.
Ashbaugh, Mark S. & Rafael D. Benguria. (1989). Optimal lower bound for the gap between the first two eigenvalues of one-dimensional Schrödinger operators with symmetric single-well potentials. Proceedings of the American Mathematical Society. 105(2). 419–424. 47 indexed citations
17.
Ashbaugh, Mark S. & Rafael D. Benguria. (1989). Optimal Lower Bound for the Gap Between the First Two Eigenvalues of One-Dimensional Schrodinger Operators with Symmetric Single-Well Potentials. Proceedings of the American Mathematical Society. 105(2). 419–419. 13 indexed citations
18.
Ashbaugh, Mark S. & Rafael D. Benguria. (1989). Optimal bounds for ratios of eigenvalues of one-dimensional Schr�dinger operators with Dirichlet boundary conditions and positive potentials. Communications in Mathematical Physics. 124(3). 403–415. 36 indexed citations
19.
Ashbaugh, Mark S. & Evans M. Harrell. (1987). Maximal and minimal eigenvalues and their associated nonlinear equations. Journal of Mathematical Physics. 28(8). 1770–1786. 22 indexed citations
20.
Ashbaugh, Mark S. & J. D. Morgan. (1981). Remarks on Turschner's eigenvalue formula. Journal of Physics A Mathematical and General. 14(4). 809–819. 5 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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