Sufficient conditions are given for CIMBI processes to avoid the boundary entirely and for hitting it almost surely (diffusion case) or with positive probability (finite-activity jumps) under small constant immigration.
Branching processes with interaction and a generalized Ray-Knight theorem
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.PR 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Boundary behavior of continuous-state interacting multi-type branching processes with immigration
Sufficient conditions are given for CIMBI processes to avoid the boundary entirely and for hitting it almost surely (diffusion case) or with positive probability (finite-activity jumps) under small constant immigration.