Classical Model for Super-Brownian Motion
Brownian branching particle systems
Empirical measure-valued processes
Multiplicative property and infinite divisibility
MuP is equivalent to infinite divisibility
Log-Laplace functional and evolution equation
Structural properties of Super-Brownian motion
SPDE for Super-Brownian motion
New Model, spatial motion assumption
New Model, branching mechanism
Dependency of the particles in the new model
Loss of the multiplicative property
Construction : existence of solution of MP
Construction : uniqueness of solution of MP
Change the form of the generator
Change the form of the generator
Duality for singular coefficient
Existence of the density process
Feller’s criterion of accessibility
Derivations of SPDEs for density processes
Degenerate SPDE for purely-atomic superprocess
A generalized new model and SDSM
New Model, spatial motion assumption
New Model, branching mechanism
Dependency of the particles in the new model
Construction : existence of solution of MP
State classification for this location dependent branching model