Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Introduction -- Chapter 1. Multidimensional Models of Kac Type -- 1.1.Definitions and basic properties -- 1.2.Moments of evolutionary process -- 1.3. Systems of Kolmogorov equations -- 1.4. Evolutionary operator and theorem about weak convergence to themeasure of theWiener process -- Chapter 2. Symmetry of Markov Random Evolutionary Processes in Rn -- 2.1. Symmetrization: definition and properties -- 2.2. Examples of symmetric distributions in Rn and distributions on n + 1-hedra -- 2.2.1. Symmetricdistributions