On phase transitions and limit theorems for homopolymers

被引：0
|
作者：
Cranston, M. [1 ]
Molchanov, S. [1 ]
机构：
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源：
Probability and Mathematical Physics: A Volume in Honor of Stanislav Molchanov | 2007年 / 42卷
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D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given the measure on random walk paths P-0 and a Hamiltonian H the Gibbs perturbation of H defined by dP(beta,t)/dP(0) = Z(beta,t)(-1) exp{beta H(t,x)} with Z(beta,t) = integral exp{beta H(t,x)}dP(0)(x) gives a new measure on paths x which can be viewed as polymers. In the the case H(t, x) = integral(t)(0) delta(0)(x(s)) ds we say the resulting measure is concentrated on "homopolymers" and are interested in the influence of dimension and beta on their behavior.
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页码：97 / 112
页数：16
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