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Random matrix theory: Dyson Brownian motion

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Algebra und Zahlentheorie
Wahrscheinlichkeitstheorie und Statistik

Verbindung zu anderen Gebieten

Physik

Autor(en)

Gianluca Finocchio

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2020-002-EN

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snapshots-2020-002.pdf

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