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dc.contributor.authorAdler, Robert
dc.contributor.authorMoldavskaya, Elina
dc.contributor.authorSamorodnitsky, Gennady
dc.description.abstractThe structure of Gaussian random fields over high levels is a well researched and well understood area, particularly if the field is smooth. However, the question as to whether or not two or more points which lie in an excursion set belong to the same connected component has constantly eluded analysis. We study this problem from the point of view of large deviations, finding the asymptotic probabilities that two such points are connected by a path laying within the excursion set, and so belong to the same component. In addition, we obtain a characterization and descriptions of the most likely paths, given that one exists.en_US
dc.description.sponsorshipResearch supported in part by US-Israel Binational Science Foundation, 2008262, by ARO grant W911NF-07-1-0078, NSF grant DMS-1005903 and NSA grant H98230-11-1-0154 at Cornell University, by Israel Science Foundation, 853/10, by AFOSR FA8655-11-1-3039, by Office for Absorption of New Scientists and ERC grant RCMT152.en_US
dc.subjectGaussian processen_US
dc.subjectexcursion seten_US
dc.subjectlarge deviationsen_US
dc.subjectexceedance probabilitiesen_US
dc.subjectconnected componenten_US
dc.subjectoptimal pathen_US
dc.subjectenergy of measuresen_US
dc.titleOn the existence of paths between points in high level excursion sets of Gaussian random fieldsen_US
dc.typetechnical reporten_US

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