Roger D. Nussbaum
#49,980
Most Influential Person Now
American mathematician
Roger D. Nussbaum's AcademicInfluence.com Rankings
Roger D. Nussbaummathematics Degrees
Mathematics
#3148
World Rank
#4710
Historical Rank
#1182
USA Rank
Algebraic Geometry
#128
World Rank
#135
Historical Rank
#31
USA Rank
Number Theory
#173
World Rank
#228
Historical Rank
#36
USA Rank
Measure Theory
#1197
World Rank
#1524
Historical Rank
#434
USA Rank
Download Badge
Mathematics
Roger D. Nussbaum's Degrees
- PhD Mathematics Princeton University
- Masters Mathematics Princeton University
- Bachelors Mathematics Stanford University
Similar Degrees You Can Earn
Why Is Roger D. Nussbaum Influential?
(Suggest an Edit or Addition)According to Wikipedia, Roger David Nussbaum is an American mathematician, specializing in nonlinear functional analysis and differential equations. Nussbaum graduated in 1965 with a bachelor's degree from Harvard University. He received his Ph.D. in 1969 from the University of Chicago with thesis The Fixed Point Index and Fixed Point Theorems for K-Set Contractions supervised by Felix Browder. At Rutgers University Nussbaum became in 1969 an assistant professor, in 1973 an associate professor, and in 1977 a full professor. He retired there as professor emeritus. He was elected in 2012 a Fellow of the American Mathematical Society.
Roger D. Nussbaum's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Some remarks on a conjecture in parameter adaptive control (1983) (1036)
- Hilbert's Projective Metric and Iterated Nonlinear Maps (1988) (321)
- The radius of the essential spectrum (1970) (268)
- Uniqueness and nonuniqueness for positive radial solutions of Δu+f(u,r)=0 (1985) (258)
- The fixed point index for local condensing maps (1971) (248)
- Global continuation and asymptotic behaviour for periodic solutions of a differential-delay equation (1986) (229)
- Periodic solutions of some nonlinear autonomous functional differential equations (1974) (208)
- Nonlinear Perron-Frobenius Theory (2012) (204)
- Eigenvectors of nonlinear positive operators and the linear Krein-Rutman theorem (1981) (168)
- Periodic solutions for functional differential equations with multiple state-depend time lags (1994) (133)
- Boundary layer phenomena for differential-delay equations with state-dependent time lags, I. (1992) (131)
- The fixed point index and asymptotic fixed point theorems for $k$-set-contractions (1969) (125)
- Some fixed point theorems (1971) (124)
- Periodic solutions of some nonlinear, autonomous functional differential equations. II (1973) (116)
- A differential-delay equation arising in optics and physiology (1989) (115)
- Convexity and log convexity for the spectral radius (1986) (110)
- A global bifurcation theorem with applications to functional differential equations (1975) (109)
- Degree theory for local condensing maps (1972) (99)
- Eigenvalues for a class of homogeneous cone maps arising from max-plus operators (2002) (99)
- The Fixed Point Index And Some Applications (1985) (97)
- Finsler structures for the part metric and Hilbert's projective metric and applications to ordinary differential equations (1994) (93)
- Uniqueness and nonuniqueness for periodic solutions of x′(t) = −g(x(t − 1)) (1979) (92)
- Iterated nonlinear maps and Hilbert’s projective metric. II (1989) (92)
- Entropy minimization, DAD problems, and doubly stochastic kernels (1994) (82)
- A Periodicity Threshold Theorem for Some Nonlinear Integral Equations (1978) (76)
- The fixed point index and fixed point theorems (1993) (76)
- Some asymptotic fixed point theorems (1972) (75)
- A Hopf global bifurcation theorem for retarded functional differential equations (1978) (69)
- Generalizing the Krein–Rutman theorem, measures of noncompactness and the fixed point index (2010) (68)
- A limit set trichotomy for self-mappings of normal cones in banach spaces (1993) (65)
- On variational principles for the generalized principal eigenvalue of second order elliptic operators and some applications (1992) (65)
- Boundary layer phenomena for differential-delay equations with state dependent time lags: II. (1996) (65)
- Differential-delay equations with two time lags (1978) (64)
- Periodic solutions of analytic functional differential equations are analytic. (1973) (59)
- Boundary layer phenomena for differential-delay equations with state-dependent time lags: III (2003) (56)
- Cranberry proanthocyanidins are cytotoxic to human cancer cells and sensitize platinum‐resistant ovarian cancer cells to paraplatin (2009) (54)
- Periodic solutions of special differential equations: an example in non-linear functional analysis (1978) (49)
- The topological degree for noncompact nonlinear mappings in Banach spaces (1968) (46)
- Eigenvectors of Order‐Preserving Linear Operators (1998) (46)
- Positive operators and elliptic eigenvalue problems (1984) (46)
- PERIODIC SOLUTIONS OF SOME NONLINEAR INTEGRAL EQUATIONS (1977) (45)
