Edward Nelson | Academic Influence

Edward Nelson's AcademicInfluence.com Rankings

Edward Nelson

Mathematics

#159

World Rank

#376

Historical Rank

#70

USA Rank

Mathematical Physics

#9

World Rank

#13

Historical Rank

#3

USA Rank

mathematics Degrees

Edward Nelson

Philosophy

#505

World Rank

#1039

Historical Rank

#231

USA Rank

Mathematical Logic

#2

World Rank

#7

Historical Rank

#2

USA Rank

Logic

#184

World Rank

#418

Historical Rank

#84

USA Rank

philosophy Degrees

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Mathematics
Philosophy

Edward Nelson's Degrees

PhD Mathematics University of Chicago

Why Is Edward Nelson Influential?

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According to Wikipedia, Edward Nelson was an American mathematician. He was professor in the Mathematics Department at Princeton University. He was known for his work on mathematical physics and mathematical logic. In mathematical logic, he was noted especially for his internal set theory, and views on ultrafinitism and the consistency of arithmetic. In philosophy of mathematics he advocated the view of formalism rather than platonism or intuitionism. He also wrote on the relationship between religion and mathematics.

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Edward Nelson'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

Dynamical Theories of Brownian Motion (1967) (1520)
Derivation of the Schrodinger equation from Newtonian mechanics (1966) (1392)
Internal set theory: A new approach to nonstandard analysis (1977) (610)
Notes on non-commutative integration (1974) (605)
The free Markoff field (1973) (557)
Feynman Integrals and the Schrödinger Equation (1964) (544)
Construction of quantum fields from Markoff fields. (1973) (303)
Syntax and Semantics (2002) (283)
Interaction of Nonrelativistic Particles with a Quantized Scalar Field (1964) (273)
Representation of Elliptic Operators in an Enveloping Algebra (1959) (134)
Probability theory and euclidean field theory (1973) (113)
Radically Elementary Probability Theory. (1987) (109)
Topics in dynamics I: Flows (1970) (100)
Review: Barry Simon, Functional integration and quantum physics, and James Glimm and Arthur Jaffe, Quantum physics, a functional integral point of view (1983) (94)
The adjoint Markoff process (1958) (84)
REGULAR PROBABILITY MEASURES ON FUNCTION SPACE (1959) (73)
Time-ordered operator products of sharp-time quadratic forms (1972) (72)
Radically Elementary Probability Theory. (AM-117) (1987) (65)
Review of stochastic mechanics (2012) (61)
Quantum Fluctuations (Princeton Series in Physics) (1985) (58)
The syntax of nonstandard analysis (1988) (49)
Connection between Brownian motion and quantum mechanics (1979) (41)
Field theory and the future of stochastic mechanics (1986) (39)
A functional calculus using singular Laplace integrals (1958) (34)
Stochastic mechanics and random fields (1988) (33)
Operants: A Functional Calculus for Non-Commuting Operators (1970) (33)
An existence theorem for second order parabolic equations (1958) (28)
A proof of Liouville’s theorem (1961) (27)
Kernel functions and eigenfunction expansions (1958) (20)
Infinity: Warning Signs of a Possible Collapse of Contemporary Mathematics (2011) (18)
Review: Jean-Pierre Caubet, Le mouvement brownien relativiste (1978) (16)
The distinguished boundary of the unit operator ball (1961) (16)
Quantum fluctuations — An introduction (1984) (11)
The Locality Problem in Stochastic Mechanics (1986) (10)
Representation of a Markovian Semigroup and Its Infinitesimal Generator (1958) (7)
Stochastic Mechanics of Particles and Fields (2013) (7)
Taking formalism seriously (1993) (6)
Stochastic mechanics of relativistic fields (2014) (5)
RAMIFIED RECURSION AND INTUITIONISM (1997) (4)
Mathematics and Faith (2000) (3)
Mathematical Pearls: A Proof of Liouville's Theorem (1961) (3)
The virtue of simplicity (2007) (3)
Quantum Fluctuations (2020) (1)
AN EXISTENCE THEOREM FOR SECOND ORDER (2010) (1)
Correction to “Kernel functions and eigenfunction expansions” (1959) (1)
Expectations of Functionals on a Stochastic Process (1960) (1)
Book Review: Gnomes in the fog: The reception of Brouwer's intuitionism in the 1920s (2004) (1)
8. Sums and Lie products of self-adjoint operators (2015) (0)
10. The total variation of a process (1987) (0)
7. Extensions of Hermitean operators (2015) (0)
Mathematics and the mind (2002) (0)
12. Fluctuations of martingales (1987) (0)
4. Sums and Lie Products of Vector Fields (2015) (0)
A FUNCTIONAL CALCULUS USING SINGULAR (2016) (0)
11. Convergence of martingales (1987) (0)
Irving Ezra Segal (1918–1998), Volume 46, Number 6 (1998) (0)
0 10 40 15 v 1 1 1 A pr 2 00 1 Rigorous Malliavin Calculus versus Roman-Mafia ’ s stochastic action principles (2008) (0)
7. Properties that hold almost everywhere (1987) (0)
From Classical to Quantum and Back (2020) (0)
Book Review: Quantum physics, a functional integral point of view (1983) (0)
13. Discontinuities of martingales (1987) (0)
9. The decomposition of a stochastic process (1987) (0)
17. Nearly equivalent stochastic processes (1987) (0)
5. Self-adjoint operators on Hilbert space (2015) (0)
3. The Local Structure of Vector Fields (2015) (0)
Reviews (2007) (0)
15. The maximum of a martingale (1987) (0)
18 Unconventional Essays on the Nature of Mathematics by Reuben Hersh (2007) (0)
Book Review: Functional integration and quantum physics (1983) (0)
A Simple Experiment in Rotational Dynamics (1965) (0)
16. The law of large numbers (1987) (0)
3. Stochastic processes (1987) (0)
Recursion Only on the Actual (2010) (0)

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