| Abstract: |
| In 1970`s, Rufus Bowen proposed a general criterion on establishing thermodynamic formalism of a dynamical system by extracting critical features of a uniformly hyperbolic system equipped with a H\{o}lder continuous potential. Precisely, he showed that on an expansive homeomorphism satisfying a strong orbital concatenation property called specification, any boundedly distorted continuous potential must possess a unique equilibrium state. In this talk, we briefly survey the development of Bowen`s argument in the past two decades by illustrating how Bowen`s idea is extended to a variety of systems beyond compact uniform setting. This includes the introduction of a recent variant of Bowen`s approach, as well as its applications on detecting a few types of strong stochastic behaviors |
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