Many-valued measure-preserving mappings (polymorphisms) and Markovian operators

Systematic presentation of the basic concept of the theory of many-valued measure-preserving mappings of spaces and their functional equivalents – Markov operators. Relationship with Markov processes and dilations, with exact endomorphisms; extremal and indecomposable mappings; factor mappings; bistochastic and quasibistochastic measures; examples and applications.