An important node identification algorithm based on an improved structural hole and K-shell
decomposition algorithm is proposed to identify important nodes that affect security in …

The preferential attachment network with fitness is a dynamic random graph model. New
vertices are introduced consecutively and a new vertex is attached to an old vertex with …

We study a class of branching processes in which a population consists of immortal
individuals equipped with a fitness value. Individuals produce offspring with a rate given by …

We consider a non-conserving zero-range process with hopping rate proportional to the
number of particles at each site. Particles are added to the system with a site-dependent …

Preferential attachment models with fitness are a substantial extension of the classical
preferential attachment model, where vertices have an independent fitness that has a linear …

Zero-range processes with decreasing jump rates are well known to exhibit a condensation
transition under certain conditions on the jump rates, and the dynamics of this transition …

UPPER LARGE DEVIATIONS FOR POWER-WEIGHTED EDGE LENGTHS IN SPATIAL
RANDOM NETWORKS Page 1 Adv. Appl. Probab. 56, 34–70 (2024) doi:10.1017/apr.2023.10 …

Kingman's model of selection and mutation studies the limit type value distribution in an
asexual population of discrete generations and infinite size undergoing selection and …

A generalisation of Kingman's model of selection and mutation has been made in a previous
paper which assumes all mutation probabilities to be iid. The weak convergence of fitness …

We consider a non-conserving zero-range process with hopping rate proportional to the
number of particles at each site. Particles are added to the system with a site-dependent …