17 citations · 42 across the 7 of their papers we have counts for
7 papers
Quenched limit theorems for random U(1) extensions of expanding maps
Yong Moo Chung, Yushi Nakano, Jens Wittsten
The Lyapunov spectra of random U(1) extensions of expanding maps on the torus were investigated in our previous work [NW2015]. Using the result, we extend the recent spectral appro…
Large Deviation Principle for -unimodal maps with flat critical point
Yong Moo Chung, Hiroki Takahasi
We study a topologically exact, negative Schwarzian unimodal map whose critical point is non-recurrent and flat. Assuming the critical order is either logarithmic or polynomial, we…
Large deviation principle in one-dimensional dynamics
Yong Moo Chung, Juan Rivera-Letelier, Hiroki Takahasi
We study the dynamics of smooth interval maps with non-flat critical points. For every such a map that is topologically exact, we establish the full (level-2) Large Deviation Princ…
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…
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…
Birkhoff spectra for one-dimensional maps with some hyperbolicity
Yong Moo Chung
We study the multifractal analysis for smooth dynamical systems in dimension one. It is characterized the Hausdorff dimension of the level set obtained from the Birkhoff averages o…