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An approximative approach for construction of the Glauber dynamics in continuum

✍ Scribed by Dmitri Finkelshtein; Yuri Kondratiev; Oleksandr Kutoviy; Elena Zhizhina

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
169 KB
Volume
285
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

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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