Volume 4, Issue 1 (6-2023)                   MACO 2023, 4(1): 33-43 | Back to browse issues page

‎ 10.22034/maco.4.1.3

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Rahimi M, Bidabadi N. On Pressure of Asymptotically Sub-additive Potentials With Mistakes via Weighted Metrics. MACO 2023; 4 (1) :33-43
URL: http://maco.lu.ac.ir/article-1-126-en.html
On Pressure of Asymptotically Sub-additive Potentials With Mistakes via Weighted Metrics
Mehdi Rahimi * , Nahid Bidabadi
Abstract:   (219 Views)
In this paper, we use some bi-sequences of positive numbers to define weighted dynamical metrics. Then we show that, replacing the Bowen dynamical metric by the weighted metric, the definition of pressure for asymptotically sub-additive potentials, including measure-theoretic and topological, is not affected. This generalizes some known results for pressure, defined using mean metrics and continuous potentials.
Keywords: Asymptotically sub-additive potential, Measure-theoretic pressure, Topological pressure, weighted metric.
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Type of Study: Research Article | Subject: Applied Mathematics
Published: 2024/02/2
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