Antti Kupiainen: Critical Multiplicative Chaos

Antti Kupiainen, University of Helsinki

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Time: Wed 2013-05-15 kl 15.00 - 17.00

Location: Oskar Klein auditorium, Albanova


15:15-16:15: Colloquium lecture by Antti Kupiainen (Oskar Klein auditorium)

16:15-17:00: Coffee and SMC social get-together.

Abstract (Colloquium)

Multiplicative chaos is a theory developed by Kahane in the eighties. It deals with multiplicative processes generating random measures with nontrivial multi fractal properties. These measures have recently played prominent role in models of two-dimensional quantum gravity. They provide also simple models of spin glass phase transition which occurs as a model parameter (“temperature”) is varied. I will review the basic theory of multiplicative chaos and discuss some recent results on the critical and low temperature phase.
About the speaker

Antti Kupiainen heads to research in Mathematical Physics at Helsinki University. He is interested in turbulence, statistical mechanics, and stochastic geometry. His pioneering research has been rewarded with several grants, including the ERC Advanced Grant.

Kollokvier 2013

Titel Datum
Kristian Seip: Analysis on polydiscs 2013‑11‑27
Bernd Sturmfels: The Euclidean Distance Degree 2013‑10‑09
Christoph Thiele: L^p theory for outer measures and applications 2013‑09‑25
Antti Kupiainen: Critical Multiplicative Chaos 2013‑05‑15
Günther Uhlmann: Cloaking: Science Meets Science Fiction 2013‑04‑24
Anatoliy Fomenko: Topological classification of Hamiltonian equations with symmetries. Application to physics and mechanics 2013‑02‑27
Jan-Erik Roos: Classical Lie algebras contra infinite-dimensional positively graded Lie algebras 2013‑02‑06