On convergence of generators of equilibrium dynamics of hopping particles to generator of a birth-and-death process in continuum

• Veröffentlicht in: Condensed Matter Physics
• Datum: 2008
• Hauptverfasser: Lytvynov, E., Polara, P.T.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут фізики конденсованих систем НАН України 2008
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/119137
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On convergence of generators of equilibrium dynamics of hopping particles to generator of a birth-and-death process in continuum / E. Lytvynov, P.T. Polara // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 223-236. — Бібліогр.: 24 назв. — англ.

We deal with the two following classes of equilibrium stochastic dynamics of infinite particle systems in continuum: hopping particles (also called Kawasaki dynamics), i.e., a dynamics where each particle randomly hops over the space, and birth-and-death process in continuum (or Glauber dynamics),...