| Joint Princeton Mathematical Physics Seminar | |
| Topic: | The Universal Relation Between Exponents in First-Passage Percolation |
| Speaker: | Sourav Chatterjee |
| Affiliation: | Courant Institute,NYU |
| Date: | Tuesday, October 18 |
| Time/Room: | 4:30pm - 5:30pm/S-101 |
It has been conjectured in numerous physics papers that in ordinary first-passage percolation on integer lattices, the fluctuation exponent \chi and the wandering exponent \xi are related through the universal relation \chi=2\xi -1, irrespective of the dimension. This is sometimes called the KPZ relation between the two exponents. I will give a rigorous proof of this conjecture assuming that the exponents exist in a certain sense.