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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Coexistence of nonempty Fatou sets and Julia sets with interior for transcendental Hénon maps
超Hénon映射 非空Fatou集 Julia集 内部共存性
2023/11/29
A Hénon map is a map of the form H(z, w) = (f(z) + aw, z). A main focus of interest are the Fatou sets and the Julia sets. In this lecture I will show that it is possible that the Fatou set and the Ju...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the Gauss maps of complete minimal surfaces in Rm
Rm 完全极小曲面 高斯映射
2023/12/11
We prove that if the Gauss map of a minimal surface immersed in Rm omits a generic hypersurface of large enough degree, then it must be constant.
Energy of Harmonic Maps and Gardiner’s Formula
Harmonic maps Teichmuller space measured foliation
2015/12/17
It is shown that the usual first variational formula for the energy of a harmonic map (or equivariant harmonic map) with respect to the conformal structure on a two dimensional domain extends to case ...
We construct a hyperbolic group with a hyperbolic subgroup for which inclusion does not induce a map of the boundaries.
Pathwise Stationar y Solutions and Random Per iodic Solutions of Random Dynamical Systems (SPDEs, Random Maps)
Pathwise Stationar y Solutions Random Per
2015/4/3
here are two fundamental concepts in deter ministic dynamical systems: fixed
point (equilibr ium point) and per iodic solutions. For stochastic dynamical systems, they correspond to fundamental ideas...
Mutation-Periodic Quivers, Integrable Maps and Associated Poisson Algebras
Integrable Maps Associated Poisson Algebras
2010/4/2
We consider a class of map, recently derived in the context of cluster mutation. In this paper we start with a brief review of the quiver context, but then move onto a discussion of a related Poisson ...
A NOTE ON WEAKLY ISOTONE MAPS AND COMMON SOLUTIONS FOR DIFFERENTIAL SYSTEMS
Weakly isotone maps Differential equations Common solutions
2007/12/12
In this short note we examine the connection between weakly isotone maps and common solutions for first order Cauchy problems in ${\Bbb R}^n$ and, as a rule, in Banach lattices.