非紧空间平衡态的动态过程的存在性
THE EXISTENCE OF HAMILTONIAN DYNAMIC PROCESSES
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摘要: 本文给定一个非紧空间的Hamiltonian量,然后构造一个适当的动力系统,使得有限维Gibbs态的极限Gibbs态是这个系统的可逆测度,从而是这个系统的不变测度。Abstract: In this paper, by using Hille-Yosida theorem, we construot dynamio prooesses whose Hamiltonian is given by $H(x)=\sum_{\mid x-v 1^2=1}\left|x_u-x_0\right|^2+\sum_{u \in s} \Phi\left(x_u\right)$; where H（x） is defined on a non-compaet （Rd）s. We prove that the limit of Hamiltonian finite dimensions Gibbs state is a reversible measure of the construoted Markov processes.
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