Large deviation Local Limit Theorems and limits of biconditioned Trees and Maps
Large deviation Local Limit Theorems and limits of biconditioned Trees and Maps
We first establish new local limit estimates for the probability that a nondecreasing integer-valued random walk lies at time $n$ at an arbitrary value, encompassing in particular large deviation regimes. This enables us to derive scaling limits of such random walks conditioned by their terminal value at time $n$ in …