Recurrence in generalized semigroup
نویسندگان
چکیده
In [arXiv:1904.12333], we introduced the concept of escaping set in general setting for a topological space and extended notion limit semigroup generated by continuous self maps. this paper continue with extending other notions recurrence generalized analogs to their counterpart classical theory dynamics. We discuss periodic point, nonwandering point chain recurrent more establish correlation between them.
منابع مشابه
Semigroup Compactifications by Generalized Distal Functions
The notion of "Semigroup compactification" which is in a sense, a generalization of the classical Bohr (almost periodic) compactlflcation of the usual additive reals R, has been studied by J.F. Berglund et. al. [2]. Their approach to the theory of semigroup compactification is based on the Gelfand-Naimark theory of commutative Calgebras, where the spectra of admissible C*-aigebras, are the semi...
متن کاملRecurrence Relations for Quotient Moment of Generalized Pareto Distribution Based on Generalized Order Statistics and Characterization
Generalized Pareto distribution play an important role in reliability, extreme value theory, and other branches of applied probability and statistics. This family of distributions includes exponential distribution, Pareto distribution, and Power distribution. In this paper, we established exact expressions and recurrence relations satisfied by the quotient moments of generalized order statistic...
متن کاملGeneralized Staircases: Recurrence and Symmetry
We study infinite translation surfaces which are Z-covers of compact translation surfaces. We obtain conditions ensuring that such surfaces have Veech groups which are Fuchsian of the first kind and give a necessary and sufficient condition for recurrence of their straight-line flows. Extending results of Hubert and Schmithüsen, we provide examples of infinite non-arithmetic lattice surfaces, a...
متن کاملSimple and generalized T -fuzzy bi-ideals of Γ-semigroup
Abstract. In this paper, we introduce the concept of T−fuzzy interior ideal, T−fuzzy simple, T−fuzzy bi-ideal, and generalized T−fuzzy bi-ideal of a Γ−semigroup. We characterize Γ−semigroups through T−fuzzification. We find equivalent conditions on these fuzzy subsets in simple Γ−semigroups and Γ−semigroups. Finally, we establish a necessary and sufficient condition for a T -fuzzy bi-ideal to b...
متن کاملOn the Maximal Function for the Generalized Ornstein-uhlenbeck Semigroup
In this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in R associated with the generalized Hermite polynomials {Hμ n} and prove that it is weak type (1,1) with respect to dλμ(x) = |x|2μe−|x| 2 dx, for μ > −1/2 as well as bounded on L(dλμ) for p > 1.
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: Indian Journal of Pure and Applied Mathematics
سال: 2021
ISSN: ['0019-5588', '0975-7465', '2455-0000']
DOI: https://doi.org/10.1007/s13226-021-00076-x