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An introduction to log-correlated fields and multiplicative chaos

Stochastik-Kolloquium Frankfurt

Datum: 08.05.2019

Zeit: 14:15 Uhr

Mittwoch, 8. Mai 2019, 14:15 Uhr in Raum 711 gr:
Christian Webb (Aalto/Finland)

An introduction to log-correlated fields and multiplicative chaos

Log-correlated fields are stochastic processes arising e.g. in various models of statistical mechanics, probabilistic combinatorics, and probabilistic number theory. They are characterized by having a logarithmic singularity in their covariance. Multiplicative chaos measures are random fractal measures built from these log-correlated fields. I will briefly discuss the precise definition of these objects, how multiplicative chaos measures can be used to study extreme values of log-correlated fields, and time permitting, how this type of results can be applied e.g. in random matrix theory.

Nummer

109

Ort

Goethe-Universität Frankfurt, Raum 711 (groß)
Institut für Mathematik, Robert-Mayer-Str. 10, 60486 Frankfurt

Raum 711 (groß), 7. Stock

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