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On the complex cascade and the complex branching Brownian motion

Date: 
Thursday 19th March 2015 - 14:00 to 15:00
Venue: 
INI Seminar Room 1
Abstract: 
Co-authors: Rhodes (Université Paris Est), Vargas (ENS Paris)

In 2013, Lacoin, Rhodes and Vargas introduced the complex Gaussian multiplicative chaos and exhibited for this model a phase transition diagram. This diagram contains three phases and three frontiers. In this talk we will study the frontier I/II in the context of the complex dyadic Gaussian branching random walk (complex cascade) and the phase II in the context of the complex branching Brownian motion.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons