RECURRENCE FOR PERSISTENT RANDOM WALKS IN TWO DIMENSIONS
RECURRENCE FOR PERSISTENT RANDOM WALKS IN TWO DIMENSIONS
We discuss the question of recurrence for persistent, or Newtonian, random walks in ℤ 2 , i.e. random walks whose transition probabilities depend both on the walker's position and incoming direction. We use results by Tóth and Schmidt–Conze to prove recurrence for a large class of such processes, including all …