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Random matrix theory: Dyson Brownian motion

Instantáneas de la actualidad matemática desde Oberwolfach

Random matrix theory: Dyson Brownian motion

The theory of random matrices was introduced by John Wishart (1898–1956) in 1928. The theory was then developed within the field of nuclear physics from 1955 by Eugene Paul Wigner (1902–1995) and later by Freeman John Dyson, who were both concerned with the statistical description of heavy atoms and their electromagnetic properties. In this snap- shot, we show how mathematical properties can have unexpected links to physical phenomenena. In particular, we show that the eigenvalues of some particular random matrices can mimic the electrostatic repul- sion of the particles in a gas.

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Área matemática

Álgebra y Teoría de números
Teoría de la probabilidad y Estadística

Relaciones con otros campos

Física

Autor(es)

Gianluca Finocchio

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2020-002-EN

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snapshots-2020-002.pdf

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