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Abstract: The lecture will be devoted to the consideration of new mathematical schemata reflecting the empirical regularities of soft sciences. The following fields will be considered: 1. Transfer from Principles of Optimization to Principles of Superposition Complexity Theory 2. Development of a Theory of Perturbations of Inverse Matrices with applications to the Dynamic Input-Output Economic Analysis. 3. Transfer from Linear theory of Markov Chains to Non-linear theory of Discrete and Continuous Probabilistic Chains with applications to Socio-Spatial Dynamics and Theory of Forecasting of iteration processes. 4. Development of Theory of Log-linear systems of differential equations with applications to Innovation Diffusion (technological and cultural) to Competition between Elites and to Ethnogenesis and Collisions between cultures. 5. Development of Calculus and visualization of Bifurcations and Critical bifurcation surfaces in Non-Linear dynamics with application to the theories of Complexity, Self-Organization and Complication.
Seminarsko predavanje bo v sredo, 7. julija 2004 ob 17:15 uri v seminarski sobi CAMTP na Krekovi 2, pritlicje desno. Vljudno vabljeni vsi zainteresirani, tudi študentje.