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Publications Influence

A Brownian‐Motion Model for the Eigenvalues of a Random Matrix

- F. Dyson
- Mathematics
- 1 November 1962

A new type of Coulomb gas is defined, consisting of n point charges executing Brownian motions under the influence of their mutual electrostatic repulsions. It is proved that this gas gives an exact… Expand

794 106

Statistical Theory of the Energy Levels of Complex Systems. I

- F. Dyson
- Mathematics, Physics
- 1962

New kinds of statistical ensemble are defined, representing a mathematical idealization of the notion of ``all physical systems with equal probability.'' Three such ensembles are studied in detail,… Expand

1,550 102

Iterated Prisoner’s Dilemma contains strategies that dominate any evolutionary opponent

The two-player Iterated Prisoner’s Dilemma game is a model for both sentient and evolutionary behaviors, especially including the emergence of cooperation. It is generally assumed that there exists… Expand

399 72- PDF

Correlations between eigenvalues of a random matrix

- F. Dyson
- Mathematics
- 1970

Exact analytical expressions are found for the joint probability distribution functions ofn eigenvalues belonging to a random Hermitian matrix of orderN, wheren is any integer andN→∞. The… Expand

266 43

The Oklo bound on the time variation of the fine-structure constant revisited

Abstract It has been pointed out by Shlyakhter that data from the natural fission reactors which operated about two billion years ago at Oklo (Gabon) had the potential of providing an extremely tight… Expand

245 26- PDF

Phase Transitions in Quantum Spin Systems with Isotropic and Nonisotropic Interactions

We prove the existence of spontaneous magnetization at sufficiently low temperature, and hence of a phase transition, in a variety of quantum spin systems in three or more dimensions. The isotropic… Expand

202 26- PDF

Existence of a phase-transition in a one-dimensional Ising ferromagnet

- F. Dyson
- Mathematics
- 1 June 1969

AbstractExistence of a phase-transition is proved for an infinite linear chain of spins μj=±1, with an interaction energy
$$H = - \sum J(i - j)\mu _i \mu _j ,$$
whereJ(n) is positive and monotone… Expand

635 25

The S Matrix in Quantum Electrodynamics

- F. Dyson
- Physics
- 1 June 1949

The covariant quantum electrodynamics of Tomonaga, Schwinger, and Feynman is used as the basis for a general treatment of scattering problems involving electrons, positrons, and photons. Scattering… Expand

899 23

Fredholm determinants and inverse scattering problems

- F. Dyson
- Mathematics
- 1 June 1976

The Gel'fand-Levitan and Marchenko formalisms for solving the inverse scattering problem are applied together to a single set of scattering phase-shifts. The result is an identity relating two… Expand

150 23

Origins of Life

- F. Dyson
- History, Psychology
- 1985

This addresswas presented by Freeman J. Dyson as the NishinaMemorial Lecture at the University of Tokyo, on October 17, 1984, and at Yukawa Institute for Theoretical Physics, on October 23, 1984.

552 21

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