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- W577803372 abstract "In this chapter we collect some preliminary facts that we will need in the sequel. In Sect. 1.1 we introduce our basic notation related to subsets of ({mathbb{Z}}^{d}) and functions on ({mathbb{Z}}^{d}). In Sect. 1.2 we introduce simple random walk on ({mathbb{Z}}^{d}) and discuss properties of the Green function in the transient case d ≥ 3. In Sect. 1.3 we discuss the basics of potential theory, introduce the notion of equilibrium measure and capacity, and derive some of their properties." @default.
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- W577803372 date "2014-01-01" @default.
- W577803372 modified "2023-09-27" @default.
- W577803372 title "Random Walk, Green Function, and Equilibrium Measure" @default.
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- W577803372 doi "https://doi.org/10.1007/978-3-319-05852-8_1" @default.
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