关于函数方程f（p（z））=g（q（z）），其中p，q是“广义”多项式，f，g是亚纯函数

亚纯多项式族中格林函数的连续性

Continuity of the Green function in meromorphic families of polynomials

证明了由穿孔单位圆盘参数化的亚纯多项式族的格林函数沿任意标记点在原点附近指数快速爆炸，且误差项连续.

Meromorphic first integrals of analytic diffeomorphisms

We give an upper bound for the number of functionally independent meromorphic first integrals that a discrete dynamical system generated by an analytic map $f$ can have in a neighborhood of one of its fixed points. This bound is obtained in terms of the resonances among the eigenvalues of the differential of $f$ at this point. Our approach is inspired on similar Poincaré type results for ordinary differential equations. We also apply our results to several examples, some of them motivated by the study of several difference equations.

有穷级亚纯函数的几何热力学形式与实解析性

Geometric Thermodynamical Formalism and Real Analyticity for Meromorphic Functions of Finite Order

利用选取良好的黎曼度量和Nevanlinna的理论，我们对一类广泛的有穷级双曲亚纯函数（特别包括指数函数族、椭圆函数、余弦函数族、正切函数族和余弦根函数族以及这些函数与任意多项式的组合）进行了数学形式化.特别地，建立了共形（Gibbs）测度的存在性，并证明了与共形测度等价的概率不变测度的存在性.作为发展的热力学形式主义的几何后果，一个版本的鲍文公式表示的豪斯多夫维数的径向朱利亚集的压力函数的零，而且，这个维度的真正的解析性，证明。

双曲面积方法在亚纯动力学与椭圆多项式斜积中的应用

Hyperbolic Area Methods in Meromorphic Dynamics and Elliptic Polynomial Skew Products

本文用双曲面积与覆盖几何统一证明并推广了无游荡定理，覆盖亚纯映射、整函数及椭圆多项式斜积，并给出高维局部与全局无游荡准则。

Dynamics of the meromorphic families $f_λ=λ\tan^p z^q$

This paper continues our investigation of the dynamics of families of transcendental meromorphic functions with finitely many singular values all of which are finite. Here we look at a generalization of the family of polynomials $P_a(z)=z^{d-1}(z- \frac{da}{(d-1)})$, the family $f_λ=λ\tan^p z^q$. These functions have a super-attractive fixed point, and, depending on $p$, one or two asymptotic values. Although many of the dynamical properties generalize, the existence of an essential singularity and of poles of multiplicity greater than one implies that significantly different techniques are re…

无数论的光滑Siegel圆：对Buff和Cheritat的一个证明的注记

Smooth Siegel disks without number theory: A remark on a proof by Buff and Cheritat

X. Buff和A. Cheritat证明，有二次多项式有西格尔磁盘与光滑的边界。基于A.阿维拉，我们给他们的证明又一个简化。所使用的主要工具是一个调和函数介绍的Yoccoz的边界值的大小的西格尔磁盘。该证明也适用于多项式、整函数和亚纯函数的其它一些族。