The size of random fragmentation trees
S Janson, R Neininger - Probability theory and related fields, 2008 - Springer
We consider the random fragmentation process introduced by Kolmogorov, where a particle
having some mass is broken into pieces and the mass is distributed among the pieces at …
having some mass is broken into pieces and the mass is distributed among the pieces at …
The Sackin index and depth of leaves in generalized Schröder trees
P Zhang, H Mahmoud - Stochastic Models, 2024 - Taylor & Francis
Schröder trees are biological models of evolution, with internal nodes having two or three
children. We generalize the model to grow from an arbitrary stochastic process of …
children. We generalize the model to grow from an arbitrary stochastic process of …
[PDF][PDF] One-sided interval trees
S Janson - 2004 - sid.ir
Archive of SID www.SID.ir Page 1 JIRSS (2004) Vol. 3, No. 2, pp 149-164 One-Sided Interval
Trees Svante Janson Department of Mathematics, Uppsala University, PO Box 480, S-751 06 …
Trees Svante Janson Department of Mathematics, Uppsala University, PO Box 480, S-751 06 …
Fragment size distributions in random fragmentations with cutoff
M Ghorbel, T Huillet - Statistics & probability letters, 2005 - Elsevier
We consider the following fragmentation model with cutoff: a fragment with initial size x0> 1
splits into b> 1 daughter fragments with random sizes, the partition law of which has …
splits into b> 1 daughter fragments with random sizes, the partition law of which has …
Probabilistic analysis of maximal gap and total accumulated length in interval division
Y Itoh, H Mahmoud, R Smythe - Statistics & probability letters, 2006 - Elsevier
Interval division has been investigated from the point of view of stopping rules. We pay
attention here to the quality of the partition. We look at the length of the maximal gap and a …
attention here to the quality of the partition. We look at the length of the maximal gap and a …
Normal limiting distribution of the size of binary interval trees
J Liu, Y Yang - Mathematical Problems in Engineering, 2015 - Wiley Online Library
The limiting distribution of the size of binary interval tree is investigated. Our illustration is
based on the contraction method, and it is quite different from the case in one‐sided binary …
based on the contraction method, and it is quite different from the case in one‐sided binary …