Eberhard Hopf

Q: What Schools Are Affiliated With Eberhard Hopf

Eberhard Hopf is affiliated with the following schools: Indiana University Bloomington, University of Göttingen, Ludwig Maximilian University of Munich, Massachusetts Institute of Technology, University of Basel, Leipzig University

Eberhard Hopf's AcademicInfluence.com Rankings

Eberhard Hopf

Mathematics

#737

Historical Rank

Measure Theory

#723

Historical Rank

mathematics Degrees

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Mathematics

Why Is Eberhard Hopf Influential?

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According to Wikipedia, Eberhard Frederich Ferdinand Hopf was a mathematician and astronomer, one of the founding fathers of ergodic theory and a pioneer of bifurcation theory who also made significant contributions to the subjects of partial differential equations and integral equations, fluid dynamics, and differential geometry. The Hopf maximum principle is an early result of his that is one of the most important techniques in the theory of elliptic partial differential equations.

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Eberhard Hopf'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

The partial differential equation ut + uux = μxx (1950) (1456)
A mathematical example displaying features of turbulence (1948) (338)
The Partial Differential Equation u_i + uu_x = μu_t (1950) (274)
A remark on linear elliptic differential equations of second order (1952) (259)
Statistical Hydromechanics and Functional Calculus (1952) (255)
Closed Surfaces Without Conjugate Points. (1948) (175)
The General Temporally Discrete Markoff Process (1954) (111)
On Causality, Statistics and Probability (1934) (109)
Ergodic theory and the geodesic flow on surfaces of constant negative curvature (1971) (88)
Fuchsian groups and ergodic theory (1936) (63)
On S. Bernstein’s theorem on surfaces $z(x,y)$ of nonpositive curvature (1950) (53)
On the Right Weak Solution of the Cauchy Problem for a Quasilinear Equation of First Order Final Report (1969) (48)
Theory of measure and invariant integrals (1932) (48)
On an Inequality for Minimal Surfaces z = z(x, y) (1953) (29)
Complete Transitivity and the Ergodic Principle. (1932) (25)
Remarks on the Preceding Paper by D. Gilbarg (1952) (24)
On the Ergodic Theorem for Positive Linear Operators. (1960) (19)
Proof of Gibbs' Hypothesis on the Tendency toward Statistical Equilibrium. (1932) (16)
On Certain Special Solutions of the \Phi-Equation of Statistical Hydrodynamics (1953) (16)
On Emden's Differential Equation. (1931) (13)
On the Time Average Theorem in Dynamics. (1932) (10)
A theorem on the accessibility of boundary parts of an open point set (1950) (8)
Remarks on Causality and Probability (1935) (5)
Absorption Lines and the Integral Equation of Radiative Equilibrium (1936) (2)
On The Time A Verage Theorem In Dynamics (1932) (2)
Remarks on the Schwarzschild-Milne Model of the Outer Layers of a Star. II (1930) (2)
ON CERTAIN INTEGRAL EQUATIONS (1932) (1)
On the integral equation for radiative equilibrium (1927) (1)
INTRODUCTION (1979) (0)
Correction to the Paper 'On an Inequality for Minimal Surfaces z = z(x, y)' (1953) (0)
ON THE BASIS PROBLEM IN NORMED SPACES1 (1961) (0)
The temporal behaviour of a wave packet (1957) (0)

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Other Resources About Eberhard Hopf

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What Schools Are Affiliated With Eberhard Hopf?

Eberhard Hopf is affiliated with the following schools:

Eberhard Hopf's Academic­Influence.com Rankings