Periodic points of holomorphic maps
نویسندگان
چکیده
منابع مشابه
Fixed Points and Periodic Points of Semiflows of Holomorphic Maps
Let φ be a semiflow of holomorphic maps of a bounded domain D in a complex Banach space. The general question arises under which conditions the existence of a periodic orbit of φ implies that φ itself is periodic. An answer is provided, in the first part of this paper, in the case in which D is the open unit ball of a J∗-algebra and φ acts isometrically. More precise results are provided when t...
متن کاملFixed Point Indices and Periodic Points of Holomorphic Mappings
Let ∆ be the ball |x| < 1 in the complex vector space C, let f : ∆ → C be a holomorphic mapping and let M be a positive integer. Assume that the origin 0 = (0, . . . , 0) is an isolated fixed point of both f and the M -th iteration f of f . Then for each factor m of M, the origin is again an isolated fixed point of f and the fixed point index μfm(0) of f m at the origin is well defined, and so ...
متن کاملFixed Points of Commuting Holomorphic Maps without Boundary Regularity
We identify a class of domains of C in which any two commuting holomorphic self-maps have a common fixed point.
متن کاملPeriodic Points of Latitudinal Sphere Maps
For the maps of the two-dimensional sphere into itself that preserve the latitude foliation and are differentiable at the poles, lower estimates of the number of fixed points for the maps and their iterates are obtained. Those estimates also show that the growth rate of the number of fixed points of the iterates is larger than or equal to the logarithm of the absolute value of the degree of the...
متن کاملThe Galois Theory of Periodic Points of Polynomial Maps
0. Introduction There is a growing body of evidence that problems associated with iterated maps can yield interesting insights in number theory and algebra. There are the papers of Narkiewicz [19-22], Lewis [14], Liardet [15], and more recently, Silverman [27], dealing with the diophantine aspects of iterated maps, as well as the papers of Odoni [24,25], Stoll [30], Vivaldi and Hatjispyros [34]...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Topology
سال: 1986
ISSN: 0040-9383
DOI: 10.1016/0040-9383(86)90022-4