Roger D. Nussbaum

7.5k total citations · 1 hit paper
116 papers, 4.8k citations indexed

About

Roger D. Nussbaum is a scholar working on Applied Mathematics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Roger D. Nussbaum has authored 116 papers receiving a total of 4.8k indexed citations (citations by other indexed papers that have themselves been cited), including 54 papers in Applied Mathematics, 46 papers in Geometry and Topology and 41 papers in Computational Theory and Mathematics. Recurrent topics in Roger D. Nussbaum's work include Nonlinear Differential Equations Analysis (34 papers), Advanced Differential Equations and Dynamical Systems (27 papers) and Differential Equations and Numerical Methods (24 papers). Roger D. Nussbaum is often cited by papers focused on Nonlinear Differential Equations Analysis (34 papers), Advanced Differential Equations and Dynamical Systems (27 papers) and Differential Equations and Numerical Methods (24 papers). Roger D. Nussbaum collaborates with scholars based in United States, United Kingdom and Netherlands. Roger D. Nussbaum's co-authors include John Mallet‐Paret, Wei‐Ming Ni, Bas Lemmens, Panagiotis Paraskevopoulos, Sjoerd M. Verduyn Lunel, Ulrich Krause, Yehuda Pinchover, Mario Martelli, Jean Mawhin and Patrick Fitzpatrick and has published in prestigious journals such as Communications on Pure and Applied Mathematics, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Roger D. Nussbaum

114 papers receiving 4.1k citations

Hit Papers

Some remarks on a conjecture in parameter adaptive control 1983 2026 1997 2011 1983 250 500 750
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. Some remarks on a conjecture in parameter adaptive control
    1983 976 citations Roger D. Nussbaum profile →

Peers

Roger D. Nussbaum
Arrigo Cellina Italy
Wolfgang Walter Germany
Francis Clarke Canada
Klaus Deimling Germany
Jean Mawhin Belgium
A. M. Fink United States
Ronald J. Stern United States
Lynn Erbe United States
Alexander Filippov Russia
W. A. Coppel Australia
Arrigo Cellina Italy
Roger D. Nussbaum
Citations per year, relative to Roger D. Nussbaum Roger D. Nussbaum (= 1×) peers Arrigo Cellina

Countries citing papers authored by Roger D. Nussbaum

Since Specialization
Citations

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

Fields of papers citing papers by Roger D. Nussbaum

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Roger D. Nussbaum. 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 Roger D. Nussbaum. The network helps show where Roger D. Nussbaum may publish in the future.

Co-authorship network of co-authors of Roger D. Nussbaum

This figure shows the co-authorship network connecting the top 25 collaborators of Roger D. Nussbaum. A scholar is included among the top collaborators of Roger D. Nussbaum 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 Roger D. Nussbaum. Roger D. Nussbaum 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.
Falk, Richard S. & Roger D. Nussbaum. (2021). Hidden positivity and a new approach to numerical computation of Hausdorff dimension: higher order methods. 9(1). 23–72. 1 indexed citations
2.
Mallet‐Paret, John & Roger D. Nussbaum. (2011). Stability of periodic solutions of state-dependent delay-differential equations. Journal of Differential Equations. 250(11). 4085–4103. 26 indexed citations
3.
Singh, Ajay, Kyu Kwang Kim, Roger D. Nussbaum, et al.. (2009). Cranberry proanthocyanidins are cytotoxic to human cancer cells and sensitize platinum‐resistant ovarian cancer cells to paraplatin. Phytotherapy Research. 23(8). 1066–1074. 55 indexed citations
4.
Nussbaum, Roger D., et al.. (2006). Iterated linear maps on a cone and Denjoy–Wolff theorems. Linear Algebra and its Applications. 416(2-3). 615–626. 4 indexed citations
5.
Borwein, Jonathan M., Adrian S. Lewis, & Roger D. Nussbaum. (1994). Entropy Minimization, DAD Problems, and Doubly Stochastic Kernels. Journal of Functional Analysis. 123(2). 264–307. 48 indexed citations
6.
Nussbaum, Roger D.. (1993). Entropy Minimization, Hilbert′s Projective Metric, and Scaling Integral Kernels. Journal of Functional Analysis. 115(1). 45–99. 6 indexed citations
7.
Nussbaum, Roger D. & Joel E. Cohen. (1990). Convexity properties of generalizations of the arithmetic-geometric mean. Numerical Functional Analysis and Optimization. 11(1-2). 33–44. 1 indexed citations
8.
Nussbaum, Roger D. & Joel E. Cohen. (1988). The arithmetic-geometric mean and its generalizations for noncommuting linear operators. French digital mathematics library (Numdam). 15(2). 239–308. 17 indexed citations
9.
Nussbaum, Roger D.. (1986). Convexity and log convexity for the spectral radius. Linear Algebra and its Applications. 73. 59–122. 58 indexed citations
10.
Nussbaum, Roger D.. (1985). Circulant matrices and differential-delay equations. Journal of Differential Equations. 60(2). 201–217. 32 indexed citations
11.
Nussbaum, Roger D.. (1980). A quadratic integral equation. French digital mathematics library (Numdam). 7(3). 375–480. 7 indexed citations
12.
Nussbaum, Roger D.. (1979). Uniqueness and nonuniqueness for periodic solutions of x′(t) = −g(x(t − 1)). Journal of Differential Equations. 34(1). 25–54. 60 indexed citations
13.
Nussbaum, Roger D.. (1978). A Hopf Global Bifurcation Theorem for Retarded Functional Differential Equations. Transactions of the American Mathematical Society. 238. 139–139. 7 indexed citations
14.
Nussbaum, Roger D.. (1978). A Hopf global bifurcation theorem for retarded functional differential equations. Transactions of the American Mathematical Society. 238(0). 139–164. 49 indexed citations
15.
Nussbaum, Roger D.. (1977). The range of periods of periodic solutions of x′(t) = − αf(x(t − 1)). Journal of Mathematical Analysis and Applications. 58(2). 280–292. 25 indexed citations
16.
Nussbaum, Roger D.. (1975). A global bifurcation theorem with applications to functional differential equations. Journal of Functional Analysis. 19(4). 319–338. 66 indexed citations
17.
Nussbaum, Roger D.. (1975). Positive solutions of nonlinear elliptic boundary value problems. Journal of Mathematical Analysis and Applications. 51(2). 461–482. 39 indexed citations
18.
Nussbaum, Roger D.. (1973). Periodic solutions of some nonlinear, autonomous functional differential equations. II. Journal of Differential Equations. 14(2). 360–394. 86 indexed citations
19.
Nussbaum, Roger D.. (1972). Some asymptotic fixed point theorems. Transactions of the American Mathematical Society. 171(0). 349–375. 56 indexed citations
20.
Nussbaum, Roger D.. (1971). A generalization of the Ascoli theorem and an application to functional differential equations. Journal of Mathematical Analysis and Applications. 35(3). 600–610. 30 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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