Shape theorem for a one-dimensional growing particle system with a bounded number of occupants per site
| العنوان: | Shape theorem for a one-dimensional growing particle system with a bounded number of occupants per site |
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| المؤلفون: | Viktor Bezborodov, Luca Di Persio, Tyll Krueger |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Statistics and Probability, Particle system, 60K35, 82C22, Interacting particle system, Birth process, General Mathematics, Probability (math.PR), 010102 general mathematics, Mathematical analysis, Process (computing), 01 natural sciences, Exponential function, 010104 statistics & probability, Position (vector), Shape theorem, Bounded function, FOS: Mathematics, Particle, Limit (mathematics), 0101 mathematics, Statistics, Probability and Uncertainty, Mathematics - Probability, Mathematics |
| الوصف: | We consider a one-dimensional discrete-space birth process with a bounded number of particle per site. Under the assumptions of the finite range of interaction, translation invariance, and non-degeneracy, we prove a shape theorem. We also derive a limiting estimate and an exponential estimate on the fluctuations of the position of the rightmost particle. 17 pages; a short section devoted to numerical simulations is added; other small changes and improvements |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::528013bc8a8464b164249be043e20927 http://arxiv.org/abs/1911.12867 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....528013bc8a8464b164249be043e20927 |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |