Cover Image

Limit Theorems for a class of unbounded observables with an application to "Sampling the Lindelöf hypothesis"

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fernando, Kasun, Schindler, Tanja I.
Format:	Preprint
Published:	2023
Subjects:	Dynamical Systems Number Theory 37A50, 60F05, 37A44, 11M06
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Trimmed ergodic sums for non-integrable functions with power singularities over irrational rotations
by: Auer, Max, et al.
Published: (2025)

The influence of the maximal summand on ergodic sums of non-integrable observables over rotations
by: Kanigowski, Adam, et al.
Published: (2025)

Almost sure limit theorems with applications to non-regular continued fraction algorithms
by: Bonanno, Claudio, et al.
Published: (2023)

Extravagance, irrationality and Diophantine approximation
by: Aaronson, Jon, et al.
Published: (2024)

Limit laws of maximal Birkhoff sums for circle rotations via quantum modular forms
by: Borda, Bence
Published: (2023)

On the Gauss-Kuzmin-Lévy problem for nearest integer continued fractions
by: Boca, Florin P., et al.
Published: (2022)

Doubly Intermittent Maps with Critical Points, Unbounded Derivatives and Regularly Varying Tail
by: Mubarak, Muhammad, et al.
Published: (2022)

A new class of $α$-Farey maps and an application to normal numbers
by: Dajani, Karma, et al.
Published: (2024)

Regularity properties of $k$-Brjuno and Wilton functions
by: Lee, Seul Bee, et al.
Published: (2021)

Central Limit Theorem for Sequential Dynamical Systems
by: Demers, Mark F., et al.
Published: (2025)

Central Limit Theorem for non-stationary random products of $\SL(2, \R)$ matrices
by: Gorodetski, Anton, et al.
Published: (2024)

Multidimensional local limit theorem in deterministic systems and an application to non-convergence of polynomial multiple averages
by: Kosloff, Zemer, et al.
Published: (2024)

Products of exact dynamical systems and Lorentzian continued fractions
by: Barreto-Rosa, Brandon G., et al.
Published: (2025)

Error bounds in a smooth metric for Brownian approximation of dynamical systems via Stein's method
by: Leppänen, Juho, et al.
Published: (2025)

A parameter ASIP for the quadratic family
by: Aspenberg, Magnus, et al.
Published: (2022)

Limit Theorems for $θ$-expansions and the Failure of the Strong Law
by: Rusu, Andreas, et al.
Published: (2026)

Submanifold-genericity of $\mathbb{R}^d$-actions and uniform multiplicative Diophantine approximation
by: Bandi, Prasuna, et al.
Published: (2025)

A Julia-Fatou Theory via Random Systems with Complete Connections
by: Endo, Yoshiyuki
Published: (2026)

Lattice points in thickened parabolas and rational points near hypersurfaces
by: Smith, Alexander
Published: (2025)

Absolutely continuous invariant measures for random dynamical systems of beta-transformations
by: Suzuki, Shintaro
Published: (2023)

Inducing contractions of the mother of all continued fractions
by: Dajani, Karma, et al.
Published: (2025)

Non-escape of mass for arithmetic quantum limits on hyperbolic $4$-manifolds
by: de Faveri, Alexandre, et al.
Published: (2024)

Counting functions over periodic orbits of a skew-product map
by: Gopinathan, Subith, et al.
Published: (2025)

Return Times Distribution of Expanding Maps
by: Haydn, Nicolai T A
Published: (2025)

Higher order return times for $ϕ$-mixing measures
by: Haydn, Nicolai T A, et al.
Published: (2025)

The Density Finite Sums Theorem
by: Kra, Bryna, et al.
Published: (2025)

Counterexamples to double recurrence for non-commuting deterministic transformations
by: Kosloff, Zemer, et al.
Published: (2025)

Quenched limit theorems via mixing of all orders for random dynamical systems
by: Auer, Max
Published: (2026)

Birkhoff sum convergence of Fréchet observables to stable laws for Gibbs-Markov systems and applications
by: Chen, An, et al.
Published: (2024)

Dynamics of $\mathscr{B}$-free systems generated by Behrend sets. I
by: Kasjan, Stanisław, et al.
Published: (2022)

On a tree of rational functions related to continued fractions
by: Langeveld, Niels, et al.
Published: (2025)

On Convergents of Proper Continued Fractions
by: Langeveld, Niels, et al.
Published: (2024)

Weighted Birkhoff averages: Deterministic and probabilistic perspectives
by: Tong, Zhicheng, et al.
Published: (2025)

Pisot Substitution Conjecture and Rauzy Fractals
by: Nakaishi, Kentaro
Published: (2024)

Equidistribution of cusp points of Hecke triangle groups
by: Breitkopf, Laura, et al.
Published: (2024)

Decomposition results for multiplicative actions and applications
by: Frantzikinakis, Nikos
Published: (2025)

Generalized law of iterated logarithm for the Lorentz gas with infinite horizon
by: Bálint, Péter, et al.
Published: (2024)

On some classification problems of multiplicative functions
by: Kasjan, S., et al.
Published: (2025)

Proofs of ergodicity of piecewise Möbius interval maps using planar extensions
by: Calta, Kariane, et al.
Published: (2022)

Unveiling universality, encloseness, and orthogonality in dynamics
by: Aaronson, J., et al.
Published: (2026)