From stochastic partial difference equations to stochastic cellular automata through the ultra-discretization

From stochastic partial difference equations to stochastic cellular automata through the ultra-discretization
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通过超离散化从随机偏微分方程到随机元胞自动机

DOI:
10.1016/s0096-3003(03)00812-9
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发表时间:
2004
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
Xia Ma
Xia Ma
中科院分区:
--
文献类型:
--
作者:
N. Konno;Toshihiko Kunimatsu;Xia Ma

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我们从随机偏差分方程出发,通过超离散极限得到了具有有限范围相互作用的随机元胞自动机。随机元胞自动机的一个典型例子是Domany-Kinzel模型,它等价于作为特殊情况的混合位点键定向渗流。
We derive stochastic cellular automata with finite range interactions from stochastic partial difference equations through the ultra-discrete limit. A typical example for stochastic cellular automata is the Domany–Kinzel model which is equivalent to mixed site-bond oriented percolation as a special case.
超离散 Painleve 方程
DOI: --
发表时间: 2016
期刊:
影响因子: --
作者:
Bin Li;Yoshiro Higano;Masataka Kanki
通讯作者: Masataka Kanki