Details

Autor(en) / Beteiligte

• ATHREYA, KRISHNA B.
• ATHREYA, SIVA R.
• IYER, SRIKANTH K.

Titel

Supercritical age-dependent branching Markov processes and their scaling limits

Ist Teil von

• Bernoulli : official journal of the Bernoulli Society for Mathematical Statistics and Probability, 2011-02, Vol.17 (1), p.138-154

Ort / Verlag

International Statistical Institute and Bernoulli Society for Mathematical Statistics and Probability

Erscheinungsjahr

2011

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• This paper studies the long-time behavior of the empirical distribution of age and normalized position of an age-dependent supercritical branching Markov process. The motion of each individual during its life is a random function of its age. It is shown that the empirical distribution of the age and the normalized position of all individuals alive at time t converges as t → ∞ to a deterministic product measure.