Lawrence Markus

4.8k total citations · 1 hit paper
69 papers, 3.0k citations indexed

About

Lawrence Markus is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Lawrence Markus has authored 69 papers receiving a total of 3.0k indexed citations (citations by other indexed papers that have themselves been cited), including 20 papers in Mathematical Physics, 18 papers in Geometry and Topology and 17 papers in Applied Mathematics. Recurrent topics in Lawrence Markus's work include Numerical methods for differential equations (9 papers), Algebraic and Geometric Analysis (7 papers) and Advanced Differential Equations and Dynamical Systems (7 papers). Lawrence Markus is often cited by papers focused on Numerical methods for differential equations (9 papers), Algebraic and Geometric Analysis (7 papers) and Advanced Differential Equations and Dynamical Systems (7 papers). Lawrence Markus collaborates with scholars based in United States, United Kingdom and Germany. Lawrence Markus's co-authors include D. M. G. Wishart, Walter Littman, W. N. Everitt, Hidehiko Yamabe, L. Auslander, Kenneth R. Meyer, Eugenio Calabi, F. Hahn, William S. Massey and Robert Ellis and has published in prestigious journals such as Annals of the New York Academy of Sciences, Frontiers in Psychology and Annals of Mathematics.

In The Last Decade

Lawrence Markus

64 papers receiving 2.4k citations

Hit Papers

Foundations of Optimal Control Theory. 1969 2026 1988 2007 1969 400 800 1.2k
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Foundations of Optimal Control Theory.
    1969 1.3k citations Lawrence Markus et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Lawrence Markus United States 22 1.0k 751 693 625 525 69 3.0k
Lamberto Cesari United States 24 1000 1.0× 1.3k 1.7× 412 0.6× 548 0.9× 1.0k 2.0× 66 4.0k
Héctor J. Sussmann United States 27 1.9k 1.8× 437 0.6× 545 0.8× 808 1.3× 381 0.7× 67 3.8k
Alexander Filippov Russia 9 2.0k 1.9× 579 0.8× 203 0.3× 743 1.2× 463 0.9× 34 4.2k
Henry Hermes United States 21 1.6k 1.5× 500 0.7× 159 0.2× 504 0.8× 343 0.7× 49 2.6k
Ronald J. Stern United States 26 1.1k 1.0× 1.4k 1.8× 1.0k 1.5× 1.4k 2.2× 639 1.2× 100 3.7k
Francis Clarke Canada 25 1.7k 1.7× 2.0k 2.7× 417 0.6× 579 0.9× 858 1.6× 81 4.3k
L. C. Evans United States 25 460 0.4× 1.2k 1.7× 548 0.8× 307 0.5× 1.4k 2.6× 34 2.9k
J. W. Craggs United Kingdom 10 583 0.6× 665 0.9× 529 0.8× 273 0.4× 671 1.3× 26 3.7k
Roger D. Nussbaum United States 36 1.5k 1.4× 1.5k 2.0× 824 1.2× 1.1k 1.7× 1.8k 3.4× 116 4.8k
Martino Bardi Italy 21 724 0.7× 1.2k 1.7× 324 0.5× 234 0.4× 929 1.8× 60 3.0k

Countries citing papers authored by Lawrence Markus

Since Specialization
Citations

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

Fields of papers citing papers by Lawrence Markus

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Lawrence Markus

This figure shows the co-authorship network connecting the top 25 collaborators of Lawrence Markus. A scholar is included among the top collaborators of Lawrence Markus 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 Lawrence Markus. Lawrence Markus 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.
Everitt, W. N., et al.. (2006). A continuum of unusual self-adjoint linear partial differential operators. Journal of Computational and Applied Mathematics. 208(1). 164–175. 2 indexed citations
2.
Markus, Lawrence. (2006). Differential Independence of Γ and ζ. Journal of Dynamics and Differential Equations. 19(1). 133–154. 15 indexed citations
3.
Markus, Lawrence. (2004). The Sturm–Liouville group. Journal of Computational and Applied Mathematics. 171(1-2). 335–365. 1 indexed citations
4.
Everitt, W. N., Lawrence Markus, & Michael Plum. (2004). An unusual self-adjoint linear partial differential operator. Transactions of the American Mathematical Society. 357(4). 1303–1324. 8 indexed citations
5.
Markus, Lawrence. (2003). Differential Independence of Meromorphic Functions. Frontiers in Psychology. 9. 407–407. 1 indexed citations
6.
Everitt, W. N. & Lawrence Markus. (1998). Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators. Mathematical surveys and monographs. 83 indexed citations
7.
Mao, Xuerong & Lawrence Markus. (1993). Wave Equation with Stochastic Boundary Values. Journal of Mathematical Analysis and Applications. 177(2). 315–341. 5 indexed citations
8.
Markus, Lawrence, et al.. (1993). Applied Probability Trust 1993. 1 indexed citations
9.
Markus, Lawrence, et al.. (1988). Stochastic oscillators. Journal of Differential Equations. 71(2). 288–314. 33 indexed citations
10.
Markus, Lawrence & George R. Sell. (1974). Control in conservative dynamical systems: Recurrence and capture in aperiodic fields. Journal of Differential Equations. 16(3). 472–505. 4 indexed citations
11.
Markus, Lawrence. (1973). Exponentials in algebraic matrix groups. Advances in Mathematics. 11(3). 351–367. 5 indexed citations
12.
Markus, Lawrence. (1972). Topological types of polynomial differential equations. Transactions of the American Mathematical Society. 171(0). 157–178. 11 indexed citations
13.
Markus, Lawrence. (1971). Lectures in Differentiable Dynamics. 17 indexed citations
14.
Markus, Lawrence. (1969). Parallel dynamical systems. Topology. 8(1). 47–57. 21 indexed citations
15.
Markus, Lawrence & Neal R. Amundson. (1968). Nonlinear boundary-value problems arising in chemical reactor theory. Journal of Differential Equations. 4(1). 102–113. 21 indexed citations
16.
Markus, Lawrence & Hidehiko Yamabe. (1960). Global stability criteria for differential systems. OUKA (Osaka University Knowledge Archive) (Osaka University). 12(2). 305–317. 139 indexed citations
17.
Markus, Lawrence, et al.. (1959). Flat Lorentz 3-manifolds. Memoirs of the American Mathematical Society. 0(30). 0–0. 17 indexed citations
18.
Markus, Lawrence. (1953). Invariant Measures Defined by Differential Equations. Proceedings of the American Mathematical Society. 4(1). 89–89. 1 indexed citations
19.
Markus, Lawrence. (1953). A uniqueness theorem for ordinary differential equations involving smooth functions. Proceedings of the American Mathematical Society. 4(1). 88–88. 1 indexed citations
20.
Markus, Lawrence. (1953). Invariant measures defined by differential equations. Proceedings of the American Mathematical Society. 4(1). 89–91. 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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