Timeline for Is there an analogue of the Lefschetz fixed point theorem for discrete dynamical systems?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Jan 5, 2010 at 22:38 | comment | added | Qiaochu Yuan | A walk is a sequence of vertices and edges such that the edges connect adjacent vertices. I make no assumption as to the repetition of edges or vertices. A closed walk is a walk whose first and last vertex coincide, and an aperiodic closed walk whose sequence of vertices-and-edges together is not periodic. For example v_1-e_1-v_2-e_2-v_1-e_1-v_2-e_2-v_1 is closed but periodic. | |
| Jan 5, 2010 at 19:13 | comment | added | eric | I am not proposing an answer, so I'd be grateful if someone could link this to the question. My concern is based on your assumption of aperiodic "closed" walks. I am not sure what "closed" means. Maybe it refers to cycles ? What condition makes sure that these are aperiodic walks ? And how do YOU define aperiodic. | |
| Jan 5, 2010 at 14:31 | comment | added | Qiaochu Yuan | Sorry, I'm not sure what you mean. | |
| Jan 5, 2010 at 7:02 | comment | added | eric | please link this to overall comments. | |
| Jan 5, 2010 at 7:01 | history | answered | eric | CC BY-SA 2.5 |