Off-lattice model for stationary DLA
报告人：Eviatar B. Procaccia（Texas A&M University）
地点：Room 1513, Sciences Building No. 1
Abstract: We construct and study a stationary version of the Hastings-Levitov(0) model. We prove that unlike the classical model, in the stationary case particle sizes are constant in expectation, yielding that this model can be seen as a tractable off-lattice Diffusion Limited Aggregation. The stationary setting together with a geometric interpretations of the harmonic measure yields new geometric results such as stabilization, finiteness of arms and unbounded width in mean of arms. Moreover we can present an exact conjecture for the fractal dimension.
Joint work with Noam Berger and Amanda Turner.