Distribution of periods of closed trajectories in exponentially shrinking intervals
From MaRDI portal
Publication:411353
DOI10.1007/s00220-012-1419-xzbMath1263.37055arXiv1008.4308OpenAlexW2088086883MaRDI QIDQ411353
Vesselin Petkov, Latchezar Stoyanov
Publication date: 4 April 2012
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.4308
Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items
Effective equidistribution of circles in the limit sets of Kleinian groups ⋮ Correlations of length spectra for negatively curved manifolds ⋮ Fourier decay, renewal theorem and spectral gaps for random walks on split semisimple Lie groups ⋮ On small gaps in the length spectrum ⋮ Ruelle operators and decay of correlations for contact Anosov flows ⋮ Closed billiards trajectories with prescribed bounces ⋮ Sharp large deviations for some hyperbolic systems ⋮ Exponential gaps in the length spectrum ⋮ Regular decay of ball diameters and spectra of Ruelle operators for contact Anosov flows ⋮ Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Hölder foliations
- An extension of the theory of Fredholm determinants
- Renewal theorems in symbolic dynamics, with applications to geodesic flows, noneuclidean tessellations and their fractal limits
- Large deviations, fluctuations and shrinking intervals
- Decay of solutions of the wave equation in the exterior of several convex bodies
- On decay of correlations in Anosov flows
- The ergodic theory of axiom A flows
- Smoothness of horocycle foliations
- Applications of ergodic theory to the investigation of manifolds of negative curvature
- Markov partitions for Anosov flows on \(n\)-dimensional manifolds
- Error terms for closed orbits of hyperbolic flows
- Spectrum of the Ruelle operator and exponential decay of correlations for open billiard flows
- Non-integrability of open billiard flows and Dolgopyat-type estimates
- Spectra of Ruelle transfer operators for Axiom A flows
- Expanding maps on Cantor sets and analytic continuation of zeta functions
- Approximation by Brownian motion for Gibbs measures and flows under a function
- Correlations for pairs of periodic trajectories for open billiards
- A Measure Associated with Axiom-A Attractors
- Exponential error terms for growth functions on negatively curved surfaces
- Exponential instability for a class of dispersing billiards
- Rates of Recurrence for Z q and R q Extensions of Subshifts of Finite Type
- Regularity of the Anosov splitting and of horospheric foliations
- Symbolic Dynamics for Hyperbolic Flows
- Precise counting results for closed orbits of Anosov flows
- Asymptotic expansions for closed orbits in homology classes.
