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math.DS2026
Stochastic stability for weakly hyperbolic contracting Lorenz maps
Haoyang Ji
In this article we study the expanding properties of random perturbations of contracting Lorenz maps satisfying the summability condition of exponent 1. Under general conditions on…
math.DS2025
Lyapunov Exponent and Stochastic Stability for Infinitely Renormalizable Lorenz Maps
Haoyang Ji, Qihan Wang
We prove that infinitely renormalizable contracting Lorenz maps with bounded geometry or the so-called {\it a priori bounds} satisfies the slow recurrence condition to the singular…
math.DS2024
Decay of geometry for a class of cubic polynomials
Haoyang Ji, Wenxiu Ma
In this paper we study a class of bimodal cubic polynomials for which its critical points have the same -limit set which is an invariant Cantor set. These maps have generalized…