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

Dmitri Finkelshtein; Eugene Lytvynov; Yuri Kondratiev

arxiv: 0803.3551 · v1 · submitted 2008-03-25 · 🧮 math-ph · math.MP· math.PR

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

Dmitri Finkelshtein , Yuri Kondratiev , Eugene Lytvynov This is my paper

classification 🧮 math-ph math.MPmath.PR

keywords dynamicsbirth-and-deathcontinuumhoppingparticlesclassesconvergencederived

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We show that some classes of birth-and-death processes in continuum (Glauber dynamics) may be derived as a scaling limit of a dynamics of interacting hopping particles (Kawasaki dynamics)

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

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