Name
Abstract | ||
|---|---|---|
tree T is said to be homogeneous if it is uniquely rooted and there exists an integer b 2, called the branching number of T , such that every t T has exactly b immediate successors. A vector homogeneous tree T is a finite sequence ( T 1,..., T d ) of homogeneous trees and its level product T is the subset of the Cartesian product T 1 ... T d consisting of all finite sequences ( t 1,..., t d ) of nodes having common length.We study the behavior of measurable events in probability spaces indexed by the level product T of a vector homogeneous tree T . We show that, by refining the index set to the level product S of a vector strong subtree S of T , such families of events become highly correlated. An analogue of Lebesgue's density Theorem is also established which can be considered as the "probabilistic" version of the density Halpern-Läuchli Theorem. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/s00493-014-2880-2 | Combinatorica |
Keywords | Field | DocType |
05c05,05d10 | Integer,Discrete mathematics,Combinatorics,Existential quantification,Cartesian product,Measure (mathematics),Homogeneous tree,Index set,Tree (data structure),Lebesgue integration,Mathematics | Journal |
Volume | Issue | ISSN |
34 | 4 | Combinatorica 34 (2014), 427-470 |
Citations | PageRank | References |
2 | 0.40 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Pandelis Dodos | 1 | 5 | 2.33 |
| V. Kanellopoulos | 2 | 7 | 2.66 |
| Konstantinos Tyros | 3 | 6 | 2.63 |