The prolific backbone for supercritical superdiffusions
classification
🧮 math.PR
keywords
backboneconnellevanssupercriticalsuperprocessesanalyticalapproachbeta
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We develop an idea of Evans and O'Connell, Englander and Pinsky and Duquesne and Winkel by giving a pathwise construction of the so called `backbone' decomposition for supercritical superprocesses. Our results also complement a related result for critical $(1+\beta)$-superprocesses given in Etheridge and Williams \cite{EW}. Our approach takes an analytical point of view which is more in the spirit of the original Evans and O'Connell paper.
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