Corrigendum to: The contact process on periodic trees (Electronic Communications in Probability)

In [1] we considered periodic trees in which the number of children in successive generations is (n, a1, …, ak ) with maxi ai ≤ Cn^1−δ and (log ai)/ log n → bi as n → ∞. Our proof contained an error. In this note we correct the proof. The theorem has changed: the critical value for local survival is asymptotically^√¯ck (log n)/n where lk = max{i: 0 ≤ i ≤ k, ai ≠ 1} and ¯ck = min{k + 1 − lk − blk, (k − b)/2}, where b = limn→∞ log(a1a2 · · · ak )/ log n.

Duke Scholars

Author Richard Timothy Durrett Mathematics