5 citations · 8 across the 3 of their papers we have counts for
7 papers
Topological invariance of the Collet-Eckmann condition for one-dimensional maps
Huaibin Li
This paper is devoted to study the topological invariance of several non-uniform hyperbolicity conditions of one-dimensional maps. In contrast with the case of maps with only one c…
Interval maps quasi-symmetrically conjugated to a piecewise affine map
Huaibin Li
Consider a multimodal interval map of with non-flat critical points. We establish several characterizations of the map is quasi-symmetrically conjugated to a piecewis…
Large deviation principles of one-dimensional maps for Hölder continuous potentials
Huaibin Li
We show some level-2 large deviation principles for real and complex one-dimensional maps satisfying a weak form of hyperbolicity. More precisely, we prove a large deviation princi…
Equivalent characterizations of hyperbolic Hölder potential for interval maps
Huaibin Li
Consider a topologically exact interval map without non-flat critical points. Following the works we did in \cite{LiRiv12two}, we give two equivalent characterizations of hyp…
Equilibrium states of interval maps for hyperbolic potentials
Huaibin Li, Juan Rivera-Letelier
We study the thermodynamic formalism of sufficiently regular interval maps for Holder continuous potentials. We show that for a hyperbolic potential there is a unique equilibrium s…
Equilibrium states of weakly hyperbolic one-dimensional maps for Holder potentials
Huaibin Li, Juan Rivera-Letelier
There is a wealth of results in the literature on the thermodynamic formalism for potentials that are, in some sense, "hyperbolic". We show that for a sufficiently regular one-dime…