Dynamical systems with a prescribed attracting set and applications to conservative dynamics

许多共存吸引子：几乎保守的Hénon映射的案例研究

Many coexisting attractors, a case study of the almost-conservative Hénon map

研究几乎保守的Hénon映射中大量周期吸引子的共存现象，通过参数调整获得50个吸引周期轨道，并将其分类为三个家族。

Distribution of postcritically finite polynomials

We prove that Misiurewicz parameters with prescribed combinatorics and hyperbolic parameters with (d - 1) distinct attracting cycles with given multipliers are equidistributed with respect to the bifurcation measure in the moduli space of degree d complex polynomials. Our proof relies on Yuan's equidistribution results of points of small heights, and uses in a crucial way Epstein's transversality results.

广义抛物动力学的熵

Entropy for Generalized Parabolic Dynamics

本文将广义熵扩展至一致空间，引入广义抛物动力学类，证明其重要子类具有线性熵，并构造了紧曲面同胚实例，使其广义熵实现预设的多项式增长且非游荡集简化为单点。