基于随机偏微分方程的自组织临界性
Self-organized criticality via stochastic partial differential equations
摘要：
模型的自组织临界性，这可以被描述为奇异扩散或没有（乘法）维纳强迫项（例如，巴克/唐/Wiesenfeld和张模型），进行了分析。证明了非负强解的存在唯一性。先前数值预测的过渡到临界状态的1-D证实了一个严格的证明，这确实发生在有限的时间与高概率。
英文摘要：
Models of self-organized criticality, which can be described as singular diffusions with or without (multiplicative) Wiener forcing term (as e.g. the Bak/Tang/Wiesenfeld- and Zhang-models), are analyzed. Existence and uniqueness of nonnegative strong solutions are proved. Previously numerically predicted transition to the critical state in 1-D is confirmed by a rigorous proof that this indeed happens in finite time with high probability.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
