Projects per year

## Abstract

We study the dynamics of a point particle in a periodic array of spherical scatterers and construct a stochastic process that governs the time evolution for random initial data in the limit of low scatterer density (Boltzmann-Grad limit). A generic path of the limiting process is a piecewise linear curve whose consecutive segments are generated by a Markov process with memory two.

Translated title of the contribution | The Botzmann-Grad limit of the periodic Lorentz gas |
---|---|

Original language | English |

Pages (from-to) | 225 - 298 |

Number of pages | 64 |

Journal | Annals of Mathematics |

Volume | 174 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 2011 |

### Bibliographical note

Publisher: Princeton University## Fingerprint

Dive into the research topics of 'The Boltzmann-Grad limit of the periodic Lorentz gas'. Together they form a unique fingerprint.## Projects

- 1 Finished