Abstract
We study a conformal measure for an infinitely renormalizable quadratic polynomial. We prove that the conformal measure is ergodic if the polynomial is unbranched and has complex bounds. The main technique we use in the proof is the three-dimensional puzzle for an infinitely renormalizable quadratic polynomial.
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Huang, Z., Jiang, Y. & Wang, Y. On conformal measures for infinitely renormalizable quadratic polynomials. Sci. China Ser. A-Math. 48, 1411–1420 (2005). https://doi.org/10.1360/04ys0221
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DOI: https://doi.org/10.1360/04ys0221