On small gaps in the length spectrum
DOI10.3934/jmd.2016.10.339zbMath1366.37047arXiv1602.04532OpenAlexW2282118389MaRDI QIDQ317001
Dmitry Dolgopyat, Dmitry Jakobson
Publication date: 30 September 2016
Published in: Journal of Modern Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.04532
Geodesics in global differential geometry (53C22) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Distribution of periods of closed trajectories in exponentially shrinking intervals
- Instability of nondiscrete free subgroups in Lie groups
- Resonances for axiom A flows
- Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
- A characterization of arithmetic Fuchsian groups
- The ergodic theory of axiom A flows
- Arithmeticity of nonuniform lattices in weakly noncompact groups
- The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
- Spectra of elements in the group ring of SU(2)
- Number variance for arithmetic hyperbolic surfaces
- Bounded orbits of Anosov flows
- Remez-type inequality for discrete sets
- \(C^ \infty\) genericity of positive topological entropy for geodesic flows on \(S^ 2\).
- When is a geodesic flow of Anosov type, I
- Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
- Zariski-dense subgroups and transcendental number theory
- A note on curvature and fundamental group
- Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
- Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups
- Diophantine property in the group of affine transformations of the li
- Diophantine properties of nilpotent Lie groups
- The Length Spectrum of a Riemann Surface is Always of Unbounded Multiplicity
- ARITHMETIC PROPERTIES OF DISCRETE SUBGROUPS
- A Lower Bound for the Remainder in Weyl's Law on Negatively Curved Surfaces
- GIBBS MEASURES IN ERGODIC THEORY
- Equilibrium states and the ergodic theory of Anosov diffeomorphisms
- Diophantine properties of elements of \(SO(3)\)
This page was built for publication: On small gaps in the length spectrum