“…Analytic continuation of imaginary time functions to real frequencies is per-formed by a novel approximation free approach of stochastic optimization (SO) [45,50,51], circumventing difficulties of popular Maximal Enthropy method. Finally we focus on results of application of the DMC-SO machinery to various problems [52,53,54,55,56,57] The basic models, related to the polaronic objects in correlated systems, which can be solved by DMC-SO methods, are stated in the next Sect. It is followed in Sect.…”