|ANALYSIS/MATHEMATICAL PHYSICS SEMINAR|
|Topic:||Shape Fluctuations of Growing Droplets and Random Matrix Theory|
|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.