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dc.contributor.authorChen, Zaoli
dc.contributor.authorSamorodnitsky, Gennady
dc.description.abstractWe study the extremes for a class of a symmetric stable random fields with long range dependence. We prove functional extremal theorems both in the space of sup measures and in the space of cadlag functions of several variables. The limits in both types of theorems are of a new kind, and only in a certain range of parameters these limits have the Fr\'echet distribution.en_US
dc.description.sponsorshipThis research was partially supported by the NSF grant DMS-1506783 and the ARO grant W911NF-18 -10318 at Cornell Universityen_US
dc.subjectrandom fielden_US
dc.subjectextremal limit theoremen_US
dc.subjectrandom sup measureen_US
dc.subjectrandom closed seten_US
dc.subjectlong range dependenceen_US
dc.subjectstable lawen_US
dc.subjectheavy tailsen_US
dc.titleExtreme Value Theory for Long Range Dependent Stable Random Fieldsen_US
dc.typetechnical reporten_US

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