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|Title:||Conditioned two-dimensional simple random walk: green’s function and harmonic measure|
|Abstract:||We study the Doob’s h-transform of the two-dimensional simple random walk with respect to its potential kernel, which can be thought of as the two-dimensional simple random walk conditioned on never hitting the origin. We derive an explicit formula for the Green’s function of this random walk and also prove a quantitative result on the speed of convergence of the (conditional) entrance measure to the harmonic measure (for the conditioned walk) on a finite set|
|Subject:||Green, Funções de|
|Appears in Collections:||IMECC - Artigos e Outros Documentos|
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