Growth exponent for loop-erased random walk in three dimensions
- Daisuke Shiraishi (Kyoto University + ETH Zurich)
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.