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| ABSOLUTE CONTINUITY FOR INTERACTING MEASURE-VALUEDBRANCHING BROWNIAN MOTIONS |
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Citation： |
Zhao Xuelei.ABSOLUTE CONTINUITY FOR INTERACTING MEASURE-VALUEDBRANCHING BROWNIAN MOTIONS[J].Chinese Annals of Mathematics B,1997,18(1):47~54 |
| Page view： 977
Net amount： 642 |
Authors： |
Zhao Xuelei; |
Foundation： |
Project supported by the National Natural Science Foundation of China, Chinese Postdoctoral Science Foundation and
Guangdong Natural Science Foundation |
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| Abstract： |
The moments and absolute continuity of measure-valued
branching Brownian motions with
bounded interacting intensity are investigated.
An estimate of
higher order moments is obtained.
The absolute
continuity is verified in the one dimension case. This thereby
verifies the conjecture of M\'{e}l\'{e}ard and Roelly in [5]. |
Keywords： |
Interacting measure-valued branching process,
Absolute continuity, Branching Brownian motion, Comparison lemma. |
Classification： |
60G57, 60K35, 60J80 |
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