Lectures
Mathematical Structures
of
Complex Systems

Overview

General Structure of Lectures

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Part 1 - Structural Models of Complex Systems

  • Graps & Hypergraphs
  • Hierachical Hypergraphs
  • Structural Evolution

Part 2 - Dynamic Models of Complex Systems

  • Events & Rules
  • Stochastic Processes
  • Dynamical Systems

Part 3 - Data Analysis and Machine Learning

  • Statistics & Hypotheses
  • Machine Learning

Modelling Examples

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Life Sciences

  • Genetic Networks
  • Metabolic Networks
  • Chemostat (Biotechnology, Ecosystem Modelling)
  • Evolution

Social Sciences

  • Social Networks
  • Opinion Formation

Economics & Finance

  • Macroeconomic Modelling
  • Game Theory
  • Portfolios
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