223 citations · 2k across the 61 of their papers we have counts for
9 papers · 1 filter
Dichotomy and measures on limit sets of Anosov groups
Minju Lee, Hee Oh
Let be a connected semisimple real algebraic group. For any Zariski dense Anosov subgroup , we show that a -conformal measure is supported on the limit set of if an…
Uniqueness of conformal measures and local mixing for Anosov groups
Sam Edwards, Minju Lee, Hee Oh
In the late seventies, Sullivan showed that for a convex cocompact subgroup of with critical exponent , any -conformal measure on $\parti…
Horospherical invariant measures and a rank dichotomy for Anosov groups
Or Landesberg, Minju Lee, Elon Lindenstrauss +1
Let be a product of simple real algebraic groups of rank one and an Anosov subgroup of with respect to a minimal parabolic subgroup. For each in…
The Hopf-Tsuji-Sullivan dichotomy in higher rank and applications to Anosov subgroups
Marc Burger, Or Landesberg, Minju Lee +1
We establish an extension of the Hopf-Tsuji-Sullivan dichotomy to any Zariski dense discrete subgroup of a semisimple real algebraic group . We then apply this dichotomy to Anos…
Ergodic decompositions of geometric measures on Anosov homogeneous spaces
Minju Lee, Hee Oh
Let be a connected semisimple real algebraic group and a Zariski dense Anosov subgroup of with respect to a minimal parabolic subgroup . Let be the maximal horos…
Invariant measures for horospherical actions and Anosov groups
Minju Lee, Hee Oh
Let be a Zariski dense Anosov subgroup of a connected semisimple real algebraic group . For a maximal horospherical subgroup of , we show that the space of all non-tr…
Anosov groups: local mixing, counting, and equidistribution
Sam Edwards, Minju Lee, Hee Oh
Let be a connected semisimple real algebraic group, and be a Zariski dense Anosov subgroup with respect to a minimal parabolic subgroup. We describe the asymptotic behavi…
Topological proof of Benoist-Quint's orbit closure theorem for SO(d,1)
Minju Lee, Hee Oh
We present a new proof of the following theorem of Benoist-Quint: Let , and a cocompact lattice. Any orbit of a Zariski dense subgroup of i…
Orbit closures of unipotent flows for hyperbolic manifolds with Fuchsian ends
Minju Lee, Hee Oh
We establish an analogue of Ratner's orbit closure theorem for any connected closed subgroup generated by unipotent elements in acting on the space $Γ\back…