Discrete Growth Models

1999/08/06 by Dorothea M. Eberz-Wagner, Eberz-Wagner, Dorothea M. · 2 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #60K35 #82C20 #Economic theories and models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #math-ph #math.MP #math.PR #msc:60K35 #msc:82C20

paper · pdf · doi:10.48550/arxiv.math/9908030

Ph. D. Thesis (University of Washington)

arxiv created 1999/08/06 · openalex publication_date 1999/08/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Part I of the thesis gives a complete analysis of gaps in a one-dimensional creation-annihilation model. Part II contains a proof of the existence of infinitely many holes in the two-dimensional DLA cluster.

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• One-dimensional long-range diffusion-limited aggregation I
• Ballistic aggregation displays self-organized criticality

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