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Size-biased branching population measures and the multi-type x\logx condition
general branching process immigration size-biased measure xlogx condition
2010/3/9
We investigate the x log x condition for a general (Crump–Mode–Jagers) multi-type branching
process with a general type space by constructing a size-biased population measure that relates
to the ord...
BCCBJBATllON TIME FLUCTUATIONS OF POISSON AND EQUILIBRIUM FINITE VARIANCE BRANCHING SYSTEMS
Functional central limit theorem branching particles systems occupation time fluctuations
2009/9/18
Functional limit theorems are presented for the rescaled
occupation time fluctuation process of a critical finite variance
branching particle system in Rd with symmetric a-stable motion starting
of...
OCCUPATION TIME FLUCTUATIONS OF POISSON AND EQUILIBRIUM BRANCHING SYSTEMS IN CRITICAL AND LARGE DIMENSIONS
Functional central limit theorem occupation time fluctuations branching particles systems
2009/9/18
Limit theorems are presented for the rescaled occupation
time fluctuation process of a critical finite variance branching particle system
in Rd with symmetric ®-stable motion starting off from ...
Laws of large numbers for the occupation time of an age-dependent critical binary branching system
Infinite particle system age-dependent branching occupation times strong laws of large numbers
2009/6/15
Laws of large numbers for the occupation time of an age-dependent critical binary branching system.
Branching diffusions, superdiffusions and random media
spatial branching processes branching diffusions measure-valued processes superprocesses catalytic branching Law of Large Numbers
2009/5/18
Spatial branching processes became increasingly popular in the past decades, not only because of their obvious connection to biology, but also because superprocesses are intimately related to nonlinea...
Superprocess Approximation For a Spatially Homogeneous Branching Walk
Superprocess Branching Random Walk
2009/5/8
We present an alternative particle picture for super-stable motion. It is based on a non-local branching mechanism in discrete time and only trivial space motion.
State Classification for a Class of Interacting Superprocesses with Location Dependent Branching
spatial structure interaction superprocess location dependent branching
2009/4/29
The spatial structure of a class of superprocesses which arise as limits in distribution of a class of interacting particle systems with location dependent branching is investigated. The criterion of ...
A Resummed Branching Process Representation for a Class of Nonlinear ODEs
Branching processes Nonlinear dierential equations Resummation
2009/4/24
We study some probabilistic representations, based on branching processes, of a simple nonlinear differential equation, i.e. $u'=lambda u(au^R-1)$. The first approach is basically the same used by Le ...
The question of recurrence and transience of branching Markov chains is more subtle than for ordinary Markov chains; they can be classified in transience, weak recurrence, and strong recurrence. We re...
General branching processes conditioned on extinction are still branching processes
supercritical Bienayme-Galton-Watson process branching process
2009/3/23
It is well known that a simple, supercritical Bienaymé-Galton-Watson process turns into a subcritical such process, if conditioned to die out. We prove that the corresponding holds true for general, m...
Inference for Partially Observed Multitype Branching Processes and Ecological Applications
Parametric inference Incomplete data Multitype branchingprocesses ecology
2010/3/18
Multitype branching processes with immigration in one type are
used to model the dynamics of stage-structured plant populations.
Parametric inference is first carried out when count data of all type...