On Ballistic Deposition Process on a Strip

Toufik Mansour, Reza Rastegar, Alexander Roitershtein

Research output: Contribution to journalArticlepeer-review


We revisit the model of the ballistic deposition studied in Atar et al. (Electron Commun Probab 6:31–38, 2001) and prove several combinatorial properties of the random tree structure formed by the underlying stochastic process. Our results include limit theorems for the number of roots and the empirical average of the distance between two successive roots of the underlying tree-like structure as well as certain intricate moments calculations.

Original languageEnglish
Pages (from-to)626-650
Number of pages25
JournalJournal of Statistical Physics
Issue number4
StatePublished - 1 Nov 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.


  • Ballistic deposition
  • Generating functions
  • Limit theorems
  • Packing models
  • Random sequential adsorption
  • Random tree structures

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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