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| HAL : hal-00161372, version 1 |
| DOI : 10.3150/07-BEJ101 |
| Fiche détaillée |  Récupérer au format |
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| Bernoulli 13, 4 (2007) 966-980 |
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| Random environment on coloured trees |
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| Mikhail Menshikov 1Dimitri Petritis 2 |
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| (2007) |
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| In this paper we study a regular rooted coloured tree with random labels assigned to its edges, where the distribution of the label assigned to an edge depends on the colours of its endpoints. We obtain some new results relevant to this model and also show how our model generalizes many other probabilistic models, including random walk in random environment on trees, recursive distributional equations, and multi-type branching random walk on $\mathbb{R}$. |
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| 1 : | Department of Mathematics |
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University of Durham |
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| 2 : | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – INSA Rennes – Université Rennes II |
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| 3 : | Department of Mathematics [Bristol] |
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University of Bristol – University Walk |
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| Théorie ergodique |
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| Domaine | : | Mathématiques/Probabilités |
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| Random environment on trees – random walk in random environment – branching random walks – first-passage percolation – recursive distributional equations |
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| hal-00161372, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00161372 | |
| oai:hal.archives-ouvertes.fr:hal-00161372 | |
| Contributeur : Dimitri Petritis | |
| Soumis le : Mardi 10 Juillet 2007, 15:28:44 | |
| Dernière modification le : Mercredi 11 Mars 2009, 09:07:22 | |
