### Abstract

The author studies the case of a process X t which moves in a domain with stationary scatterers under certain geometric conditions (involving the isoperimetric constant of the domain). He proves that the limit of ϵX t/ϵ 2 is nondegenerate and gives an explicit lower bound for the determinant of its diffusion coefficient matrix.

Original language | English |
---|---|

Title of host publication | Pitman Research Notes in Mathematics Series |

Subtitle of host publication | Asymptotic problems in probability theory: stochastic models and diffusions on fractals (Sanda/Kyoto, 1990) |

Place of Publication | Longman , Longman House, Burnt Mill, Harlow Essex CM20 2JE, England. |

Publisher | Longman Sci. Tech. |

Pages | 59–74 |

Number of pages | 16 |

Volume | 283 |

Publication status | Published - 1993 |

Externally published | Yes |

## Fingerprint Dive into the research topics of 'Homogenization of reflecting barrier Brownian motions'. Together they form a unique fingerprint.

## Cite this

Osada, H. (1993). Homogenization of reflecting barrier Brownian motions. In

*Pitman Research Notes in Mathematics Series: Asymptotic problems in probability theory: stochastic models and diffusions on fractals (Sanda/Kyoto, 1990)*(Vol. 283, pp. 59–74). Longman Sci. Tech..