12 citations · 54 across the 37 of their papers we have counts for
7 papers · 1 filter
Horocycle flows without minimal sets
Shigenori Matsumoto
We show that the horocycle flows of open tight hyperbolic surfaces do not admit minimal sets.
Weak form of equidistribution theorem for harmonic measures of foliations by hyperbolic surfaces
Shigenori Matsumoto
We show that the equidistribution theorem of C. Bonatti and X. Gómez-Mont for a special kind of foliations by hyperbolic surfaces does not hold in general, and seek for a weaker fo…
Remarks on the horocycle flows for foliations by hyperbolic surfaces
Shigenori Matsumoto
We show that the horocycle flow associated with a foliation on a compact manifold by hyperbolic surfaces is minimal under certain conditions.
Kinematic expansive suspensions of irrational rotations on the circle
Shigenori Matsumoto
We shall show that the rotation of some irrational rotation number on the circle admits suspensions which are kinematic expansive.
Basic partitions and combinations of group actions on the circle: A new approach to a theorem of Kathryn Mann
Shigenori Matsumoto
Let be the surface group of genus (), and denote by $\RR_{Π_g}$ the space of the homomorphisms from into the group of the orientation preserving homeomorphi…
Actions of groups of diffeomorphisms on one-manifolds by diffeomorphisms
Shigenori Matsumoto
Denote by $\DC(M)_0$ the identity component of the group of the compactly supported diffeomorphisms of a connected manifold . We show that if and…