共查询到10条相似文献，搜索用时 15 毫秒
1.
Alexander M. Blokh John C. Mayer Lex G. Oversteegen 《Proceedings of the American Mathematical Society》1999,127(4):1215-1220
We consider a rational map of the Riemann sphere with normalized Lebesgue measure and show that if there is a subset of the Julia set of positive -measure whose points have limit sets not contained in the union of the limit sets of recurrent critical points, then for -a.e. point and is conservative, ergodic and exact.
2.
Let be a quadratic rational map of the sphere which has two fixed Siegel disks with bounded type rotation numbers and . Using a new degree Blaschke product model for the dynamics of and an adaptation of complex a priori bounds for renormalization of critical circle maps, we prove that can be realized as the mating of two Siegel quadratic polynomials with the corresponding rotation numbers and .
3.
Clinton P. Curry John C. Mayer E. D. Tymchatyn 《Proceedings of the American Mathematical Society》2008,136(11):4045-4055
We show that a plane continuum is indecomposable iff has a sequence of not necessarily distinct complementary domains satisfying the double-pass condition: for any sequence of open arcs, with and , there is a sequence of shadows , where each is a shadow of , such that . Such an open arc divides into disjoint subdomains and , and a shadow (of ) is one of the sets .
4.
《Journal of Pure and Applied Algebra》2023,227(3):107215
If a K3 surface admits an automorphism with a Siegel disk, then its Picard number is an even integer between 0 and 18. Conversely, using the method of hypergeometric groups, we are able to construct K3 surface automorphisms with Siegel disks that realize all possible Picard numbers. The constructions involve extensive computer searches for appropriate Salem numbers and computations of algebraic numbers arising from holomorphic Lefschetz-type fixed point formulas and related Grothendieck residues. 相似文献
5.
Yunping Jiang 《Transactions of the American Mathematical Society》2000,352(11):5077-5091
We prove that the Julia set of a quadratic polynomial which admits an infinite sequence of unbranched, simple renormalizations with complex bounds is locally connected. The method in this study is three-dimensional puzzles.
6.
7.
给出了复函数的高阶微分中值公式,并利用Stirling数这个工具获得了该公式"中值点"的渐近性. 相似文献
8.
给出了复函数的高阶微分中值公式,并利用Stirling数这个工具获得了该公式“中值点”的渐近性. 相似文献
9.
On the homotopy fixed point problem for free loop spaces and other function complexes 总被引：1，自引：0，他引：1
Gunnar Carlsson 《K-Theory》1991,4(4):339-361
Let G be a finite group, let X and Y be finite G-complexes, and suppose that for each K
G, Y
K is dim(X
K)-connected and simple. G acts on the function complex F(X, Y) by conjugation of maps. We give a complete analysis of the homotopy fixed point set of the space
F(X, Y). As a corollary, we are able to analyze at a prime p, the homotopy fixed point set of the circle action on X, where X denotes the free loop space of X, and X is a simply connected finite complex.Supported in part by NSF DMS 86-02430.To A. Grothendieck on the occasion of his sixtieth birthday 相似文献
10.
§ 1.Ｉｎｔｒｏｄｕｃｔｉｏｎ Ａｌｏｎｇｗｉｔｈｔｈｅｄｅｖｅｌｏｐｍｅｎｔｏｆｎｏｎｌｉｎｅａｒｄｙｎａｍｉｃａｌｓｙｓｔｅｍｓ,ｏｎｅｈａｓｐａｉｄａｔｔｅｎｔｉｏｎｔｏｎｏｔｏｎｌｙｔｈｅｌｏｎｇ ｔｉｍｅｂｅｈａｖｉｏｕｒｏｆａｍｏｖｅｍｅｎｔｂｕｔａｌｓｏｉｔｓｐｒｏｃｅｓｓ,ｗｈｉｃｈｔｏｕｃｈｅｓｕｐｏｎｔｈｅｐｒｏｂｌｅｍｏｆｔｈｅｉｎｖｅｒｓｅｏｐｅｒａｔｉｏｎｏｆａｎｉｔｅｒａｔｉｖｅｏｐｅｒａｔｉｏｎ .Ｂｙｉｔｅｒａｔｉｖｅｆｕｎｃｔｉｏｎａｌｅｑｕａｔｉｏｎｓｗｅｍｅａｎｔ… 相似文献