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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 ...
Disaggregation of Long Memory Processes on $mathcal{C}^{infty}$ Class
Aggregation disaggregation longmemory processes mixtures
2009/4/22
We prove that a large set of long memory (LM) processes (including classical LM processes and all processes whose spectral densities have a countable number of singularities controlled by exponential ...