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arXiv 0910.4241math-phmath.MP
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构造连续介质中Glauber动力学的一种近似方法

An approximative approach to construction of the Glauber dynamics in continuum

Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy, Elena Zhizhina

摘要:

我们发展了一种新的方法来构造连续介质中的Glauber动力学。在适当的Banach空间中证明了相应的强连续压缩半群的存在性。此外,我们提出了有限体积和无限体积近似的半群有界线性算子的家庭。

英文摘要:

We develop a new approach for the construction of the Glauber dynamics in continuum. Existence of the corresponding strongly continuous contraction semigroup in a proper Banach space is shown. Additionally we present the finite- and infinite-volume approximations of the semigroup by families of bounded linear operators.

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。

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