Abstract A properly scaled critical Galton–Watson process converges to a continuous state critical branching process …

models, it is possible to observe phase transition as a branching process, which is one of the absorption phase transitions …

Abstract We consider a strongly supercritical branching process in random environment with immigration stopped at a …

Galton Watson Branching Process -- Continuous Time Markov Chains -- Poisson Process -- Birth and Death Processes -- Brownian … chains, such as random walk, gambler's ruin problem, Ehrenfest model and Bienayme-Galton-Watson branching process; and then …

Abstract The stationary immigration has a limited effect over the asymptotic behavior of the underlying branching … process. It affects mostly the limiting distribution and the life-period of the process. In contrast, if the immigration rate …