2020/11/16 by Lacoin, Hubert · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)
paper · doi:10.48550/arxiv.2011.08033
Gaussian Multiplicative Chaos (GMC) is informally defined as a random measure eγX d x where X is Gaussian field on \mathbb Rd (or an open subset of it) whose correlation function is of the form K(x,y)= log (1)/(|y-x|)+ L(x,y), where L is a continuous function x and y and γ=α+iβ is a complex parameter. In the present paper, we consider the case γ∈ \mathcal P'III where \mathcal P'III:= \ α+i β : α,γ∈ \mathbb R , |α|