- Omega limit sets of nonexpansive maps: finiteness and cardinality estimates (1990) (44)
- Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations (2011) (44)
- The range of periods of periodic solutions of x′(t) = − αf(x(t − 1)) (1977) (42)
- Circulant matrices and differential-delay equations (1985) (42)
- Spectral mapping theorems and perturbation theorems for Browder’s essential spectrum (1970) (40)
- A Collatz-Wielandt characterization of the spectral radius of order-preserving homogeneous maps on cones (2011) (40)
- Periodic solutions of nonlinear autonomous functional differential equations (1979) (40)
- Stability of periodic solutions of state-dependent delay-differential equations (2011) (38)
- An elementary proof of the Birkhoff-Hopf theorem (1995) (38)
- Quantitative GC determination of water in small samples (2000) (37)
- Iteration of order preserving subhomogeneous maps on a cone (2004) (36)
- Birkhoff's version of Hilbert's metric and its applications in analysis (2013) (36)
- Topological Methods for Ordinary Differential Equations (1993) (35)
- Continuity of the cone spectral radius (2011) (35)
- Some nonlinear weak ergodic theorems (1990) (33)
- Generalizations of the Perron-Frobenius Theorem for Nonlinear Maps (1999) (33)
- Extension of order-preserving maps on a cone (2003) (32)
- Generalizing the fixed point index (1977) (31)
- A generalization of the Ascoli theorem and an application to functional differential equations (1971) (31)
- Positive solutions of nonlinear elliptic boundary value problems (1975) (31)
- A BIFURCATION GAP FOR A SINGULARLY PERTURBED DELAY EQUATION (1986) (29)
- Asymptotic fixed point theorems for local condensing maps (1971) (27)
- Inequivalent measures of noncompactness (2011) (27)
- Applications of the Birkhoff–Hopf theorem to the spectral theory of positive linear operators (1995) (27)
- The arithmetic-geometric mean and its generalizations for noncommuting linear operators (1988) (27)
- Inequivalent measures of noncompactness and the radius of the essential spectrum (2011) (26)
- Denjoy-Wolff theorems for Hilbert’s and Thompson’s metric spaces (2014) (25)
- Global stability, two conjectures and Maple (2007) (24)
- Tensor Products, Positive Linear Operators, and Delay-Differential Equations (2012) (23)
- Fixed point theorems and Denjoy-Wolff theorems for Hilbert's projective metric in infinite dimensions (2007) (22)
- Estimates for the Number of Solutions of Operator Equations (1971) (22)
- Uniqueness of the fixed point of nonexpansive semidifferentiable maps (2012) (22)
- Estimates of the periods of periodic points for nonexpansive operators (1991) (21)
- Positive operators and Hausdorff dimension of invariant sets (2012) (20)
- Periodic points of positive linear operators and Perron-Frobenius operators (2001) (20)
- Analyticity and Nonanalyticity of Solutions of Delay-Differential Equations (2013) (20)
- Approximation by polynomials with nonnegative coefficients and the spectral theory of positive operators (1998) (18)
- Global bifurcation of periodic solutions of some autonomous functional differential equations (1976) (18)
- Multiple transition layers in a singularly perturbed differential-delay equation (1993) (18)
- Convergence of iterates of a nonlinear operator arising in statistical mechanics (1991) (17)
- Periodic points of nonexpansive maps and nonlinear generalizations of the Perron-Frobenius theory (1998) (16)
- Iterated nonlinear maps and Hilbert's projective metric: a summary (1987) (16)
- Asymptotic analysis of functional differential equations and solutions of long period (1983) (16)
- Denjoy–Wolff theorems, Hilbert metric nonexpansive maps and reproduction–decimation operators (2008) (15)
- Dynamics of a Quadratic Map in Two Complex Variables (2001) (15)
- Wright's equation has no solutions of period four (1989) (15)
- Existence and uniqueness theorems for some functional differential equations of neutral type (1972) (15)
- Entropy Minimization, Hilbert′s Projective Metric, and Scaling Integral Kernels (1993) (14)
- Lower and upper bounds for ω-limit sets of nonexpansive maps (2001) (14)
- $C^m$ Eigenfunctions of Perron–Frobenius operators and a new approach to numerical computation of Hausdorff dimension: applications in $\mathbb R^1$ (2016) (13)
- A metric inequality for the Thompson and Hilbert geometries (2004) (13)
- Cyclic differential equations and period three solutions of differential-delay equations (1982) (12)
- Asymptotic estimates for the periods of periodic solutions of a differential-delay equation. (1984) (12)
- Asymptotic fixed point theory and the beer barrel theorem (2008) (12)
- Lattice isomorphisms and iterates of nonexpansive maps (1994) (12)
- Some Generalizations of the Borsuk‐Ulam Theorem (1977) (12)
- A New Approach to Numerical Computation of Hausdorff Dimension of Iterated Function Systems: Applications to Complex Continued Fractions (2016) (11)
- A NONLINEAR INTEGRAL EQUATION (1981) (10)
