Minisymposium (ID: SS-ASDEDS)

Algebraic Structure of Discrete-Event Dynamical Systems, and Applications

Chrystopher L. Nehaniv (University of Waterloo), Attila Egri-Nagy (Akita International University, Japan)

Dynamical systems with discrete finite spaces of states and events can be understood using mathematical and computer algebraic methods to uncover, elucidate and manipulate hidden aspects of their structure, such as natural subsystems and hierarchical decomposition. Numerous examples arise throughout science, engineering and mathematics where finitary dynamical systems models often have multiple types of discrete events (or inputs) transforming their states, and include prevalent formalisms such as finite automata, Petri nets, Boolean networks, permutation groups, transformation semigroups, graph networks, interaction machines, etc. This session will highlight novel methods from computational Krohn-Rhodes theory and group theory, wreath product decompositions, and the rapidly growing number of exciting applications to areas such as games, artificial intelligence, computational, biological, physical, and complex systems.

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