Large deviation principles of one-dimensional maps for H\"{o}lder continuous potentials
classification
🧮 math.DS
keywords
deviationlargemapsone-dimensionalprinciplesaveragesbirkhoffcomplex
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We show some level-2 large deviation principles for real and complex one-dimensional maps satisfying a weak form of hyperbolicity. More precisely, we prove a large deviation principle for the distribution of iterated preimages, periodic points, and Birkhoff averages.
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