Singularity of Some Random Continued Fractions

Springer Science and Business Media LLC - Tập 13 - Trang 535-545 - 2000
Russell Lyons1
1Department of Mathematics, Indiana University, Bloomington

Tóm tắt

We prove singularity of some distributions of random continued fractions that correspond to iterated function systems with overlap and a parabolic point. These arose while studying the conductance of Galton-Watson trees.

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