Representation theorems of ℝ-trees and Brownian motions indexed by ℝ-trees

DOI10.1142/S1793557119500670zbMath1417.54012arXiv1601.03108OpenAlexW2802599000MaRDI QIDQ5223097

Monairah Alansari, Qidi Peng, Asuman Güven Aksoy

Publication date: 5 July 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03108

zbMATH Keywords

independent increments\(\mathbb{R}\)-treeBrownian fields

Mathematics Subject Classification ID

Trees (05C05) Metric spaces, metrizability (54E35) Brownian motion (60J65) Graph representations (geometric and intersection representations, etc.) (05C62)

Cites Work

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• Spherical and hyperbolic fractional Brownian motion
• Probability and real trees. Ecole d'Eté de Probabilités de Saint-Flour XXXV -- 2005. Lecture given at the Saint-Flour probability summer school, July 6--23, 2005.
• Brownian motion on ℝ-trees
• Some results on metric trees
• Independence of the increments of Gaussian random fields
• Multifractional Brownian fields indexed by metric spaces with distances of negative type

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