First-passage percolation on ladder-like graphs with heterogeneous exponential times.

• We determine the asymptotic speed of the first-passage percolation process on some ladder-like graphs (or width-2 stretches) when the times associated with different edges are independent and exponentially distributed but not necessarily all with the same mean. The method uses a particular Markov chain associated with the first-passage percolation process and properties of its stationary distribution.

Ämnesord

NATURVETENSKAP  -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Probability Theory and Statistics (hsv//eng)

Nyckelord

first-passage percolation

rate of percolation

Mathematical statistics

Matematisk statistik

Mathematical Statistics

Matematisk statistik

Publikations- och innehållstyp

vet (ämneskategori)

rap (ämneskategori)