An invariance principle for one large particle with collisions (Q1090475)

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scientific article; zbMATH DE number 4007759
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English
An invariance principle for one large particle with collisions
scientific article; zbMATH DE number 4007759

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    An invariance principle for one large particle with collisions (English)
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    1985
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    There are considered Poisson distributed ideal colliding identical particles on a real line interacting with one big particle. The author proves that a certain stochastic process constructed from the position and the increments of the velocities of the big particle converges weakly to standard Brownian motion.
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    Poisson distributed ideal colliding identical particles
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    stochastic process
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    standard Brownian motion
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