On Some Aspects of the Theory of Anosov Systems

G. Margulis: On Some Aspects of the Theory of Anosov Systems:

1. Some Preliminaries on Anosov Flows

2. Behaviour of Lebesgue Measures on Leaves of ~$\mathfrak{S}^{l+1}$ under the Action of Anosov Flows

3. Construction of Special Measures on Leaves of ~$\mathfrak{S}^{l+1}$, $\mathfrak{S}^{k+1}$, $\mathfrak{S}^l$ and ~$\mathfrak{S}^k$

4. Construction of a Special Measure on Wn and the properties of the flow {Tt} with this Measure

5. Ergodic Properties of.~$\mathfrak{S}^k$

6. Asymptotics of the Number of Periodic Trajectories

7. Some Asymptotical Properties of the Anosov Systems

Appendix. References.

R. Sharp: Periodic Orbits of Hyperbolic Flows:

0. Introduction

1. Definition and Results

2. Zeta Functions

3. Subshifts of Finite Type and Suspended Flows

4. Ruelle Transfer Operators

5. Extending Zeta Funktions

6. Meromorphic Extensions

7. Bounds on the Zeta Function and Exponential Error Terms

8. Polynomial Error Terms

9. Equidistribution Results

10. Finite Group Extensions

11. Counting with Homological Constraints

12. Lalley's Theorem

13. Lattice Point Counting

14. Manifolds of Non-Positive Curvature

Appendix A: Symbolic Dynamics

Appendix B: Livsic Theorems: Cohomology and Periodic Orbits.

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