Ing. Peter Baláži (Ph.D. alumnus)
studium
| advisor: | Prof. Ing. Edita Pelantová, Csc. |
| study start date: | 01.09.2003 |
| study form: | combined |
| state exam: | 08.04.2005 |
| title of dissertation thesis: | 3-interval Exchange Transformations |
| POPIS_DISERTACNI_PRACE: | The thesis is devoted to the study of various aspects of codings of r-interval exchange transformation. or words arising from 2 and 3 interval exchange transformations we derive a necessary and sufficient condition on the invariance under non-trivial substitution. Our approach is based on a geometrical representation of words codings 2-iets or 3-iets via the cut-and-project scheme. We also show a necessary and sufficient condition for the self similarity of cut-and-project set. The we improve an older estimate of the palindromic complexity for a certain class of words. Finally we calculate the palindromic complexity for non-degenerate words coding a r-interval exchange transformation. |
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