28 citations · 132 across the 43 of their papers we have counts for
4 papers · 1 filter
Multifractal formalism for Benedicks-Carleson quadratic maps
Yong Moo Chung, Hiroki Takahasi
For a positive measure set of nonuniformly expanding quadratic maps on the interval we effect a multifractal formalism, i.e., decompose the phase space into level sets of time aver…
Equilibrium measures for the Hénon map at the first bifurcation
Samuel Senti, Hiroki Takahasi
We study the dynamics of strongly dissipative Hénon maps, at the first bifurcation parameter where the uniform hyperbolicity is destroyed by the formation of tangencies inside the…
Nonuniformly expanding 1d maps with logarithmic singularities
Hiroki Takahasi, Qiudong Wang
For a certain parametrized family of maps on the circle with critical points and logarithmic singularities where derivatives blow up to infinity, we construct a positive measure se…
Large deviation principle for Benedicks-Carleson quadratic maps
Yong Moo Chung, Hiroki Takahasi
Since the pioneering works of Jakobson and Benedicks & Carleson and others, it has been known that a positive measure set of quadratic maps admit invariant probability measures abs…