Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Anna Loranty"'
Publikováno v:
Opuscula Mathematica, Vol 34, Iss 4, Pp 799-812 (2014)
We will consider \(\infty\)-entropy points in the context of the possibilities of approximation mappings by the functions having \(\infty\)-entropy points and belonging to essential (from the point of view of real analysis theory) classes of function
Externí odkaz:
https://doaj.org/article/47d59c3f2a5242e699fcb1db4a0ca0cf
Publikováno v:
Entropy, Vol 20, Iss 2, p 128 (2018)
In the paper, we consider local aspects of the entropy of nonautonomous dynamical systems. For this purpose, we introduce the notion of a (asymptotical) focal entropy point. The notion of entropy appeared as a result of practical needs concerning the
Externí odkaz:
https://doaj.org/article/70b955a612bb43d291603da58cebf51a
Autor:
Anna Loranty, Jacek Hejduk
Publikováno v:
Volume: 49, Issue: 6 1907-1914
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
In the paper we concentrate on a generalized topological space generated by a density type operator on a measurable space. The properties of such generalized topological space are investigated. Moreover, the properties of nowhere dense sets, meager s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01c8e1775ba48255d6bbc0fb7ebf09d3
https://doi.org/10.15672/hujms.580157
https://doi.org/10.15672/hujms.580157
Autor:
Anna Loranty, Jacek Hejduk
Publikováno v:
Georgian Mathematical Journal. 28:733-738
In the paper, some properties of functions continuous with respect to a density type strong generalized topology are presented. In particular, it is proved that each real function is approximately continuous with respect to this generalized topology
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::875c3c4349846f193efafb4743c17a43
https://doi.org/10.1515/gmj-2020-2081
https://doi.org/10.1515/gmj-2020-2081
Publikováno v:
European Journal of Mathematics. 5:106-115
We introduce the concept of a peculiar point (of the first and second kind), which combines stability of functions around a given point on a large set in the sense of Lebesgue measure with strong chaos of a function (in the sense of its entropy value
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f94e9c9c94e946533e5bfd73bb65073
https://doi.org/10.1007/s40879-018-0264-7
https://doi.org/10.1007/s40879-018-0264-7
Publikováno v:
Filomat. 32:4949-4957
In the paper we concentrate on lower, almost-lower and semi-lower density operators on measurable spaces. The existence of maximal element in the families of such operators is investigated. Moreover, we consider topologies generated by the above oper
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d289f643e5274043b71de568c2561122
https://doi.org/10.2298/fil1814949h
https://doi.org/10.2298/fil1814949h
Publikováno v:
Mathematica Slovaca. 67:1543-1556
The aim of the paper is to examine topological properties of disruptions of nonautonomous discrete dynamical system by other “close” systems. Our considerations will be connected with entropy of a system at a point and with stable points of a sys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8a89e79ed4e67700d38c3ad0211d9bb
https://doi.org/10.1515/ms-2017-0069
https://doi.org/10.1515/ms-2017-0069
Autor:
Ryszard J. Pawlak, Anna Loranty
Publikováno v:
Bulletin of the Australian Mathematical Society. 97:69-79
We examine dynamical systems which are ‘nonchaotic’ on a big (in the sense of Lebesgue measure) set in each neighbourhood of a fixed point $x_{0}$, that is, the entropy of this system is zero on a set for which $x_{0}$ is a density point. Conside
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af716642b5d9d6c643c3a4da48f35672
https://doi.org/10.1017/s0004972717000855
https://doi.org/10.1017/s0004972717000855
Autor:
Anna Loranty, Ryszard J. Pawlak
Publikováno v:
Bulletin of the Australian Mathematical Society. 96:245-255
We consider stable and almost stable points of autonomous and nonautonomous discrete dynamical systems defined on the closed unit interval. Our considerations are associated with chaos theory by adding an additional assumption that an entropy of a fu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7e676890dd86b602b1607f26f8de2fd5
https://doi.org/10.1017/s0004972717000272
https://doi.org/10.1017/s0004972717000272
Autor:
Ryszard J. Pawlak, Anna Loranty
Publikováno v:
Chaos (Woodbury, N.Y.). 29(1)
In this paper, the notion of a distributionally chaotic point (connected with focusing of an uncountable distributionally scrambled set and its envelope around this point) is introduced. The theorems dealing with the existence of such points for self
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9757db2bc6e285679eb90d29fc974f9f
https://pubmed.ncbi.nlm.nih.gov/30709120
https://pubmed.ncbi.nlm.nih.gov/30709120