English

An approximative approach to construction of the Glauber dynamics in continuum

Mathematical Physics 2015-01-27 v2 math.MP

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.

Keywords

Cite

@article{arxiv.0910.4241,
  title  = {An approximative approach to construction of the Glauber dynamics in continuum},
  author = {Dmitri Finkelshtein and Yuri Kondratiev and Oleksandr Kutoviy and Elena Zhizhina},
  journal= {arXiv preprint arXiv:0910.4241},
  year   = {2015}
}

Comments

18 pages