A Problem in Last-Passage Percolation

Harry Kesten, Vladas Sidoravicius

Let $\{X(v),v\in {\mathbb{Z}}^d\times {\mathbb{Z}}_{+}\}$ be an i.i.d. family of random variables such that $P\{X(v)=e^b\}=1-P\{X(v)=1\}=p$ for some $b>0$. We consider paths $π\subset \Bb…