On some laws of iterated logarithm for Burgers turbulence with Brownian initial data based on the concave majorant (Q874828)

One-dimensional Burgers turbulence is formed by the articles which started with random velocity. It is assumed that the particles are initially uniformly distributed on the positive half line. In others words, the author considers the case when the initial mass distribution is the Lebesgue measure supported on \((0,\infty)\). Specifically, the initial velocity field is given by either a white noise or a Brownian motion.