TY - JOUR
T1 - Catalytic branching processes via spine techniques and renewal theory
AU - Doering, Leif
AU - Roberts, Matthew I
PY - 2013
Y1 - 2013
N2 - In this article we contribute to the moment analysis of branching processes in catalytic media. The many-to-few lemma based on the spine technique is used to derive a system of (discrete space) partial differential equations for the number of particles in a variation of constants formulation. The long-time behaviour is then deduced from renewal theorems and induction.
AB - In this article we contribute to the moment analysis of branching processes in catalytic media. The many-to-few lemma based on the spine technique is used to derive a system of (discrete space) partial differential equations for the number of particles in a variation of constants formulation. The long-time behaviour is then deduced from renewal theorems and induction.
UR - http://arxiv.org/abs/1106.5428
UR - http://dx.doi.org/10.1007/978-3-319-00321-4_12
U2 - 10.1007/978-3-319-00321-4_12
DO - 10.1007/978-3-319-00321-4_12
M3 - Article
SN - 1721-8766
VL - XLV
SP - 305
EP - 322
JO - Séminaire de Probabilités
JF - Séminaire de Probabilités
ER -