التفاصيل البيبلوغرافية
| العنوان: |
A Shape Theorem for a One-Dimensional Growing Particle System with a Bounded Number of Occupants per Site. |
| المؤلفون: |
Bezborodov, Viktor, Di Persio, Luca, Krueger, Tyll |
| المصدر: |
Journal of Theoretical Probability; Dec2021, Vol. 34 Issue 4, p2265-2284, 20p |
| مستخلص: |
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 limit estimate and an exponential estimate on the fluctuations of the position of the rightmost particle. [ABSTRACT FROM AUTHOR] |
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| قاعدة البيانات: |
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