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Singularity of Some Random Continued Fractions

Probability 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/9909097,
  title  = {Singularity of Some Random Continued Fractions},
  author = {Russell Lyons},
  journal= {arXiv preprint arXiv:math/9909097},
  year   = {2007}
}

Comments

To appear in J. Theoret. Prob