28 citations · 166 across the 25 of their papers we have counts for
5 papers · 1 filter
On stochastic stability of expanding circle maps with neutral fixed points
Weixiao Shen, Sebastian van Strien
It is well-known that the Manneville-Pomeau map with a parabolic fixed point of the form is stochastically stable for and the limiting measure…
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…
Analytic skew products of quadratic polynomials over circle expanding maps
Wen Huang, Weixiao Shen
We prove that a Viana map with an arbitrarily non-constant real analytic coupling function admits two positive Lyapunov exponents almost everywhere.
Analytic skew-products of quadratic polynomials over Misiurewicz-Thurston maps
Rui Gao, Weixiao Shen
We consider skew-products of quadratic maps over certain Misiurewicz-Thurston maps and study their statistical properties. We prove that, when the coupling function is a polynomial…
The topological complexity of Cantor attractors for unimodal interval maps
Simin Li, Weixiao Shen
For a non-flat unimodal map with a Cantor attractor, we show that for any open cover of this attractor, the complexity function is of order $n…