A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2022; you can also visit the original URL.
The file type is application/pdf
.
Coexistence in chase-escape
2020
Electronic Communications in Probability
We study a competitive stochastic growth model called chase-escape in which red particles spread to adjacent uncolored sites and blue particles only to adjacent red sites. Red particles are killed when blue occupies the same site. If blue has rate-1 passage times and red rate-λ, a phase transition occurs for the probability red escapes to infinity on Z d , d-ary trees, and the ladder graph Z × {0, 1}. The result on the tree was known, but we provide a new, simpler calculation of the critical
doi:10.1214/20-ecp302
fatcat:e64dd23bujemhhqaojzjy44tqu