12 citations · 54 across the 37 of their papers we have counts for
37 papers
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…
Dynamics of isolated orders
Shigenori Matsumoto
We study some properties of the dynamical realization of isolated left orders of a countable group G. We show that the dynamical realization admits a unique minimal set provided G…
Invariable generation of certain groups of piecewise linear homeomorphisms of the interval
Yoshifumi Matsuda, Shigenori Matsumoto
We show that certain groups of piecewise linear homeomorphims of the interval are invariably generated.
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…