A Note on the Diffusive Scaling Limit for a Class of Linear Systems

2009/09/19 by Yukio Nagahata, Nagahata, Yukio, Nobuo Yoshida +1
Mathematics · Physics and Astronomy · #60J25 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 60K35 #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #math-ph #math.MP #math.PR #msc:60F05 #msc:60J25 #msc:60K35 #secondary 60F05

paper · pdf · doi:10.48550/arxiv.0909.3560

openalex publication_date 2009/09/19 · arxiv created 2010/09/11 · arxiv updated 2010/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a class of continuous-time stochastic growth models on d-dimensional lattice with non-negative real numbers as possible values per site. We remark that the diffusive scaling limit proven in our previous work [Nagahata, Y., Yoshida, N.: Central Limit Theorem for a Class of Linear Systems, Electron. J. Probab. Vol. 14, No. 34, 960--977. (2009)] can be extended to wider class of models so that it covers the cases of potlatch/smoothing processes.

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