arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1612.08643math.DS
收藏

复指数函数的牛顿映射与抛物线运算

Newton maps of complex exponential functions and parabolic surgery

Khudoyor Mamayusupov

摘要:

本文介绍了复指数函数的牛顿映射和海辛斯基提出的一种外科手术工具。引入了复指数函数的“后临界极小”牛顿映射的概念,类似于多项式的后临界有限牛顿映射。构造了多项式的后临界有限Newton映射空间与复指数函数的后临界极小Newton映射空间之间的动力学保持映射.

英文摘要:

The paper deals with Newton maps of complex exponential functions and a surgery tool developed by P. Haïssinsky. The concept of "Postcritically minimal" Newton maps of complex exponential functions are introduced, analogous to postcritically finite Newton maps of polynomials. The dynamics preserving mapping is constructed between the space of postcritically finite Newton maps of polynomials and the space of postcritically minimal Newton maps of complex exponential functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