State Classification for a Class of Interacting Superprocesses with Location Dependent Branching | Zendy

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State Classification for a Class of Interacting Superprocesses with Location Dependent Branching

Author(s) -

Hao Wang

Publication year - 2002

Publication title -

electronic communications in probability

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.236

H-Index - 38

ISSN - 1083-589X

DOI - 10.1214/ecp.v7-1057

Subject(s) - mathematics , class (philosophy) , state (computer science) , branching (polymer chemistry) , statistical physics , particle system , space (punctuation) , set (abstract data type) , combinatorics , state space , pure mathematics , mathematical analysis , statistics , physics , algorithm , linguistics , philosophy , materials science , artificial intelligence , computer science , composite material , programming language , operating system

Thespatialstructureofaclassofsuperprocesseswhichariseaslimitsindistributionofaclass ofinteractingparticlesystemswithlocationdependentbranchingisinvestigated. Thecriterion of their state classiflcation is obtained. Their efiective state space is contained in the set of purely-atomicmeasuresorthesetofabsolutelycontinuousmeasuresaccordingasonedifiusive coe-cient c(x)· 0 or jc(x)j‚ " > 0 while another difiusive coe-cient h2 C2 b(R).

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