ИСТИНА

We estabilsh {\it convergence to statistical equilibrium} for {\it random infinite energy} solutions of hyperbolic PDEs. Our approach relies on the mixing condition for initial measure which is suggested by Dobrushin and Suhov ideas introduced in the context of infinite particle systems. The convergence is suggested by Maxwell-Boltzmann-Gibbs equilibrium statistics. It is open problem for {\bf nonlinear PDEs}, e.g., for Maxwell-Dirac, Maxwell-Schroedinger, Maxwell-Yang-Mills equations, and for their second quantized versions. http://www.crm.umontreal.ca/2016/Geometry16/pdf/komech.pdf