无序随机Ising模型谱的1-粒子分支的位置
On the Location of the 1-particle Branch of the Spectrum of the Disordered Stochastic Ising Model
摘要：
我们分析了较低的非平凡的一部分的谱的发电机的Glauber动力学，我们认为这是一个积极的运营商，为d-维最近邻伊辛模型与有界随机潜力。我们证明猜想1在一份文件中Albeverio等人。（称为[AMSZ]），也就是说，对于足够大的温度值，该过程的发生器的频谱的第一频带与实直线的闭合非随机段重合。
英文摘要：
We analyse the lower non trivial part of the spectrum of the generator of the Glauber dynamics, which we consider a positive operator, for a d-dimensional nearest neighbour Ising model with a bounded random potential. We prove conjecture 1 in a paper by Albeverio et al.(referred as [AMSZ]) that is, for sufficently large values of the temperature, the first band of the spectrum of the generator of the process coincides with a closed non random segment of the real line.
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