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Brownian tree

In probability theory, the Brownian tree, or Aldous tree, or Continuum Random Tree (CRT) is a random real tree that can be defined from a Brownian excursion. The Brownian tree was defined and studied by David Aldous in three articles published in 1991 and 1993. This tree has since then been generalized.

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Brownian tree

Nodes24
Edges23
Triples18
Avg. degree1.92
Density0.083333
Components1

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Brownian tree

Top relations

related to Limit of Galton-Watson trees · 8
Brownian tree → Brownian, Consider, Definition, Galton-Watson, In, Let, The, Theorem
related to Continuous tree · 5
Brownian tree → Brownian, Define, Let, Real, The Brownian
related to Definitions · 3
Brownian tree → Aldous's, Brownian, The
is a · 2
Brownian tree → binary tree whose nodes, real tree defined from a Brownian excursion

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Important terminology

tree displaystyle brownian random defined trees space excursion points poisson galton-watson definition consider lengths real leaves construction definitions limit mathbb

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Brownian treeis abinary tree whose nodes0.90text
Brownian treeis areal tree defined from a Brownian excursion0.90text
Brownian treerelated to Continuous treeThe Brownian0.60section
Brownian treerelated to Continuous treeBrownian0.60section
Brownian treerelated to Continuous treeReal0.60section
Brownian treerelated to Continuous treeLet0.60section
Brownian treerelated to Continuous treeDefine0.60section
Brownian treerelated to DefinitionsThe0.60section
Brownian treerelated to DefinitionsBrownian0.60section
Brownian treerelated to DefinitionsAldous's0.60section
Brownian treerelated to Limit of Galton-Watson treesConsider0.60section
Brownian treerelated to Limit of Galton-Watson treesGalton-Watson0.60section

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