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math.DS2010
Prevalent dynamics at the first bifurcation of Henon-like families
Hiroki Takahasi
We study the dynamics of strongly dissipative Hénon-like maps, around the first bifurcation parameter at which the uniform hyperbolicity is destroyed by the formation of tang…
math.DS2010
Statistical properties of nonuniformly expanding 1d maps with logarithmic singularities
Hiroki Takahasi
For a certain parametrized family of maps on the circle, with critical points and logarithmic singularities where derivatives blow up to infinity, a positive measure set of paramet…