On a skewed and multifractal uni-dimensional random field, as a probabilistic representation of Kolmogorov's views on turbulence

Laurent Chevillard, Christophe Garban, Rémi Rhodes +1

We construct, for the first time to our knowledge, a one-dimensional stochastic field $\{u(x){\}}_{x\in \mathbb{R}}$ which satisfies the following axioms which are at the core of the…