Cover Image

Almost sure limit theorems with applications to non-regular continued fraction algorithms

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Bonanno, Claudio, Schindler, Tanja I.
Format:	Preprint
Published:	2023
Subjects:	Dynamical Systems Number Theory 37A40, 37A25, 60F15, 11K50
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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

Limit Theorems for a class of unbounded observables with an application to "Sampling the Lindelöf hypothesis"
by: Fernando, Kasun, et al.
Published: (2023)

Equidistribution of continued fraction convergents in $\mathrm{SL}(2,\mathbb{Z}_m)$ with an application to local discrepancy
by: Borda, Bence
Published: (2023)

First return systems for some continued fraction maps
by: Schmidt, Thomas A.
Published: (2025)

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

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

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

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

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

On the distribution of Sudler products and Birkhoff sums for the irrational rotation
by: Borda, Bence
Published: (2021)

Uniform distribution mod $1$ for sequences of ergodic sums and continued fractions
by: Fisher, Albert M., et al.
Published: (2023)

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

Non-uniqueness of stationary measures for stochastic systems with almost surely invariant manifolds
by: Bedrossian, Jacob, et al.
Published: (2025)

Almost sure approximations and laws of iterated logarithm for signatures
by: Kifer, Yuri
Published: (2023)

Flexibility versus genericity of phase diagrams of perturbed continuous maps on the Cantor set
by: Marsan, Hugo, et al.
Published: (2025)

Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations
by: Kryspin, Marek, et al.
Published: (2023)

Superoptimal continued fractions
by: Sanderson, Slade
Published: (2025)

Enriched functional limit theorems for dynamical systems
by: Freitas, Ana Cristina Moreira, et al.
Published: (2020)

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

Trimmed strong laws and distributional limits for exponentially mixing systems
by: Auer, Max, et al.
Published: (2026)

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

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

A functional limit theorem for a dynamical system with an observable maximised on a Cantor set
by: Couto, Raquel, et al.
Published: (2025)

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

Effective equidistribution of translates of tori in arithmetic homogeneous spaces and applications
by: Sarkar, Pratyush
Published: (2025)

Cellular automata, percolation and dynamical dichotomies
by: Barbieri, Sebastián, et al.
Published: (2024)

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

Inhomogeneous Khitchine-Groshev type theorems on manifolds over function fields
by: Das, Sourav, et al.
Published: (2022)

Extreme value theorem for geodesic flow on the quotient of the theta group
by: Kim, Jaelin, et al.
Published: (2026)

Decay of Correlations via induced Weak Gibbs Markov maps for non-Hölder observables
by: Ullah, Asad, 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)

A generalization of van der Corput's Difference Theorem
by: Farhangi, Sohail
Published: (2021)

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

Stability and limit theorems in random dynamical systems
by: Lima, Davi, et al.
Published: (2026)

Improved estimates of statistical properties in some non-uniformly hyperbolic dynamical systems
by: Bálint, Péter, et al.
Published: (2025)

Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation
by: Aggarwal, Gaurav, et al.
Published: (2024)

Oscillating and nonsummable Radon-Nikodym cocycles along the forward geodesic of measure-class-preserving transformations
by: Bell, Sasha, et al.
Published: (2024)

Orders of Oscillation Motivated by Sarnak's Conjecture--Part II
by: Jiang, Yunping
Published: (2022)

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