An approximative approach for construction of the Glauber dynamics in continuum

作者：Finkelshtein Dmitri^*; Kondratiev Yuri; Kutoviy Oleksandr; Zhizhina Elena

来源：Mathematische Nachrichten, 2012, 285(2-3): 223-235.

DOI：10.1002/mana.200910248

• Continuous systems
• non-equilibrium Glauber dynamics
• spatial birth-and-death processes
• semigroup approximation
• stochastic evolution

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.

• 出版日期2012-2