A Variational Principle for the Pressure of Continuous Transformations

作者: Peter Walters

DOI: 10.2307/2373682

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摘要: Introduction. Ruelle ([17]) has defined the concept of pressure for a continuous Zn action on compact metric space and proved variational principle when is expansive satisfies specification condition. We prove this principle, case Z + action, without these assumptions (Theorem 4.1). The method proof extends that used by Dinaburg ([5]) Goodman ([7]) to special cases result. Several definitions are given in Sec. 1 properties 2. Part 3 completed 4. Some remarks other results appear 5.

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