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- W2346750820 abstract "It is widely known that when $X$ is compact Hausdorff, and when $T: X to X$ and $f: X to mathbb{R}$ are continuous, begin{equation*} P(T,f) = sup_{text{$mu$: Radon probability}} left( h_mu(T) + int f, mathrm{d}mu right), end{equation*} where $P(T,f)$ is the topological pressure and $h_mu(T)$ is the measure theoretic entropy of $T$ with respect to $mu$. This result is known as variational principle. We generalize the concept of topological pressure for the case where $X$ is a separable locally compact metric space. Our definitions are quite similar to those used in the compact case. Our main result is the validity of the variational principle." @default.
- W2346750820 created "2016-06-24" @default.
- W2346750820 creator A5048909934 @default.
- W2346750820 date "2016-05-05" @default.
- W2346750820 modified "2023-09-27" @default.
- W2346750820 title "Topological Pressure for Locally Compact Metrizable Systems" @default.
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- W2346750820 hasPublicationYear "2016" @default.
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