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Literature DB >> 31844336

On ballistic deposition process on a strip.

Toufik Mansour¹, Reza Rastegar², Alexander Roitershtein³.

Abstract

We revisit the model of the ballistic deposition studied in [5] 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.

Entities: Chemical Disease Gene

Keywords: 05A16; 60F05; 60J10; Primary 60K35; Secondary 60C05; ballistic deposition; generating functions; limit theorems; packing models; random sequential adsorption; random tree structures

Year: 2019 PMID： 31844336 PMCID： PMC6913540 DOI： 10.1007/s10955-019-02383-4

Source DB: PubMed Journal: J Stat Phys ISSN： 0022-4715 Impact factor: 1.548

13 in total

Review 10. A brief review of mathematical models of thin film growth and surfaces. A possible route to avoid defects in stents.

Authors: Fabricio L Forgerini; Roberto Marchiori
Journal: Biomatter Date: 2014

1 in total

1. Staircase patterns in words: subsequences, subwords, and separation number.

Authors: Toufik Mansour; Reza Rastegar; Alexander Roitershtein
Journal: Eur J Comb Date: 2020-03-21 Impact factor: 0.890

1 in total

On ballistic deposition process on a strip.

1. Analytic model for a ballistic deposition process.

2. Phase transition in a restricted solid-on-solid surface-growth model in 2+1 dimensions.

3. What is the connection between ballistic deposition and the Kardar-Parisi-Zhang equation?

4. Morphologies from slippery ballistic deposition model: a bottom-up approach for nanofabrication.

5. Optimal Random Deposition of Interacting Particles.

6. Shape Universality Classes in the Random Sequential Adsorption of Nonspherical Particles.

7. Surface properties and scaling behavior of a generalized ballistic deposition model.

8. In a search for a shape maximizing packing fraction for two-dimensional random sequential adsorption.

9. Random sequential adsorption of cubes.

Review 10. A brief review of mathematical models of thin film growth and surfaces. A possible route to avoid defects in stents.

1. Staircase patterns in words: subsequences, subwords, and separation number.