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Large Deviations for Random Trees

We consider large random trees under Gibbs distributions and prove a Large Deviation Principle (LDP) for the distribution of degrees of vertices of the tree. The LDP rate function is given explicitly. An immediate consequence is a Law of Large Numbers for the distribution of vertex degrees in a larg...

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Hlavní autoři: Bakhtin, Yuri, Heitsch, Christine
Médium: Artigo
Jazyk:Inglês
Vydáno: 2008
Témata:
On-line přístup:https://ncbi.nlm.nih.gov/pmc/articles/PMC2834538/
https://ncbi.nlm.nih.gov/pubmed/20216937
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s10955-008-9540-0
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