Journal of Applied Probability, Vol. 41, Stochastic Methods and Their Applications (2004), pp. 347-360 (14 pages) This paper investigates the probabilistic behaviour of the eigenvalue of the empirical ...
We consider the first passage percolation problem on the random graph with vertex set â„• x {0, 1}, edges joining vertices at a Euclidean distance equal to unity, and independent exponential edge ...