{"title":"随机动力系统的公制压力:一个局部观点","authors":"M. Rahimi, A. Ghodrati","doi":"10.1007/s40995-023-01500-z","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we present a local approach to the metric pressure of random dynamical systems. We define a non-negative measurable map with the property that, its integral with respect to a measure, called the diagonal measure, results in the metric pressure of a random dynamical system. In particular, it results in a local entropy map for random dynamical systems.</p></div>","PeriodicalId":600,"journal":{"name":"Iranian Journal of Science and Technology, Transactions A: Science","volume":"47 4","pages":"1343 - 1350"},"PeriodicalIF":1.4000,"publicationDate":"2023-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Metric Pressure of Random Dynamical Systems: A Local Viewpoint\",\"authors\":\"M. Rahimi, A. Ghodrati\",\"doi\":\"10.1007/s40995-023-01500-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we present a local approach to the metric pressure of random dynamical systems. We define a non-negative measurable map with the property that, its integral with respect to a measure, called the diagonal measure, results in the metric pressure of a random dynamical system. In particular, it results in a local entropy map for random dynamical systems.</p></div>\",\"PeriodicalId\":600,\"journal\":{\"name\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"volume\":\"47 4\",\"pages\":\"1343 - 1350\"},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2023-07-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Science and Technology, Transactions A: Science\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s40995-023-01500-z\",\"RegionNum\":4,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Science and Technology, Transactions A: Science","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1007/s40995-023-01500-z","RegionNum":4,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
On Metric Pressure of Random Dynamical Systems: A Local Viewpoint
In this paper, we present a local approach to the metric pressure of random dynamical systems. We define a non-negative measurable map with the property that, its integral with respect to a measure, called the diagonal measure, results in the metric pressure of a random dynamical system. In particular, it results in a local entropy map for random dynamical systems.
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The aim of this journal is to foster the growth of scientific research among Iranian scientists and to provide a medium which brings the fruits of their research to the attention of the world’s scientific community. The journal publishes original research findings – which may be theoretical, experimental or both - reviews, techniques, and comments spanning all subjects in the field of basic sciences, including Physics, Chemistry, Mathematics, Statistics, Biology and Earth Sciences
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