{"title":"具有加性噪声的随机动力系统和干草叉分岔的二分谱","authors":"M. Callaway, T. S. Doan, J. Lamb, M. Rasmussen","doi":"10.1214/16-AIHP763","DOIUrl":null,"url":null,"abstract":"The second author was supported by a Marie Curie IEF Fellowship, the third author acknowledges the support by Nizhny Novgorod University \nthrough the grant RNF 14-41-00044, and the fourth author was supported by an EPSRC Career Acceleration Fellowship EP/I004165/1. This research \nhas been supported by EU Marie-Curie IRSES Brazilian–European Partnership in Dynamical Systems (FP7-PEOPLE-2012-IRSES 318999 \nBREUDS) and EU Marie-Sklodowska-Curie ITN Critical Transitions in Complex Systems (H2020-MSCA-2014-ITN 643073 CRITICS).","PeriodicalId":7902,"journal":{"name":"Annales De L Institut Henri Poincare-probabilites Et Statistiques","volume":"67 1","pages":"1548-1574"},"PeriodicalIF":1.2000,"publicationDate":"2013-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"30","resultStr":"{\"title\":\"The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise\",\"authors\":\"M. Callaway, T. S. Doan, J. Lamb, M. Rasmussen\",\"doi\":\"10.1214/16-AIHP763\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The second author was supported by a Marie Curie IEF Fellowship, the third author acknowledges the support by Nizhny Novgorod University \\nthrough the grant RNF 14-41-00044, and the fourth author was supported by an EPSRC Career Acceleration Fellowship EP/I004165/1. This research \\nhas been supported by EU Marie-Curie IRSES Brazilian–European Partnership in Dynamical Systems (FP7-PEOPLE-2012-IRSES 318999 \\nBREUDS) and EU Marie-Sklodowska-Curie ITN Critical Transitions in Complex Systems (H2020-MSCA-2014-ITN 643073 CRITICS).\",\"PeriodicalId\":7902,\"journal\":{\"name\":\"Annales De L Institut Henri Poincare-probabilites Et Statistiques\",\"volume\":\"67 1\",\"pages\":\"1548-1574\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2013-10-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"30\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales De L Institut Henri Poincare-probabilites Et Statistiques\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1214/16-AIHP763\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales De L Institut Henri Poincare-probabilites Et Statistiques","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1214/16-AIHP763","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
The dichotomy spectrum for random dynamical systems and pitchfork bifurcations with additive noise
The second author was supported by a Marie Curie IEF Fellowship, the third author acknowledges the support by Nizhny Novgorod University
through the grant RNF 14-41-00044, and the fourth author was supported by an EPSRC Career Acceleration Fellowship EP/I004165/1. This research
has been supported by EU Marie-Curie IRSES Brazilian–European Partnership in Dynamical Systems (FP7-PEOPLE-2012-IRSES 318999
BREUDS) and EU Marie-Sklodowska-Curie ITN Critical Transitions in Complex Systems (H2020-MSCA-2014-ITN 643073 CRITICS).
期刊介绍：
The Probability and Statistics section of the Annales de l’Institut Henri Poincaré is an international journal which publishes high quality research papers. The journal deals with all aspects of modern probability theory and mathematical statistics, as well as with their applications.
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