Abstract
In the subcritical speed area of a supercritical branching random walk, we prove that when the number of generations grows the probability of presence is asymptotically proportional to the corresponding expectation as in a subcritical Galton-Watson process. This improves a known result on the logarithm of this probability. The basic tools are a discrete version of the Feynman-Kac representation and large deviations.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
