Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Diseases transmission in a z-ary tree

Abstract : We extend some results of Itai Benjamini and Yuri Lima (see [1]). In this paper they consider a binary tree Tn of height n, each leaf is either infected by one of k diseases or not infected at all. In other words, x at generation n is infected by the i-th infection with probability pi and sane with p k+1. Moreover the infections are independently distributed for each leaf. Infections spread along the tree based on specific rules. In their paper they study the limit distribution of the root of Tn as n goes to infinity. Here we want to study the more general case of a Galton-Watson tree and a z-ary tree.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [3 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01180043
Contributor : Thomas Haberkorn Connect in order to contact the contributor
Submitted on : Friday, July 24, 2015 - 8:44:26 AM
Last modification on : Tuesday, October 12, 2021 - 5:20:12 PM
Long-term archiving on: : Sunday, October 25, 2015 - 10:23:49 AM

File

maladieArXiV.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01180043, version 1
  • ARXIV : 1507.06483

Collections

Citation

Pierre Debs, T Haberkorn. Diseases transmission in a z-ary tree. 2015. ⟨hal-01180043⟩

Share

Metrics

Record views

264

Files downloads

157