Abstruct:

Psuedo Markov systems are an extension of graph directed Markov systems replacing the constraint of a finite set of vertices to allow countable collections of both vertices and edges. The main result of this talk will be to establish a formulation of Bowen's formula for concerning the Hausdorff dimension of the limit set of a weakly thin conformal pseudo Markov systems. To do this, we will first construct several extensions of the thermodynamic formalism that has already been built up for graph directed Markov systems.​