Abstract for the talk at 18.06.2015 (10:00 h)Arbeitsgemeinschaft ANGEWANDTE ANALYSIS
Daisuke Shiraishi (Kyoto University + ETH Zurich)
Growth exponent for loop-erased random walk in three dimensions
We show the existence of the growth exponent for loop-erased random walk (LERW) in three dimensions. We also present exponential tail bounds for the number of steps of the LERW in three dimensions. In the talk, we present the sketch of the proof via non-intersecting random walks.