28 citations · 146 across the 36 of their papers we have counts for
5 papers · 2 filters
On Poincare series of unicritical polynomials at the critical point
Juan Rivera-Letelier, Weixiao Shen
In this paper, we show that for a unicritical polynomial having a priori bounds, the unique conformal measure of minimal exponent has no atom at the critical point. For a conformal…
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…
On the asymptotic expansion of maps with disconnected Julia set
Juan Rivera-Letelier
We study the asymptotic expansion of smooth one-dimensional maps. We give an example of an interval map for which the optimal shrinking of components exponential rate is not attain…
Low-temperature phase transitions in the quadratic family
Daniel Coronel, Juan Rivera-Letelier
We give the first example of a quadratic map having a phase transition after the first zero of the geometric pressure function. This implies that several dimension spectra and larg…
Asymptotic expansion of smooth interval maps
Juan Rivera-Letelier
We associate to each non-degenerate smooth interval map a number measuring its global asymptotic expansion. We show that this number can be calculated in various different ways. A…