Michael Sonis | Bar Ilan University - Israel

• Grant number: 06/03653-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: March 26, 2007
• End date: April 11, 2007
• Field of knowledge: Applied Social Sciences - Economics - Regional and Urban Economics
• Principal Investigator: Carlos Roberto Azzoni
• Grantee: Carlos Roberto Azzoni
• Visiting researcher: Michael Sonis
• Visiting researcher institution: Bar-Ilan University (BIU), Israel
• Host Institution: Faculdade de Economia, Administração e Contabilidade (FEA). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

For the Mathematical Departments. Lecture 1. Convex Polyhedra and Inverted Problem of Multiobjective Programming; Superposition Principle versus Optimization in Linear Systems. Lecture 2. Explorations in Matrix Theory: Perturbations of Inverse matrices. This lecture will be concentrated on the perturbations of individual coefficients and their Fields of Influence versus classical theory of perturbations of eigenvalues. Lecture 3. Theory of Discrete Nonlinear Probabilistic and Barycentric Chains in Moebius Spaces: Applications to Forecasting. The main purpose of this lecture is to develop the theory of non-linear discrete probabilistic and barycentric chains that are the sequences of probability (barycentric) vectors. Lecture 4. Theory of Log-linear systems of differential equations in Moebius Space: Application to Innovation Diffusion Theory. Lecture 5. Discrete non-Linear Dynamics and Calculus of Bifurcations; Applications to the Complexity and Complication theory. For the Faculty of Socio-Economic and Behavior Sciences. Lecture 1: Spatial analysis of socio-economic systems. Lecture 2: New developments in Input-Output Analysis: Fields of Influence of changes, Temporal Leontief Inverse and the renovation of the classical Key Sector Analysis. Lecture 3: Socio-Ecology of individual choice of "Social Men": Ethnogenesis, Gumilev's Passionary Elites and "Ten Commandments of Aggressive Intolerance". Lecture 4. Networks, Flows, Hierarchies: Elements of Network Analysis Methodology (AU)