Disorder, entropy and harmonic functions
نویسندگان
چکیده
منابع مشابه
Disorder , Entropy and Harmonic Functions
We study harmonic functions on random environments with particular emphasis on the case of the infinite cluster of supercritical percolation on Z. We prove that the vector space of harmonic functions growing at most linearly is (d+ 1)-dimensional almost surely. Further, there are no nonconstant sublinear harmonic functions (thus implying the uniqueness of the corrector). A main ingredient of th...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2015
ISSN: 0091-1798
DOI: 10.1214/14-aop934