12 citations · 54 across the 37 of their papers we have counts for
26 papers · 1 filter
An example of planar Anosov diffeomorphisms without fixed points
Shigenori Matsumoto
We construct an example of planar Anosov diffeomorphisms without fixed points which is not topologically conjugate to a translation.
Isolated circular orders of PSL(2,Z)
Shigenori Matsumoto
We give a bijection between the isolated circular orders of the group G=PSL(2,Z) and the equivalence classes of Markov systems associated with G. As applications, we present exampl…
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.