An invariance principle for Markov processes and Brownian particles with singular interaction

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Abstract

We prove an invariance principle for functionals of Markov processes. As an application we prove an invariance principle for tagged particles of Brownian particles with non-symmetric interactions.

Original languageEnglish
Pages (from-to)217-248
Number of pages32
JournalAnnales de l'institut Henri Poincare (B) Probability and Statistics
Volume34
Issue number2
DOIs
Publication statusPublished - Jan 1 1998

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Invariance Principle
Markov Process
Tagged Particle
Interaction
Markov process
Invariance

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

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title = "An invariance principle for Markov processes and Brownian particles with singular interaction",
abstract = "We prove an invariance principle for functionals of Markov processes. As an application we prove an invariance principle for tagged particles of Brownian particles with non-symmetric interactions.",
author = "Hirofumi Osada",
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