A system of infinitely many mutually reffecting Brownian balls in ℝd

A system of infinitely many mutually reffecting Brownian balls in ℝd
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ℝd 中无限多个相互影响的布朗球系统

DOI:
10.1007/bf01213687
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发表时间:
1996
影响因子:
2
通讯作者:
H. Tanemura
H. Tanemura
中科院分区:
数学1区
文献类型:
--
作者:
H. Tanemura

文献摘要

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研究了一类Skorohod型方程组.在有限情形下,通过传递到极限,得到了系统的唯一解。它是一个描述无限多个布朗硬球系统的扩散过程,具有与作为可逆测度的硬核对势相关联的吉布斯态。
SumamryAn infinite system of Skorohod type equations is studied. The unique solution of the system is obtained from a finite case by passing to the limit. It is a diffusion process describing a system of infinitely many Brownian hard balls and has a Gibbs state associated with the hard core pair potential as a reversible measure.