A Zero Entropy T Such That the [t ,id] Endomorphism Is Nonstandard
نویسنده
چکیده
We present an example of an ergodic transformation T , a variant of a zero entropy non loosely Bernoulli map of Feldman [1], such that the sequence of random variables generated by the [T ,Id] endomorphism is nonstandard.
منابع مشابه
If the [ T , Id ] automorphism is Bernoulli then the [ T , Id ] endomorphism is standard
For any 1-1 measure preserving map T of a probability space we can form the [T, Id] and [T, T−1] automorphisms as well as the corresponding endomorphisms and decreasing sequence of σ-algebras. In this paper we show that if T has zero entropy and the [T, Id] automorphism is isomorphic to a Bernoulli shift then the decreasing sequence of σ-algebras generated by the [T, Id] endomorphism is standar...
متن کاملThe Quasi-morphic Property of Group
A group is called morphic if for each normal endomorphism α in end(G),there exists β such that ker(α)= Gβ and Gα= ker(β). In this paper, we consider the case that there exist normal endomorphisms β and γ such that ker(α)= Gβ and Gα = ker(γ). We call G quasi-morphic, if this happens for any normal endomorphism α in end(G). We get the following results: G is quasi-morphic if and only if, for any ...
متن کاملA nonstandard finite difference scheme for solving fractional-order model of HIV-1 infection of CD4^{+} t-cells
In this paper, we introduce fractional-order into a model of HIV-1 infection of CD4^+ T--cells. We study the effect of the changing the average number of viral particles $N$ with different sets of initial conditions on the dynamics of the presented model. The nonstandard finite difference (NSFD) scheme is implemented to study the dynamic behaviors in the fractional--order HIV-1 ...
متن کاملEntropy Bounds for Endomorphisms Commuting with K Actions
Shereshevsky has shown that a shift–commuting homeomorphism from the two–dimensional full shift to itself cannot be expansive, and asked if such a homeomorphism can have finite positive entropy. We formulate an algebraic analogue of this problem, and answer it in a special case by proving the following: if T : X → X is a mixing endomorphism of a compact metrizable abelian group X, and T commute...
متن کاملQuasicompact and Riesz unital endomorphisms of real Lipschitz algebras of complex-valued functions
We first show that a bounded linear operator $ T $ on a real Banach space $ E $ is quasicompact (Riesz, respectively) if and only if $T': E_{mathbb{C}}longrightarrow E_{mathbb{C}}$ is quasicompact (Riesz, respectively), where the complex Banach space $E_{mathbb{C}}$ is a suitable complexification of $E$ and $T'$ is the complex linear operator on $E_{mathbb{C}}$ associated with $T$. Next, we pr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1999