Jürgen Moser | Academic Influence

Jürgen Moser's AcademicInfluence.com Rankings

Jürgen Moser

Mathematics

#86

World Rank

#241

Historical Rank

Measure Theory

#246

World Rank

#382

Historical Rank

mathematics Degrees

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Mathematics

Jürgen Moser's Degrees

PhD Mathematics University of Göttingen

Why Is Jürgen Moser Influential?

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According to Wikipedia, Jürgen Kurt Moser was a German-American mathematician, honored for work spanning over four decades, including Hamiltonian dynamical systems and partial differential equations. Life Moser's mother Ilse Strehlke was a niece of the violinist and composer Louis Spohr. His father was the neurologist Kurt E. Moser , who was born to the merchant Max Maync and Clara Moser . The latter descended from 17th century French Huguenot immigrants to Prussia. Jürgen Moser's parents lived in Königsberg, German empire and resettled in Stralsund, East Germany as a result of the Second World War. Moser attended the Wilhelmsgymnasium in his hometown, a high school specializing in mathematics and natural sciences education, from which David Hilbert had graduated in 1880. His older brother Friedrich Robert Ernst Moser served in the German Army and died in Schloßberg during the East Prussian offensive.

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Jürgen Moser'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

Stable and Random Motions in Dynamical Systems (1975) (1359)
On the volume elements on a manifold (1965) (1061)
Three integrable Hamiltonian systems connected with isospectral deformations (1975) (1007)
On Harnack's theorem for elliptic differential equations† (1961) (927)
Lectures on Celestial Mechanics (1971) (841)
A Harnack inequality for parabolic di2erential equations (1964) (776)
On invariant curves of area-preserving mappings of an anulus (1962) (752)
A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations (1960) (742)
Convergent series expansions for quasi-periodic motions (1967) (586)
Real hypersurfaces in complex manifolds (1974) (564)
A rapidly convergent iteration method and non-linear partial differential equations - I (1966) (538)
Discrete versions of some classical integrable systems and factorization of matrix polynomials (1991) (530)
Regularization of kepler's problem and the averaging method on a manifold (1970) (458)
A theory of nonlinear networks. I (1964) (418)
Finitely many mass points on the line under the influence of an exponential potential -- an integrable system (1975) (406)
The rotation number for almost periodic potentials (1983) (399)
On a partial differential equation involving the Jacobian determinant (1990) (366)
Periodic orbits near an equilibrium and a theorem by Alan Weinstein (1976) (304)
Stable and Random Motions in Dynamical Systems: With Special Emphasis on Celestial Mechanics. (1973) (301)
On a class of polynomials connected with the Korteweg-deVries equation (1978) (296)
Geometry of Quadrics and Spectral Theory (1980) (283)
Dynamical Systems, Theory and Applications (1975) (272)
A NEW TECHNIQUE FOR THE CONSTRUCTION OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS. (1961) (266)
A rapidly convergent iteration method and non-linear differential equations = II (1966) (223)
New aspects in the theory of stability of Hamiltonian systems (1958) (216)
The analytic invariants of an area‐preserving mapping near a hyperbolic fixed point (1956) (204)
On a pointwise estimate for parabolic differential equations (1971) (201)
Normal forms for real surfaces in C2 near complex tangents and hyperbolic surface transformations (1983) (198)
On a Nonlinear Problem in Differential Geometry (1973) (194)
Minimal solutions of variational problems on a torus (1986) (186)
On the generalization of a theorem of A. Liapounoff (1958) (160)
Notes on Dynamical Systems (2005) (147)
An extension of a result by Dinaburg and Sinai on quasi-periodic potentials (1984) (147)
An example of a Schroedinger equation with almost periodic potential and nowhere dense spectrum (1981) (137)
Monotone twist mappings and the calculus of variations (1986) (130)
The order of a singularity in Fuchs' theory (1959) (120)
Integrable Hamiltonian systems (2005) (117)
One-dimensional variational problems (2003) (116)
On the Theory of Quasiperiodic Motions (1966) (112)
On a theorem of Anosov (1969) (108)
Integrable Hamiltonian systems and spectral theory (2003) (99)
The rotation number for almost periodic potentials (1982) (93)
On commuting circle mappings and simultaneous Diophantine approximations (1990) (86)
Recent developments in the theory of Hamiltonian systems (1986) (86)
Quasi-periodic Solutions for the three-body problem (1966) (76)
Analytic surfaces in C^2 and their local hull of holomorphy (1985) (75)
Correetion to “A Harnack Inequality for Parabolic Differential Equations” (1967) (72)
A fixed point theorem in symplectic geometry (1978) (67)
A stability theorem for minimal foliations on a torus (1988) (64)
Combination tones for Duffing's equation (1965) (61)
Invariant Measures on G/γ for Split Simple Lie-groups G (2004) (54)
Lectures on Hamiltonian systems . Rigorous and formal stability of orbits about an oblate planet (1968) (54)
