Survival of homogeneous fragmentation processes with killing

Abstract

We consider a homogenous fragmentation process with killing at an exponential barrier. With the help of two families of martingales we analyse the growth of the largest fragment for parameter values that allow for survival. In this respect the present paper is also concerned with the probability of extinction of the killed process.

References in corpus (2)

• The genealogy of branching Brownian motion with absorption
• Quasi-stationary regime of a branching random walk in presence of an absorbing wall