AbstractTheorem 1.4 of the article in question—its main result—is a prime orbit theorem for the geodesic flow of asymptotically hyperbolic manifolds with negative sectional curvatures. We correct a typo and supply a missing technical assumption to make the result and its proof correct. We also supply a remainder term required in the dynamical wave trace formula given in Theorem 1.1, relating the length spectrum to the regularized trace of the wave group. This correction does not affect the main terms in the trace formula nor its application by Borthwick and Perry (2011)
We correct an error in the proof of the main result in [R.M. Colombo and E. Rossi, Commun. Math. Sci...
There is a small gap in the proof of Theorem 4.5 of the mentioned paper. Here the authors give the c...
This thesis consists of four chapters, each with its own notation and references. Chapters 1, 2 and ...
Abstract Theorem 1.4 of the article in question—its main result—is a prime orbit theorem for the geo...
This thesis consists of three chapters and an appendix each with its own notation and references. ...
AbstractWe show that the wave group on asymptotically hyperbolic manifolds belongs to an appropriate...
Periodic geodesics on the modular surface correspond to periodic orbits of the geodesic flow in its ...
The work of E. Hopf and G.A. Hedlund, in the 1930s, on transitivity and ergodicity of the geodesic f...
this paper we shall consider error terms in estimates for the number of closed orbits for a large cl...
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local ...
Asymptotically hyperbolic manifolds are natural objects to be considered in certain physical circums...
There are well-known analogs of the prime number theorem and Mertens' theorem for dynamical systems ...
Abstract. Taking the integrated Chebyshev-type counting function of the appropriate order, we improv...
In section 4.2 of Ref. [1], O(N)-invariant vector hyperbolic equations are derived from a frame bund...
The purpose of this thesis is to study the asymptotic property of the primitive length spectrum on c...
We correct an error in the proof of the main result in [R.M. Colombo and E. Rossi, Commun. Math. Sci...
There is a small gap in the proof of Theorem 4.5 of the mentioned paper. Here the authors give the c...
This thesis consists of four chapters, each with its own notation and references. Chapters 1, 2 and ...
Abstract Theorem 1.4 of the article in question—its main result—is a prime orbit theorem for the geo...
This thesis consists of three chapters and an appendix each with its own notation and references. ...
AbstractWe show that the wave group on asymptotically hyperbolic manifolds belongs to an appropriate...
Periodic geodesics on the modular surface correspond to periodic orbits of the geodesic flow in its ...
The work of E. Hopf and G.A. Hedlund, in the 1930s, on transitivity and ergodicity of the geodesic f...
this paper we shall consider error terms in estimates for the number of closed orbits for a large cl...
Asymptotic geometry is the study of metric spaces from a large scale point of view, where the local ...
Asymptotically hyperbolic manifolds are natural objects to be considered in certain physical circums...
There are well-known analogs of the prime number theorem and Mertens' theorem for dynamical systems ...
Abstract. Taking the integrated Chebyshev-type counting function of the appropriate order, we improv...
In section 4.2 of Ref. [1], O(N)-invariant vector hyperbolic equations are derived from a frame bund...
The purpose of this thesis is to study the asymptotic property of the primitive length spectrum on c...
We correct an error in the proof of the main result in [R.M. Colombo and E. Rossi, Commun. Math. Sci...
There is a small gap in the proof of Theorem 4.5 of the mentioned paper. Here the authors give the c...
This thesis consists of four chapters, each with its own notation and references. Chapters 1, 2 and ...