- A geometric approach to the fixed point index. (1971) (10)
- A basis theorem for a class of max-plus eigenproblems (2003) (9)
- Iterated linear maps on a cone and Denjoy–Wolff theorems (2006) (9)
- A quadratic integral equation (1980) (8)
- Nonexpansive Periodic Operators in l1 with Application to Superhigh-Frequency Oscillations in a Discontinuous Dynamical System with Time Delay (2001) (7)
- On the uniqueness of the topological degree fork-set-contractions (1974) (7)
- A singular bifurcation problem (1976) (7)
- Some remarks on differential equations of quadratic type (1991) (7)
- Detecting fixed points of nonexpansive maps by illuminating the unit ball (2016) (7)
- Admissible Arrays and a Nonlinear Generalization of Perron–Frobenius Theory (1998) (7)
- Idempotency: Periodic points of nonexpansive maps (1998) (6)
- Quasinormal cones in Banach spaces (1983) (6)
- A folk theorem in the spectral theory of $C_{0}$-semigroups. (1984) (6)
- Arithmetic-geometric means of positive matrices (1987) (6)
- Birkhoff's version of Hilbert's metric and applications (2014) (5)
- Periodic solutions of autonomous functional differential equations (1973) (5)
- Asymptotic estimates for the periods of periodic points of non-expansive maps (2003) (5)
- Chapter 10 Functional differential equations (2002) (4)
- Special and spurious solutions of ()=-((-1)) (1984) (4)
- $${{C^m}}$$Cm Positive Eigenvectors for Linear Operators Arising in the Computation of Hausdorff Dimension (2016) (4)
- Asymptotic homogenization for delay-differential equations and a question of analyticity (2020) (3)
- A correction of "periodic solutions of some nonlinear, autonomous functional differential equations. II" (1974) (3)
- Intricate Structure of the Analyticity Set for Solutions of a Class of Integral Equations (2019) (3)
- Existence, uniqueness and analyticity for periodic solutions of a non-linear convolution equation (2002) (2)
- Hidden Positivity and a New Approach to Numerical Computation of Hausdorff Dimension: Higher Order Methods (2020) (2)
- Special and spurious solutions of x(t) =-αf (x(t-1)) (1984) (2)
- Analytic Solutions of Delay-Differential Equations (2021) (2)
- Limiting Profiles for Solutions of Differential-Delay Equations (2003) (2)
- Notes on the Second Eigenvalue of the Google Matrix (2003) (1)
- Non-expansiveness and nonlinear Perron–Frobenius theory (2012) (1)
- Continuous extension of order-preserving homogeneous maps (2001) (1)
- Nonlinear Perron–Frobenius Theory: Eigenvectors and eigenvalues of nonlinear cone maps (2012) (1)
- Convexity properties of generalizations of the arithmetic-geometric mean (1990) (1)
- Felix Browder (1927-2016) (2018) (0)
- Nonlinear spectral radii of order-preserving maps and infinite horizon zero-sum two-player stochastic games (2012) (0)
- Dynamics of integral-preserving maps (2012) (0)
- Denjoy-Wolff theorems for Hilbert’s and Thompson’s metric spaces (2018) (0)
- Detecting fixed points of nonexpansive maps by illuminating the unit ball (2018) (0)
- Integral Equations and Operator Theory Cm Positive Eigenvectors for Linear Operators Arising in the Computation of Hausdor ff Dimension (2016) (0)
- Bifurcation Theory and Periodic Solutions of Some Autonomous Functional Differential Equations (1976) (0)
- John Mallet-Paret 60 (2016) (0)
- Applications to matrix scaling problems (2012) (0)
- I Integral Equations and Operator Theory Existence, Uniqueness and Analyticity for Periodic Solutions of a Non-linear Convolution Equation. 2 Notations and Results (0)
- Nonlinear Perron–Frobenius Theory: What is nonlinear Perron–Frobenius theory? (2012) (0)
- A New Approach to Numerical Computation of Hausdorff Dimension of Iterated Function Systems: Applications to Complex Continued Fractions (2018) (0)
- Eigenvectors in the interior of the cone (2012) (0)
- Review: N. G. Lloyd, Degree theory (1979) (0)
- Classical Perron–Frobenius theory (2012) (0)
- Sup-norm non-expansive maps (2012) (0)
- The Birkhoff–Hopf theorem (2012) (0)
- Gevrey class regularity for analytic differential-delay equations (2016) (0)
- New Results - Théorie de Perron-Frobenius non-linéaire et application au contrôle optimal et aux jeux/ Non-linear Perron-Frobenius theory, with application to optimal control and games (2006) (0)
- A NOTE ON ATTRACTORS FOR COMPACT SETS1 (2010) (0)
- Dynamics of non-expansive maps (2012) (0)
- Tensor Products, Positive Linear Operators, and Delay-Differential Equations (2013) (0)
- John Mallet-Paret 60 (2015) (0)
- Nonlinear Perron–Frobenius Theory: Dynamics of subhomogeneous maps (2012) (0)
- Intricate Structure of the Analyticity Set for Solutions of a Class of Integral Equations (2019) (0)
- Lower and upper bounds for omega-limit sets of nonexpansive maps. (2000) (0)
This paper list is powered by the following services:
Other Resources About Roger D. Nussbaum
What Schools Are Affiliated With Roger D. Nussbaum?
Roger D. Nussbaum is affiliated with the following schools:
