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
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.
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