Lawrence Markus

4.8k citations

69 papers · 3.0k indexed · 1 hit paper · h-index 22

Impact in

Mathematical Physics top 1%
Geometry and Topology top 1%
- Advanced Differential Equations and Dynamical Systems

Papers in ⓘ

Mathematical Physics 20
- Mathematical Dynamics and Fractals 6
Geometry and Topology 18
- Advanced Differential Equations and Dynamical Systems 7

Co-authors: D. M. G. Wishart (1 shared paper)Walter Littman (2 shared papers)W. N. Everitt (9 shared papers)Hidehiko Yamabe (1 shared paper)L. Auslander (4 shared papers)Kenneth R. Meyer (2 shared papers)Eugenio Calabi (1 shared paper)F. Hahn (2 shared papers)
Journals: Transactions of the American Mathematical Society (7 papers)Memoirs of the American Mathematical Society (5 papers)Annals of Mathematics (5 papers)Journal of Differential Equations (4 papers)American Journal of Mathematics (3 papers)
Partner nations: United States United Kingdom Germany

In The Last Decade

Lawrence Markus

64 papers receiving 2.4k citations

Hit Papers

align trajectories log scale

Foundations of Optimal Control Theory. 1969 · 1.3k citations

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if any of the following hold:

it has ≥500 total citations;
it reaches ≥1.5× the top-1% citation threshold for papers in the same subfield and year (the threshold is the minimum needed to enter the top 1%, not the average within it);
it reaches the top citation threshold in at least one of its specific research topics.

1969 Journal of the Royal Statistical Society Series A (General)

Peers

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-authors

The 23 scholars most cited alongside Lawrence Markus, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Lawrence Markus Line = papers co-authored together Lawrence Markus links everyone, so they are left out of the graph.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Showing the 20 most-cited of 69 papers — load more, or switch the sort, to bring in the rest.

#	Work
1	Foundations of Optimal Control Theory. Journal of the Royal Statistical Society Series A (General) ·D. M. G. Wishart, E. B. Lee, Lawrence Markus Hit paper breakdown →	1969	1288
2	Flows on Homogeneous Spaces. American Mathematical Monthly ·Robert Ellis, L. Auslander, L. Green, F. Hahn, Lawrence Markus, William S. Massey, Leon A. Greenberg	1964	193
3	Global stability criteria for differential systems OUKA (Osaka University Knowledge Archive) (Osaka University) ·Lawrence Markus, Hidehiko Yamabe	1960	139
4	Stabilization of a hybrid system of elasticity by feedback boundary damping Annali di Matematica Pura ed Applicata (1923 -) ·Walter Littman, Lawrence Markus	1988	131
5	Global structure of ordinary differential equations in the plane Transactions of the American Mathematical Society ·Lawrence Markus	1954	121
6	On the Existence of Optimal Controls Journal of Basic Engineering ·Lawrence Markus, E. B. Lee	1962	99
7	Optimal control for nonlinear processes Archive for Rational Mechanics and Analysis ·E. B. Lee, Lawrence Markus	1961	87
8	Relativistic Space Forms Annals of Mathematics ·Eugenio Calabi, Lawrence Markus	1962	84
9	Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators Mathematical surveys and monographs ·W. N. Everitt, Lawrence Markus	1998	83
10	Exact boundary controllability of a hybrid system of elasticity Archive for Rational Mechanics and Analysis ·Walter Littman, Lawrence Markus	1988	79
11	Generic Hamiltonian dynamical systems are neither integrable nor ergodic Memoirs of the American Mathematical Society ·Lawrence Markus, Kenneth R. Meyer	1974	75
12	Holonomy of Flat Affinely Connected Manifolds Annals of Mathematics ·L. Auslander, Lawrence Markus	1955	53
13	Continuous matrices and the stability of differential systems Mathematische Zeitschrift ·Lawrence Markus	1955	34
14	Controllability of Nonlinear Processes Lawrence Markus	1965	34
15	Stochastic oscillators Journal of Differential Equations ·Lawrence Markus, Ananda Weerasinghe	1988	33
16	Line Element Fields and Lorentz Structures on Differentiable Manifolds Annals of Mathematics ·Lawrence Markus	1955	30
17	Complex symplectic geometry with applications to ordinary differential operators Transactions of the American Mathematical Society ·W. N. Everitt, Lawrence Markus	1999	28
18	Saddle Points for Linear Differential Games SIAM Journal on Control ·Robert J. Elliott, N. J. Kalton, Lawrence Markus	1973	24
19	Periodic Orbits and Solenoids in Generic Hamiltonian Dynamical Systems American Journal of Mathematics ·Lawrence Markus, Kenneth R. Meyer	1980	22
20	Nonlinear boundary-value problems arising in chemical reactor theory Journal of Differential Equations ·Lawrence Markus, Neal R. Amundson	1968	21

About Lawrence Markus

Lawrence Markus is a scholar working on Mathematical Physics, Geometry and Topology, Applied Mathematics, Numerical Analysis and Computational Theory and Mathematics, having authored 69 papers that have together received 3.0k indexed citations. Recurring topics across this work include Numerical methods for differential equations (9 papers), Algebraic and Geometric Analysis (7 papers), Advanced Differential Equations and Dynamical Systems (7 papers), Mathematical Dynamics and Fractals (6 papers), Advanced Mathematical Modeling in Engineering (5 papers), Differential Equations and Numerical Methods (5 papers), Stability and Controllability of Differential Equations (5 papers) and Quantum chaos and dynamical systems (5 papers). The work is most often cited by research in Mathematical Physics (693 citations), Geometry and Topology (625 citations), Numerical Analysis (331 citations), Applied Mathematics (525 citations) and Computational Theory and Mathematics (751 citations). Lawrence Markus has collaborated with scholars based in United States, United Kingdom and Germany. Frequent co-authors include D. M. G. Wishart, Walter Littman, W. N. Everitt, Hidehiko Yamabe, L. Auslander, Kenneth R. Meyer, Eugenio Calabi, F. Hahn, Robert Ellis and William S. Massey. Their work appears in journals such as Transactions of the American Mathematical Society, Memoirs of the American Mathematical Society, Annals of Mathematics, Journal of Differential Equations and American Journal of Mathematics.

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.

Explore authors with similar magnitude of impact