On a Liouville-type theorem for linear and nonlinear elliptic differential equations on a torus (1992) (53)
Is the solar system stable? (1978) (53)
Selected Chapters in the Calculus of Variations (2003) (51)
Proof of a generalized from of a fixed point theorem due to G. D. Birkhoff (1977) (51)
Bistable Systems of Differential Equations with Applications to Tunnel Diode Circuits (1961) (45)
Minimal foliations on a torus (1989) (42)
Quasi-periodic solutions of nonlinear elliptic partial differential equations (1989) (41)
On quadratic symplectic mappings (1994) (38)
Singular perturbation of eigenvalue problems for linear differential equations of even order (1955) (30)
Nonexistence of integrals for canonical systems of differential equations (1955) (30)
The scattering problem for some particle systems on the line (1977) (23)
On nonoscillating networks (1967) (22)
Perspectives in mathematics : anniversary of Oberwolfach 1984 (1984) (20)
Perturbation Theory for Almost Periodic Solutions for Undamped Nonlinear Differential Equations (1963) (19)
Break-down of stability (1986) (19)
Ergodic theory : a seminar (1975) (17)
Calculus of variations and supplementary notes and exercises, 1945-1946 (1956) (16)
Proceedings of the Celestial Mechanics Conference: Stability of asteroids (1958) (15)
Dynamical Systems: C.I.M.E. Lectures, Bressanone, Italy, June 1978 (1980) (14)
Some Results on the Stability of Nonlinear Networks Containing Negative Resistances (1964) (14)
Addendum to “periodic orbits near an equilibrium and a theorem by alan weinstein” (1978) (12)
Quasilinearization & Nonlinear Boundary-Value Problems (1967) (11)
On the persistence of pseudo-holomorphic curves on an almost complex torus (with an appendix by Jürgen Pöschel) (1995) (10)
Two-dimensional ‘discrete hydrodynamics’ and Monge–Ampère equations (2002) (9)
Erratum: ``The rotation number for almost periodic potentials'' (1983) (9)
Holomorphic equivalence and normal forms of hyper-surfaces (1975) (9)
Analysis, Et Cetera: Research Papers Published in Honor of Jurgen Moser's 60th Birthday (1990) (8)
Smooth approximation of mather sets of monotone twist mappings (1994) (8)
Dynamical systems — Past and present (2008) (7)
On the stationary Schrödinger equation with a Quasi-periodic potential (1984) (5)
Old and New Applications of Kam Theory (1999) (5)
An Unusual Variational Problem Connected with Mather’s Theory for Monotone Twist Mappings (1994) (5)
Erratum to: Real hypersurfaces in complex manifolds (1983) (5)
Fritz John Collected Papers (1985) (4)
NOTE ON ASYMPTOTIC EXPANSIONS (1959) (4)
Radio and the law (1947) (4)
On the Construction of Invariant Curves and Mather Sets Via a Regularized Variational Principle (1987) (4)
Three Integrable Hamiltonian Systems Connected with Isospectral Deformations**This work was partially supported by the National Science Foundation, Grant No. NSF-GP-42298X. (1976) (3)
Stability Theory in Celestial Mechanics (1974) (3)
Review: N. N. Bogoljubov, Ju. A. Mitropoliskii and A. M. Samoilenko, Methods of accelerated convergence in nonlinear mechanics (1977) (3)
A FEW THINGS I LEARNT FROM (2008) (2)
Stable and unstable motion in dynamical systems (2008) (2)
A LEMMA ON HYPERBOLIC FIXED POINTS OF DIFFEOMORPHISMS (1974) (2)
On a Class of Quasi-Periodic Solutions for Hamiltonian Systems (1973) (1)
On the Differential Equations of Electrical Circuits and the Global Nature of the Solutions (1963) (1)
A Coding Theorem for the Discrete Memoryless Broadcast Channel (1979) (1)
Nearly integrable and integrable systems (2008) (1)
Printed in the United Kingdom Two-dimensional ‘ discrete hydrodynamics ’ and Monge – Ampère equations (0)
On the boundedness of the solution and the singularity of the Störmer problem (1970) (0)
Discrete Systems, Applications (2003) (0)
The Three-Body Problem (1995) (0)
Extremal fields and global minimals (2003) (0)
Fields Medals (III): A Broad Attack on Analysis Problems. (1978) (0)
V. EXISTENCE PROOF IN THE PRESENCE OF SMALL DIVISORS (2001) (0)
Publications of Fritz John (1985) (0)
The stability behavior of the solutions of hamiltonian systems (1963) (0)
Assembly for a vehicle door (2002) (0)
Se p 20 00 Spin Calogero-Moser systems associated with simple Lie algebras ( In memory of Jürgen Moser ) (2000) (0)
Commentary on: [L 29], [L 38], and [L 47] (1998) (0)
Remarks on the Preceding Paper of Louis N. Howard (1958) (0)
Commentary on: [L 29] Transformation Theory of Non-Linear Differential Equations of the Second Order [L 38] A Second Order Differential Equation with Singular Solutions [L 47] Small Periodic Perturbations of an Autonomous System with a Stable Orbit (1998) (0)
BOOKS AND SURVEY ARTICLES (2001) (0)
V. FINAL REMARKS (2001) (0)
Placing Counters to Illustrate Burnside's Lemma (1979) (0)
Apparatus and method for feeding a customer network with the electric power of a supply network (2008) (0)
Apparatus for powering a customer network with the electric power of a supply network (2008) (0)
II. STABILITY PROBLEMS (2001) (0)
Driver for a window pane of a motor vehicle (2007) (0)
Addresses on the work of the 1986 fields medalists and Nevanlinna prize winner (1988) (0)
VI. PROOFS AND DETAILS FOR CHAPTER III (2001) (0)
III. STATISTICAL BEHAVIOR (2001) (0)

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