On convergence rates in the Birkhoff ergodic theorem

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Large deviations and rates of convergence in the Birkhoff ergodic theorem: from Hölder continuity to continuity
On the deviation of ergodic averages for horocycle flows
Ruelle operators and decay of correlations for contact Anosov flows
Interrelation between the convergence rates in von Neumann's and Birkhoff's ergodic theorems
From rates of mixing to recurrence times via large deviations
Horocycle flow on geometrically finite surfaces
Rigidity of time changes for horocycle flows
Deviation of ergodic averages for rational polygonal billiards
A strong pair correlation bound implies the CLT for Sinai billiards
Zeros of integrals along trajectories of ergodic systems
Markov approximations and decay of correlations for Anosov flows
On decay of correlations in Anosov flows
The speed of convergence in the ergodic theorem
On a problem of Poincaré
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$\omega$-limit sets of smooth cylindrical cascades
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Decrease rate of the probabilities of $\varepsilon$-deviations for the means of stationary processes
Polymorphisms, joinings, and the tensor simplicity of dynamical systems
Laws of large numbers with rates and the one-sided ergodic Hilbert transform
Invariant distributions and time averages for horocycle flows
Deviation of ergodic averages for area-preserving flows on surfaces of higher genus
On contact Anosov flows
On weakly mixing homeomorphisms of the two-torus that are uniformly rigid
Constants in the estimates of the convergence rate in the Birkhoff ergodic theorem with continuous time
On possible estimates of the rate of pointwise convergence in the Birkhoff ergodic theorem
Exponent of convergence of a sequence of ergodic averages
Large deviations for dynamical systems with stretched exponential decay of correlations
Lower bound for the supremum of ergodic averages for $\mathbb{Z}^d$ and $\mathbb{R}^d$-actions
Large deviations of Birkhoff's sums via the approximation of observables
Measuring the rate of convergence in the Birkhoff ergodic theorem
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On the constants in the estimates of the rate of convergence in the Birkhoff ergodic theorem
Large deviations and the rate of convergence in the Birkhoff ergodic theorem
Limit theorems for translation flows
Advanced statistical properties of dispersing billiards
A sharp estimate for the rate of convergence in mean of Birkhoff sums for some classes of periodic differentiable functions
The ergodic theorem.
Quantitative multiple pointwise convergence and effective multiple correlations
Speed of convergence of Weyl sums over Kronecker sequences
On the Birkhoff theorem with respect to a non-invariant measure
On the rate of convergence in the individual ergodic theorem for the action of a semigroup
Estimates of the rate of convergence in the von Neumann and Birkhoff ergodic theorems
POINTWISE ERGODIC THEOREMS WITH RATE WITH APPLICATIONS TO LIMIT THEOREMS FOR STATIONARY PROCESSES
Khintchine's singular Diophantine systems and their applications
On the mean ergodic theorem for subsequences
On recurrence
Decay of correlations for invertible maps with non-Hölder observables
Large deviations for nonuniformly hyperbolic systems
Large and moderate deviations for slowly mixing dynamical systems
Linear Functionals Invariant Under Measure Preserving Transformations
The filling scheme and the ergodic theorems of Kesten and Tanny
CONDITIONS FOR UNIFORM POISSON STABILITY OF CYLINDRICAL SYSTEMS
Subadditive mean ergodic theorems
On the Dependence of the Convergence Rate in the Strong Law of Large Numbers for Stationary Processes on the Rate of Decay of the Correlation Function
Remarks on the remainder in Birkhoff's ergodic theorem
Recurrence of Co-Cycles and Random Walks
Prevalence of rapid mixing in hyperbolic flows
The rate of convergence in ergodic theorems
A zero-one law for stationary sequences
On fast Birkhoff averaging
Large deviations for generic stationary processes
Prevalence of rapid mixing—II: topological prevalence
Anosov diffeomorphisms and coupling
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Super convergence of ergodic averages for quasiperiodic orbits
Joint coboundaries
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Concentration inequalities and rates of convergence of the ergodic theorem for countable shifts with Gibbs measures
Non-uniform Kozlov–Treschev averagings in the ergodic theorem
Fast and slow points of Birkhoff sums
Precise asymptotics on the Birkhoff sums for dynamical systems
Uniform convergence rate for Birkhoff means of certain uniquely ergodic toral maps
Large Deviations of the Ergodic Averages: From Hölder Continuity to Continuity Almost Everywhere
Large deviations in non-uniformly hyperbolic dynamical systems
Fractional Poisson equations and ergodic theorems for fractional coboundaries
Maximal large deviations and slow recurrences in weakly chaotic systems
Distinguishing between regular and chaotic orbits of flows by the weighted Birkhoff average
Slow convergences of ergodic averages
Summability and speed of convergence in an ergodic theorem
Behaviour of Birkhoff sums generated by rotations of the circle
Exponential convergence of the weighted Birkhoff average

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