Abstract
Expansive rational maps T:C→ C which are not expanding with respect to the spherical metric are those which have rationally indifferent periodic points. For an atomless t-conformal measure m of such a rational map we prove the existence of a unique (up to a multiplicative constant) σ-finite, T-invariant measureμabsolutely continuous with respect to m. We also give a necessary and sufficient condition for the measureμ to be finite.
Original language | English (US) |
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Pages (from-to) | 561-580 |
Number of pages | 20 |
Journal | Forum Mathematicum |
Volume | 3 |
Issue number | 3 |
DOIs | |
State | Published - Jan 1 1991 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics