Thermodynamics formalism for convolution sofic systems
張志鴻 博士國家理論科學中心 上午 11:00–12:00 S4 2樓數學與理論物理中心The investigation of thermodynamics formalism is widely studied on finite Markov shifts. Normalized Haar measure is an equilibrium measure, i.e., the measure- theoretic entropy with respect to normalized Haar measure equals the topological entropy. In this talk, we consider convolution sofic systems and demonstrate the thermodynamics formalism on it. We show that, for a certain type of convolution sofic systems, the normalized Haar measure is an equilibrium measure and the Hausdorff dimension is the unique zero of Bowen's equation.