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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