On symmetric random walks with random conductances on ℤd
On symmetric random walks with random conductances on ℤd
复制标题
ℤd 上具有随机电导的对称随机游走
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
P. Mathieu
中科院分区：
文献类型：
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作者：
L. Fontes;P. Mathieu
我们研究了随机环境中连续时间、对称、奇异值随机游动的模型。我们的目标之一是在不存在均匀椭圆性假设的情况下得到转移概率衰减的估计。我们考虑的情况下，独立的电导与多项式尾部接近0，并获得精确的渐近退火返回概率和收敛时间的随机游走局限于一个有限的盒子。
We study models of continuous time, symmetric, ℤd-valued random walks in random environments. One of our aims is to derive estimates on the decay of transition probabilities in a case where a uniform ellipticity assumption is absent. We consider the case of independent conductances with a polynomial tail near 0 and obtain precise asymptotics for the annealed return probability and convergence times for the random walk confined to a finite box.