Show simple item record

Ergodicity of avalanche transformations

dc.contributor.authorDenker, M
dc.contributor.authorRodrigues, A
dc.date.accessioned2016-03-24T10:52:54Z
dc.date.issued2014-09-04
dc.description.abstractIn this paper, we study dynamical systems of product type and some particular inducing scheme motivated by neural dynamics (called avalanche transformation). We derive the distribution of avalanche sizes and give sufficient conditions such that the avalanche transformation is ergodic. Moreover, we deduce a multivariate central limit theorem as a corollary.en_GB
dc.description.sponsorshipWe would like to thank Ira Gessel and Wlodek Bryc for some helpful remarks concerning Section 2. The research of M. Denker was supported by the National Science Foundation grant DMS- 1008538. The research of A. Rodrigues is supported by the Swedish Research Council (VR Grant 2010/5905). The authors would like to thank the Goran Gustafsson Foundation UU/KTH for the ¨ financial support.en_GB
dc.identifier.citationVol. 29, No. 4, pp. 517-536en_GB
dc.identifier.doi10.1080/14689367.2014.947244
dc.identifier.urihttp://hdl.handle.net/10871/20828
dc.language.isoenen_GB
dc.publisherTaylor & Francisen_GB
dc.rights© 2014 Taylor & Francis. This is the author's accepted manuscript. The final version is available from Taylor & Francis via the DOI in this record.en_GB
dc.subject60F05en_GB
dc.subject37A50en_GB
dc.subject37A05en_GB
dc.subjectcentral limit theoremen_GB
dc.subjectergodicityen_GB
dc.subjectavalanche transformationen_GB
dc.subjectCayley's theoremen_GB
dc.subjectinduced transformationen_GB
dc.titleErgodicity of avalanche transformationsen_GB
dc.typeArticleen_GB
dc.date.available2016-03-24T10:52:54Z
dc.identifier.issn1468-9367
dc.descriptionPublisheden_GB
dc.identifier.eissn1468-9375
dc.identifier.journalDynamical Systems: An International Journalen_GB


Files in this item

Name:
ERGODICITY OF AVALANCHE.pdf
Size:
331.6Kb
Format:
PDF
View/Open

This item appears in the following Collection(s)

Show simple item record