Jim Wiseman
We show that if an orientation-preserving homeomorphism of the plane has a topologically chain recurrent point, then it has a fixed point, generalizing the Brouwer plane translation theorem.
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Jim Wiseman
We show that if an orientation-preserving homeomorphism of the plane has a topologically chain recurrent point, then it has a fixed point, generalizing the Brouwer plane translation theorem.
Radu Miculescu, Alexandru Mihail
In this paper we introduce the notion of diameter diminishing to zero iterated function system, study its properties and provide alternative characterizations of it.
Ahmad Abdullah, Nurhaeni DS Nurhaeni DS
Pendidikan humanis merupakan sebuah proses penyadaran dan peningkatan terhadap harkat kemanusiaan serta potensi yang dimiliki manusia. Islam juga memandang bahwa pendidikan pada hakikatnya adalah mengangkat derajat manusia kembali ke fitrahnya, sebagai makhluk yang mulia dan bermartabat, mempunyai potensi fitrah yang cenderung pada kebenaran dan kebaikan (hanif), bebas, merdeka dan sadar akan eksistensinya.
Linyuan Liu
In this article, we prove a limit theorem for an observable on the torus with a singularity of type $x^{-a}$, where $0<a<1$.
Wolfgang Krieger
A class of highly symmetric Markov-Dyck shifts is introduced. Topological entropies and zeta functions are determined.
Balázs Bárány, Michał Rams
We describe the shrinking target set for the Bedford-McMullen carpets, with targets being either cylinders or geometric balls.
Mohammad Javaheri
Let $\mathbb{K}=\mathbb{R}$ or $\mathbb{C}$, and $T_n(\mathbb{K})$ be the set of $n\times n$ lower triangular matrices with entries in $\mathbb{K}$. We show that $T_n(\mathbb{K})$ has dense subsemigroups that are generated by $n+1$ matrices.
Abed Bounemoura
In this article, we consider the dynamics in a neighborhood of a quasi-periodic torus which is invariant by a Hamiltonian flow, we discuss several notions of stability and we prove several results of instability when the frequency of the invariant torus is resonant.
Junghun Lee
We will see an alternative proof of the non-Archimedean Montel theorem, which is also called Hsia's criterion, for polynomial dynamics.
Marco Sabatini
We extend a result proved in \cite{Col} for mirror symmetries of planar systems to measure-preserving non-linear reversibilities of $n$-dimensional systems, dropping the analyticity and nondegeneracy conditions.
Konstantin Khanin, Michael Yampolsky
We study the renormalization operator of circle homeomorphisms with a break point and show that it possesses a hyperbolic horseshoe attractor.
Gonzalo Contreras
We prove that for an expanding transformation the maximizing measures of a generic Lipschitz function are supported on a single periodic orbit.
R. N. Ganikhodzhaev, A. T. Pirnapasov
We study some topological properties of attractors.
Mansoor Saburov
In this paper we showed an equivalence of notions of regularity, transitivity and Ergodic principle for quadratic stochastic Volterra operators acting on the finite dimensional simplex.
Wolfgang Krieger
Extrapolating from the two-block system of an example of a nonsofic shift hat was given by Lind and Marcus, a class of one-counter shifts is described, that is disjoint from the class of standard one-counter shifts.
Mario Ponce
We show that the fibred rotation number associated to an indifferent invariant curve for a fibred holomorphic map is a topological invariant.
Amie Wilkinson
This is an expository article/encyclopedia entry explaining the history, techniques, and central results in the field of smooth ergodic theory.
Oana Chis, Mircea Puta
The paper presents some dynamical aspects of Rabinovich type, with distributed delay and with fractional derivatives.
Ali Ghaffari
In this paper, among other things, we state and prove the mean ergodic theorem for amenable semigroup algebras.
Gavriel Segre
A bundle theoretic interpretation of the non-adiabatic classical geometric phase is given in the Koopman representation of dynamics
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