AbstractThe contour process of a random binary tree t with n internal nodes is defined as the polygonal function constructed from the heights of the leaves of t (normalized by n). We show that, as n → ∞, the limiting contour process is identical in distribution to a Brownian excursion
The first part of this thesis concerns the area of random maps, which is a topic in between probabil...
AbstractWe investigate the profile of random Pólya trees of size n when only nodes of degree d are c...
Let Z(n), N = 0, 1, 2, ... be a critical branching process in random environment and Z(m, n), m 0 co...
The contour process of a random binary tree t with n internal nodes is defined as the polygonal func...
Abstract. Let T be a plane rooted tree with n nodes which is regarded as family tree of a Galton-Wat...
AbstractWe explain how Itô’s excursion theory can be used to understand the asymptotic behavior of l...
Consider the family tree T of a branching process starting from a single progenitor and conditioned ...
The Brownian motion has played an important role in the development of probability theory and stocha...
This is a sequel to our treatment of various attributes of trees [1], expressed in the language of p...
AMS subject classication: 60J55 (60J65) Brownian excursion, random tree, local time. The law of a ra...
It was shown in [3] that the least concave majorant of one-sided Brownian motion without drift can b...
Splitting trees are those random trees where individuals give birth at a constant rate during a life...
In this article it is shown that the Brownian motion on the continuum random tree is the scaling lim...
AbstractWe consider the number of nodes in the levels of unlabelled rooted random trees and show tha...
International audienceConsider the logging process of the Brownian continuum random tree (CRT) $\cal...
The first part of this thesis concerns the area of random maps, which is a topic in between probabil...
AbstractWe investigate the profile of random Pólya trees of size n when only nodes of degree d are c...
Let Z(n), N = 0, 1, 2, ... be a critical branching process in random environment and Z(m, n), m 0 co...
The contour process of a random binary tree t with n internal nodes is defined as the polygonal func...
Abstract. Let T be a plane rooted tree with n nodes which is regarded as family tree of a Galton-Wat...
AbstractWe explain how Itô’s excursion theory can be used to understand the asymptotic behavior of l...
Consider the family tree T of a branching process starting from a single progenitor and conditioned ...
The Brownian motion has played an important role in the development of probability theory and stocha...
This is a sequel to our treatment of various attributes of trees [1], expressed in the language of p...
AMS subject classication: 60J55 (60J65) Brownian excursion, random tree, local time. The law of a ra...
It was shown in [3] that the least concave majorant of one-sided Brownian motion without drift can b...
Splitting trees are those random trees where individuals give birth at a constant rate during a life...
In this article it is shown that the Brownian motion on the continuum random tree is the scaling lim...
AbstractWe consider the number of nodes in the levels of unlabelled rooted random trees and show tha...
International audienceConsider the logging process of the Brownian continuum random tree (CRT) $\cal...
The first part of this thesis concerns the area of random maps, which is a topic in between probabil...
AbstractWe investigate the profile of random Pólya trees of size n when only nodes of degree d are c...
Let Z(n), N = 0, 1, 2, ... be a critical branching process in random environment and Z(m, n), m 0 co...
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