Functional Renormalization Group

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Main topics

  • Fractals: the notion of dimension and the concept of self-similarity
  • RG view on probability and limit theorems
  • RG in a deterministic system: transitions to chaos for discrete deterministic maps
  • Continuos phase transitions in equilibrium statistical mechanics: RG analysis
  • Evaluating multiple integrals: the effective average action method
  • Ising universality classes from d=inf to d=1
  • O(N) universality classes in continuos dimension: from self-avoiding random walks to the spherical model passing by the Kosterlitz-Thouless transition
  • Lecture notes

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