Symmetric Markov chains on $\mathbb{Z}^d$ with unbounded range
نویسندگان
چکیده
منابع مشابه
Symmetric Markov Chains on Z with Unbounded Range
We consider symmetric Markov chains on Zd where we do not assume that the conductance between two points must be zero if the points are far apart. Under a uniform second moment condition on the conductances, we obtain upper bounds on the transition probabilities, estimates for exit time probabilities, and certain lower bounds on the transition probabilities. We show that a uniform Harnack inequ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2007
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-07-04281-x