On Ballistic Deposition Process on a Strip

Toufik Mansour; Reza Rastegar; Alexander Roitershtein

doi:10.1007/s10955-019-02383-4

On Ballistic Deposition Process on a Strip

Toufik Mansour, Reza Rastegar, Alexander Roitershtein

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	626-650
Number of pages	25
Journal	Journal of Statistical Physics
Volume	177
Issue number	4
DOIs	https://doi.org/10.1007/s10955-019-02383-4
State	Published - 1 Nov 2019

Bibliographical note

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

Keywords

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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10.1007/s10955-019-02383-4

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KW - Generating functions

KW - Limit theorems

KW - Packing models

KW - Random sequential adsorption

KW - Random tree structures

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On Ballistic Deposition Process on a Strip

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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