everything.study
SYDE 710

Topics in Mathematics

Graduate

Winter 2022 · Algebraic Structure of Discrete Dynamical Systems

Topics

  • Algebraic foundations of discrete-event dynamical systems
  • Permutation groups and transformation semigroups
  • Wreath products
  • Frobenius–Lagrange coordinates
  • Holonomy groups and decomposition
  • Krohn–Rhodes prime decomposition
  • Hierarchical system representations
  • Possible computer algebra, graph invariants and AI applications

Readings

  • No required textbook. Class notes are shared on a rotation.
    unspecified
Sources