Abstract
By a symmetric interval partition we mean a perfect, closed random set Ξ in [0,1] of Lebesgue measure 0, such that the lengths of the connected components of Ξ c occur in random order. Such sets are analogous to the regenerative sets on R + , and in particular there is a natural way to define a corresponding local time random measure ξ with support Ξ. In this paper, the author's recently developed duality theory is used to construct versions of the Palm distributions Q x of ξ with attractive continuity and approximation properties. The results are based on an asymptotic formula for hitting probabilities and a delicate construction and analysis of conditional densities.
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