Kolmogorov complexity and chaotic phenomena

Born about three decades ago, Kolmogorov complexity theory (KC) led to important discoveries that, in particular, give a new understanding of the fundamental problem: interrelations between classical continuum mathematics and reality (physics, biology, engineering sciences,…). Specifically, in addition to the equations, physicists use the following additional difficult-to-formalize property: that the initial conditions and the value of the parameters must not be abnormal. We will describe a natural formalization of this property, and show that this formalization in good accordance with theoretical physics. At present, this formalization has been mainly applied to the foundations of physics. However, potentially, more practical engineering applications are possible.