Central limit theorem for generalized Weierstrass functions
DOI10.1142/S0219493719500023zbMath1409.37028arXiv1508.02033MaRDI QIDQ4630514
Publication date: 26 March 2019
Published in: Stochastics and Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.02033
Weierstrass functionBloch functionvariancecentral limit theoremlaw of iterated logarithmergodic theoryTakagi functioncohomological equationexpanding maps
Central limit and other weak theorems (60F05) Dynamical aspects of measure-preserving transformations (37A05) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Dynamical systems involving maps of the circle (37E10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
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Cites Work
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- Boundary values of harmonic gradients and differentiability of Zygmund and Weierstrass functions
- On probabilistic properties of Takagi's function
- Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps. I
- Thermodynamics, dimension and the Weil-Petersson metric
- Smooth deformations of piecewise expanding unimodal maps
- Lipschitz spaces, smoothness of functions, and approximation theory
- The boundary behavior of Bloch functions and univalent functions
- Ergodic properties of invariant measures for piecewise monotonic transformations
- Ordinary differential equations and quasiconformal mappings
- Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture
- Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle
- Sums of continuous and differentiable functions in dynamical systems
- A Poisson limit theorem for toral automorphisms
- Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps, II
- On the Distortion of Boundary Sets Under Conformal Mappings
- Generalized bounded variation and applications to piecewise monotonic transformations
- On the Central Limit Theorem for Dynamical Systems
- Almost sure invariance principles for partial sums of weakly dependent random variables
- CENTRAL LIMIT THEOREM FOR THE MODULUS OF CONTINUITY OF AVERAGES OF OBSERVABLES ON TRANSVERSAL FAMILIES OF PIECEWISE EXPANDING UNIMODAL MAPS
- Probability: A Graduate Course
- Weierstrass functions in Zygmund’s class
- Probabilistic Behaviour of Functions in the Zygmund Spaces ∧ * and λ *
- Alternative proofs of linear response for piecewise expanding unimodal maps
- On Makarov’s Principle in Conformal Mapping
- CENTRAL LIMIT THEOREM FOR DIMENSION OF GIBBS MEASURES IN HYPERBOLIC DYNAMICS
- Differentiability of functions in the Zygmund class
- Linear response formula for piecewise expanding unimodal maps
