Inert actions on periodic points
نویسندگان
چکیده
منابع مشابه
Inert Actions on Periodic Points
The action of inert automorphisms on finite sets of periodic points of mixing subshifts of finite type is characterized in terms of the sign-gyrationcompatibility condition. The main technique used is variable length coding combined with a “nonnegative algebraic K-theory” formulation of state splitting and merging. One application gives a counterexample to the Finite Order Generation Conjecture...
متن کاملPeriodic points for actions of tori in Stein manifolds
In one complex variable dynamics, Sullivan’s theorem ([6]) gives a complete classification of the Fatou components that can appear for a rational map f . Consequently we can have only periodic components U and U can be one of the following: 1. U attracting basin; 2. U parabolic domain; 3. U Siegel disk; 4. U Herman ring. Cases 3. and 4. are called rotation domains. In these cases, the rational ...
متن کاملPeriodic Points for Expansive Actions of Z on Compact Abelian Groups
In this note we show that the periodic points of an expansive Zd action on a compact abelian group are uniformly distributed with respect to Haar measure if the action has completely positive entropy. In the general expansive case, we show that any measure obtained as the distribution of periodic points along some sequence of periods necessarily has maximal entropy but need not be Haar measure. §
متن کاملPeriodic Points
B-spaces are a class of uniquely arcwise connected generalized continua, containing trees. In this paper, it is shown that a main result obtained by several authors for existence of periodic points of small periods of mappings of trees is also true for B-spaces.
متن کاملFixed points of abelian actions on S2
We prove that if F is a finitely generated abelian group of orientation preserving C1 diffeomorphisms of R2 which leaves invariant a compact set then there is a common fixed point for all elements of F . We also show that if F is any abelian subgroup of orientation preserving C1 diffeomorphisms of S2 then there is a common fixed point for all elements of a subgroup of F with index
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: Electronic Research Announcements of the American Mathematical Society
سال: 1997
ISSN: 1079-6762
DOI: 10.1090/s1079-6762-97-00024-3