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The asymptotic behavior of Green's functions for degenerating hyperbolic surfaces.

Lizhen Ji — 1993

Mathematische Zeitschrift

Correction and supplements to “Scattering matrices and scattering geodesics of locally symmetric spaces”

Lizhen Ji; Maciej Zworski — 2002

Annales scientifiques de l'École Normale Supérieure

Scattering matrices and scattering geodesics of locally symmetric spaces

Lizhen Ji; Maciej Zworski — 2001

Annales scientifiques de l'École Normale Supérieure

Geometry of compactifications of locally symmetric spaces

Lizhen Ji; Robert Macpherson — 2002

Annales de l’institut Fourier

For a locally symmetric space $M$ , we define a compactification $M \cup M (\infty)$ which we call the “geodesic compactification”. It is constructed by adding limit points in $M (\infty)$ to certain geodesics in $M$ . The geodesic compactification arises in other contexts. Two general constructions of Gromov for an ideal boundary of a Riemannian manifold give $M (\infty)$ for locally symmetric spaces. Moreover, $M (\infty)$ has a natural group theoretic construction using the Tits building. The geodesic compactification plays two fundamental roles in...

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