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On the Rank and Periodic Rank of Finite Dynamical Systems (2018)
Journal Article
Gadouleau, M. (2018). On the Rank and Periodic Rank of Finite Dynamical Systems. Electronic Journal of Combinatorics, 25(3), Article #P3.48

A finite dynamical system is a function f:An→An where A is a finite alphabet, used to model a network of interacting entities. The main feature of a finite dynamical system is its interaction graph, which indicates which local functions depend on whi... Read More about On the Rank and Periodic Rank of Finite Dynamical Systems.

Finite Dynamical Systems, Hat Games, and Coding Theory (2018)
Journal Article
Gadouleau, M. (2018). Finite Dynamical Systems, Hat Games, and Coding Theory. SIAM Journal on Discrete Mathematics, 32(3), 1922-1945. https://doi.org/10.1137/15m1044758

The properties of finite dynamical systems (FDSs) have been investigated in the context of coding theoretic problems, such as network coding and index coding, and in the context of hat games, such as the guessing game and Winkler's hat game. In this... Read More about Finite Dynamical Systems, Hat Games, and Coding Theory.