ANALYSIS/MATHEMATICAL PHYSICS SEMINAR | |

Topic: | Shape Fluctuations of Growing Droplets and Random Matrix Theory |

Speaker: | Herbert Spohn |

Affiliation: | Technical University, Munich |

Date: | Friday, March 18 |

Time/Room: | 11:30am - 12:30pm/S-101 |

We explain an exact solution of the one-dimensional Kardar-Parisi-Zhang equation with sharp wedge initial data. Physically this solution describes the shape fluctuations of a thin film droplet formed by the stable phase expanding into the unstable phase. In the long time limit our solution converges to the Tracy-Widom distribution of the largest eigenvalue of GUE random matrices.