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Pierluigi Contucci

Full Professor

Department of Mathematics

Academic discipline: MATH-04/A Mathematical Physics

Research

Keywords: mathematical physics statistical mechanics disordered and complex systems machine learning and artificial intelligence statistical inference and inverse problems data science for social and economical sciences

  • Disordered Statistical Mechanics
  • Spin Glass Equilibrium State and its Nature
  • Ultrametricity Property
  • Comparison of Mean Field and Finite Dimensional cases
  • Stochastic Stability Property
  • Hopfield models and Boltzmann Machines
  • Multi-populated and disordered systems of elliptic and hyperbolic type, multi-scale models 
  • Overlap Standard and Link Overlap Identities
  • Mean Field Models and Immigration Phenomena
  • Discrete Choice Theory and its Extension to the Interacting Cases.
  • Interacting model on the Erdos-Reny Graph
  • Monomer-Dimer models, with simple and random interactions and on random graphs
  • Discrete choice theory with interaction
  • Elaboration of statistical tests of mathematical culture from elementary to advanced level
  • Comparative analysis of mathematical culture at national and international level

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