2026 Roger D. Nussbaum: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	46	1353	1161	604	480	148	8884

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

1353

1161

604

480

148

8884

Research.com Recognitions

2013 - Fellow of the American Mathematical Society

Overview

Roger D. Nussbaum is affiliated with Rutgers, The State University of New Jersey in the United States. Their research primarily spans the field of Mathematics with a focus on subfields such as Numerical Analysis, Computational Mechanics, Mathematical Physics, Public Health, Environmental and Occupational Health, and Computational Theory and Mathematics.

The scientist's work concentrates on several main topics including Advanced Numerical Analysis Techniques, Mathematical Dynamics and Fractals, Differential Equations and Numerical Methods, Mathematical and Theoretical Epidemiology and Ecology Models, Numerical Methods for Differential Equations, Iterative Methods for Nonlinear Equations, and Matrix Theory and Algorithms.

Recent papers authored by or involving Roger D. Nussbaum encompass the following:

Comparison of Hausdorff dimension of (₁) and (₂) for ₁,₂⊂ℕ, 2025, Contemporary Mathematics - American Mathematical Society
Analytic Solutions of Delay-Differential Equations, 2021, Journal of Dynamics and Differential Equations
Hidden positivity and a new approach to numerical computation of Hausdorff dimension: higher order methods, 2021, Journal of Fractal Geometry Mathematics of Fractals and Related Topics
Hidden Positivity and a New Approach to Numerical Computation of Hausdorff Dimension: Higher Order Methods, 2020, arXiv (Cornell University)

The frequent coauthors who have collaborated with Roger D. Nussbaum include:

Richard S. Falk
John Mallet-Paret

The main venues where this scientist has published works are:

Journal of Dynamics and Differential Equations
Journal of Fractal Geometry Mathematics of Fractals and Related Topics
arXiv (Cornell University)
Contemporary Mathematics - American Mathematical Society

Roger D. Nussbaum was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

Some remarks on a conjecture in parameter adaptive control

Roger D. Nussbaum

1676
Citations
Hilbert's Projective Metric and Iterated Nonlinear Maps

Unknown

356
Citations
Uniqueness and nonuniqueness for positive radial solutions of Δu+f(u,r)=0

Wei‐Ming ‐M Ni;Roger D. Nussbaum

344
Citations
The radius of the essential spectrum

Roger D. Nussbaum

341
Citations
The fixed point index for local condensing maps

Roger D. Nussbaum

333
Citations
Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation

John Mallet-Paret;Roger D. Nussbaum

288
Citations
Nonlinear Perron-Frobenius Theory

Unknown

264
Citations
Periodic solutions of some nonlinear autonomous functional differential equations

Roger D. Nussbaum

263
Citations
Eigenvectors of nonlinear positive operators and the linear Krein-Rutman theorem

Roger D. Nussbaum

201
Citations
Boundary layer phenomena for differential-delay equations with state-dependent time lags, I.

John Mallet-Paret;John Mallet-Paret;Roger D. Nussbaum;Roger D. Nussbaum

164
Citations
A differential-delay equation arising in optics and physiology

John Mallet-Paret;Roger D. Nussbaum

158
Citations
The fixed point index and asymptotic fixed point theorems for $k$-set-contractions

Unknown

151
Citations
Convexity and log convexity for the spectral radius

Roger D. Nussbaum

150
Citations
Periodic solutions of some nonlinear, autonomous functional differential equations. II

Roger D. Nussbaum;Roger D. Nussbaum

145
Citations
Periodic solutions for functional differential equations with multiple state-depend time lags

John Mallet-Paret;Roger D. Nussbaum;Panagiotis Paraskevopoulos

144
Citations
Eigenvalues for a class of homogeneous cone maps arising from max-plus operators

John Mallet-Paret;Roger D. Nussbaum

132
Citations
Degree theory for local condensing maps

Roger D Nussbaum

130
Citations
Some fixed point theorems

Unknown

128
Citations
A global bifurcation theorem with applications to functional differential equations

Roger D Nussbaum

126
Citations
The fixed point index and some applications

Roger D. Nussbaum

118
Citations
Uniqueness and nonuniqueness for periodic solutions of x′(t) = −g(x(t − 1))

Roger D Nussbaum

115
Citations
Entropy minimization, DAD problems, and doubly stochastic kernels

Jonathan M. Borwein;Adrian Lewis;R. Nussbaum

103
Citations
A Periodicity Threshold Theorem for Some Nonlinear Integral Equations

Roger Nussbaum

101
Citations
Some asymptotic fixed point theorems

Roger D. Nussbaum

99
Citations

Frequent Co-Authors

John Mallet-Paret Brown University

Richard S. Falk Rutgers, The State University of New Jersey

Stéphane Gaubert École Polytechnique

Joel E. Cohen Rockefeller University

Michael Scheutzow Technical University of Berlin

Jonathan M. Borwein University of Newcastle Australia

Wei Ming Ni Chinese University of Hong Kong, Shenzhen

Shui-Nee Chow Georgia Institute of Technology

Adrian S. Lewis Cornell University

External Links

Wikipedia of Roger D. Nussbaum Personal website of Roger D. Nussbaum

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