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Updated: Jan 1, 2026

Formation of Thick Dense Yttrium Iron Garnet Films Using Aerosol Deposition
Published on: May 15, 2015
On ballistic deposition process on a strip
Toufik Mansour1, Reza Rastegar2, Alexander Roitershtein3
1Department of Mathematics, University of Haifa, 199 Abba Khoushy Ave, 3498838 Haifa, Israel.
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.
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