Roger D. Nussbaum

7.5k citations

116 papers · 4.8k indexed · 1 hit paper · h-index 36

Applied Mathematics top 0.2%
Computational Theory and Mathematics top 0.2%
Control and Systems Engineering top 0.5%
Geometry and Topology top 0.5%
Numerical Analysis top 0.5%

Co-authors: John Mallet‐Paret Wei‐Ming Ni Bas Lemmens Panagiotis Paraskevopoulos Sjoerd M. Verduyn Lunel Ulrich Krause Yehuda Pinchover Mario Martelli
Topics: Nonlinear Differential Equations Analysis (34 papers)Advanced Differential Equations and Dynamical Systems (27 papers)Differential Equations and Numerical Methods (24 papers)
Cited by: Numerical Analysis Applied Mathematics Geometry and Topology
Journals: Communications on Pure and Applied Mathematics Lecture notes in mathematics Journal of Mathematical Analysis and Applications
Partner nations: United States United Kingdom Netherlands

In The Last Decade

Roger D. Nussbaum

114 papers receiving 4.1k citations

Hit Papers

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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.

Some remarks on a conjecture in parameter adaptive control

1983 976 citations Roger D. Nussbaum profile →

Peers

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

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20 of 20 papers shown

#	Work	Indexed citations
1	Hidden positivity and a new approach to numerical computation of Hausdorff dimension: higher order methods 2021 ·Richard S. Falk,Roger D. Nussbaum	1
2	Stability of periodic solutions of state-dependent delay-differential equations 2011 ·Journal of Differential Equations ·John Mallet‐Paret,Roger D. Nussbaum	26
3	Cranberry proanthocyanidins are cytotoxic to human cancer cells and sensitize platinum‐resistant ovarian cancer cells to paraplatin 2009 ·Phytotherapy Research ·Ajay Singh,Kyu Kwang Kim,(unknown),Roger D. Nussbaum,Mónica S. Torres,Laurent Brard,Nicholi Vorsa	55
4	Iterated linear maps on a cone and Denjoy–Wolff theorems 2006 ·Linear Algebra and its Applications ·(unknown),Roger D. Nussbaum	4
5	Entropy Minimization, DAD Problems, and Doubly Stochastic Kernels 1994 ·Journal of Functional Analysis ·Jonathan M. Borwein,Adrian S. Lewis,Roger D. Nussbaum	48
6	Entropy Minimization, Hilbert′s Projective Metric, and Scaling Integral Kernels 1993 ·Journal of Functional Analysis ·Roger D. Nussbaum	6
7	Convexity properties of generalizations of the arithmetic-geometric mean 1990 ·Numerical Functional Analysis and Optimization ·Roger D. Nussbaum,Joel E. Cohen	1
8	The arithmetic-geometric mean and its generalizations for noncommuting linear operators 1988 ·French digital mathematics library (Numdam) ·Roger D. Nussbaum,Joel E. Cohen	17
9	Convexity and log convexity for the spectral radius 1986 ·Linear Algebra and its Applications ·Roger D. Nussbaum	58
10	Circulant matrices and differential-delay equations 1985 ·Journal of Differential Equations ·Roger D. Nussbaum	32
11	A quadratic integral equation 1980 ·French digital mathematics library (Numdam) ·Roger D. Nussbaum	7
12	Uniqueness and nonuniqueness for periodic solutions of x′(t) = −g(x(t − 1)) 1979 ·Journal of Differential Equations ·Roger D. Nussbaum	60
13	A Hopf Global Bifurcation Theorem for Retarded Functional Differential Equations 1978 ·Transactions of the American Mathematical Society ·Roger D. Nussbaum	7
14	A Hopf global bifurcation theorem for retarded functional differential equations 1978 ·Transactions of the American Mathematical Society ·Roger D. Nussbaum	49
15	The range of periods of periodic solutions of x′(t) = − αf(x(t − 1)) 1977 ·Journal of Mathematical Analysis and Applications ·Roger D. Nussbaum	25
16	A global bifurcation theorem with applications to functional differential equations 1975 ·Journal of Functional Analysis ·Roger D. Nussbaum	66
17	Positive solutions of nonlinear elliptic boundary value problems 1975 ·Journal of Mathematical Analysis and Applications ·Roger D. Nussbaum	39
18	Periodic solutions of some nonlinear, autonomous functional differential equations. II 1973 ·Journal of Differential Equations ·Roger D. Nussbaum	86
19	Some asymptotic fixed point theorems 1972 ·Transactions of the American Mathematical Society ·Roger D. Nussbaum	56
20	A generalization of the Ascoli theorem and an application to functional differential equations 1971 ·Journal of Mathematical Analysis and Applications ·Roger D. Nussbaum	30

About Roger D. Nussbaum

Roger D. Nussbaum is a scholar working on Numerical Analysis, Geometry and Topology and Applied Mathematics, having authored 116 papers that have together received 4.8k indexed citations. Recurring topics across this work include Nonlinear Differential Equations Analysis (34 papers), Advanced Differential Equations and Dynamical Systems (27 papers) and Differential Equations and Numerical Methods (24 papers). The work is most often cited by research in Numerical Analysis (974 citations), Applied Mathematics (1.8k citations) and Geometry and Topology (1.1k citations). Roger D. Nussbaum has collaborated with scholars based in United States, United Kingdom and Netherlands. Frequent 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. Their work appears in journals such as Communications on Pure and Applied Mathematics, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

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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