Open AccessDisjoint topological transitivity for cosine operator functions on groups
Author(s) -
Chung-Chuan Chen
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1708413c
Subject(s) - mathematics , transitive relation , disjoint sets , operator (biology) , trigonometric functions , mixing (physics) , pure mathematics , discrete mathematics , combinatorics , biochemistry , chemistry , physics , geometry , repressor , quantum mechanics , transcription factor , gene
In this paper, we study finite sequences of operators, generated by the powers of weighted translations on discrete groups, and give sufficient conditions for such sequences to be disjoint topologically transitive and mixing in terms of the group elements and weights. The sequences of operators are cosine operator functions. Moreover, we also obtain necessary conditions for cosine operator functions to be disjoint transitive and mixing.