Dayi Zhu

Central Limit Theorems for Random Walks on the 3-Regular Tree

We present four related limit theorems for random walks, beginning with a one-dimensional nearest-neighbour walk and its absolute value. The absolute value has a normal limit after centring when the drift is nonzero, and a half-normal limit when the drift is zero. The main part o...

Central Limit Theorems for Random Walks on the 3-Regular Tree

We present four related limit theorems for random walks, beginning with a one-dimensional nearest-neighbour walk and its absolute value. The absolute value has a normal limit after centring when the drift is nonzero, and a half-normal limit when the drift is zero. The main part o...