REMARKS ON LARGE DEVIATION FOR RATIONAL MAPS ON THE RIEMANN SPHERE

DOI10.1142/S0219493707002074zbMath1143.37037MaRDI QIDQ3502799

Hongqiang Xia, Xin-Chu Fu

Publication date: 20 May 2008

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

spectral gaprational mapslarge deviation theorem

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodicity, mixing, rates of mixing (37A25) Large deviations (60F10) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items (3)

Weak expansion properties and large deviation principles for expanding Thurston maps ⋮ Large deviation principles for non-uniformly hyperbolic rational maps ⋮ Large deviation principles of one-dimensional maps for Hölder continuous potentials

Cites Work

• Large deviation principles for stationary processes
• Entropy and large deviation
• LOCAL LIMIT THEOREMS FOR PARTIAL SUMS OF STATIONARY SEQUENCES GENERATED BY GIBBS–MARKOV MAPS
• Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness

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