The averaging process on infinite graphs
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| Názov: | The averaging process on infinite graphs |
|---|---|
| Autori: | Gantert, Nina, Vilkas, Timo |
| Prispievatelia: | Lund University, Lund University School of Economics and Management, LUSEM, Department of Statistics, Lunds universitet, Ekonomihögskolan, Statistiska institutionen, Originator |
| Zdroj: | Alea. 22:815-823 |
| Predmety: | Natural Sciences, Mathematical Sciences, Probability Theory and Statistics, Naturvetenskap, Matematik, Sannolikhetsteori och statistik |
| Popis: | We consider the averaging process on an infinite connected graph with bounded degree and independent, identically distributed starting values or initial opinions. Assuming that the law of the initial opinion of a vertex has a finite second moment, we show that the opinions of all vertices converge in L2 to the first moment of the law of the initial opinions. A key tool in the proof is the Sharing a drink procedure introduced by Olle Häggström. |
| Prístupová URL adresa: | https://doi.org/10.30757/ALEA.v22-32 |
| Databáza: | SwePub |
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