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math.GR2014★ 86 cited
A Morse Lemma for quasigeodesics in symmetric spaces and euclidean buildings
Michael Kapovich, Bernhard Leeb, Joan Porti
We prove a Morse Lemma for coarsely regular quasigeodesics in nonpositively curved symmetric spaces and euclidean buildings X. The main application is a simpler coarse geometric ch…
math.GR2014★ 49 cited
Morse actions of discrete groups on symmetric space
Michael Kapovich, Bernhard Leeb, Joan Porti
We study the geometry and dynamics of discrete infinite covolume subgroups of higher rank semisimple Lie groups. We introduce and prove the equivalence of several conditions, captu…