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Harmonic Measure

Chapter
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Part of the Probability and Its Applications book series (PA)

Abstract

The hitting probability of a set AZ d is the function H A : Z d × A → [0, 1] defined by
$$ {H_A}\left( {x,y} \right) = {P^x}\{ {S_\tau } = y\} $$
where
$$ \tau = {\tau _A} = \inf \{ j \ge 1:{S_j} \in A\} $$
(2.1)

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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  1. 1.Department of MathematicsDuck UniversityDurhamUSA

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