Non-vanishing derivatives of Lyapunov exponents and the pressure function

DOI10.1080/14689360600872037zbMath1370.37091OpenAlexW2029372344MaRDI QIDQ3424250

Shrihari Sridharan

Publication date: 15 February 2007

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689360600872037

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Cites Work

• The dimension of the maximal measure for a polynomial map
• Central limit asymptotics for shifts of finite type
• The dynamics of rational transforms: the topological picture
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Ergodic theory of equilibrium states for rational maps

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