86 citations · 543 across the 59 of their papers we have counts for
62 papers
Equidistribution of currents under Anosov group actions
Nguyen-Bac Dang, Michael Kapovich, Mikhail Lyubich +1
We study the behavior of currents on flag-manifolds under actions of Anosov subgroups of complex semisimple Lie groups G. Given a current T of bidimension (k, k) on the full flag-m…
Morse actions of discrete groups on symmetric spaces: Local-to-global principle
Michael Kapovich, Bernhard Leeb, Joan Porti
Our main result is a local-to-global principle for Morse quasigeodesics, maps and actions. As an application of our techniques we show algorithmic recognizability of Morse actions…
A note on properly discontinuous actions
Michael Kapovich
We compare various notions of proper discontinuity for group actions. We also discuss fundamental domains and criteria for cocompactness.
Domains of discontinuity of Lorentzian affine group actions
Michael Kapovich, Bernhard Leeb
We prove nonemptyness of domains of proper discontinuity of Anosov groups of affine Lorentzian transformations.
Klein-Maskit combination theorem for Anosov subgroups: Amalgams
Subhadip Dey, Michael Kapovich
The classical Klein-Maskit combination theorems provide sufficient conditions to construct new Kleinian groups using old ones. There are two distinct but closely related combinatio…
Effective bounds for Vinberg's algorithm for arithmetic hyperbolic lattices
Mikhail Belolipetsky, Michael Kapovich
A group of isometries of a hyperbolic -space is called a reflection group if it is generated by reflections in hyperbolic hyperplanes. Vinberg gave a semi-algorithm for finding…