Random walks and percolation theory form a fundamental confluence in modern statistical physics and probability theory. Random walks describe the seemingly erratic movement of particles or entities, ...

Random sequential adsorption (RSA) serves as a fundamental stochastic model describing the irreversible deposition of particles onto a substrate in a sequential, non-overlapping manner. This process ...

In this paper we investigate first passage percolation on an inhomogeneous random graph model introduced by Bollobás et al. (2007). Each vertex in the graph has a type from a type space, and edge ...