On One-dimensional Multi-Particle Diffusion Limited Aggregation
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🧮 math.PR
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aggregationdensitydiffusiongrowthlimitedlinearmulti-particleparticle
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We prove that the one dimensional Multi-Particle Diffusion Limited Aggregation model has linear growth whenever the particle density exceeds 1 answering a question of Kesten and Sidoravicius. As a corollary we prove linear growth in all dimensions d when the particle density is at least 1.
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