TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL VOTER MODELS
We show that for the voter model on {0, 1}^Z corresponding to a random walk with kernel p(·) and starting from unanimity to the right and opposing unanimity to the left, a tight interface between zeros and ones exists if p(·) has finite second moment but does not if p(·) fails to have finite momen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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2005
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| Online Access: | http://scholars.utp.edu.my/id/eprint/2723/ http://scholars.utp.edu.my/id/eprint/2723/1/Samir_brahim_paper_1.pdf |
| _version_ | 1848659293870489600 |
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| author | Brahim Belhaouari, samir MOUNTFORD, Thomas |
| author_facet | Brahim Belhaouari, samir MOUNTFORD, Thomas |
| author_sort | Brahim Belhaouari, samir |
| building | UTP Institutional Repository |
| collection | Online Access |
| description | We show that for the voter model on {0, 1}^Z corresponding to a random walk with kernel p(·) and starting from
unanimity to the right and opposing unanimity to the left, a tight interface between zeros and ones exists if
p(·) has finite second moment but does not if p(·) fails to have finite moment of order α for some α < 2. |
| first_indexed | 2025-11-13T07:28:08Z |
| format | Article |
| id | oai:scholars.utp.edu.my:2723 |
| institution | Universiti Teknologi Petronas |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-13T07:28:08Z |
| publishDate | 2005 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:scholars.utp.edu.my:27232017-01-19T08:27:26Z http://scholars.utp.edu.my/id/eprint/2723/ TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL VOTER MODELS Brahim Belhaouari, samir MOUNTFORD, Thomas RZ Other systems of medicine QA75 Electronic computers. Computer science We show that for the voter model on {0, 1}^Z corresponding to a random walk with kernel p(·) and starting from unanimity to the right and opposing unanimity to the left, a tight interface between zeros and ones exists if p(·) has finite second moment but does not if p(·) fails to have finite moment of order α for some α < 2. 2005-12-05 Article PeerReviewed application/pdf en http://scholars.utp.edu.my/id/eprint/2723/1/Samir_brahim_paper_1.pdf Brahim Belhaouari, samir and MOUNTFORD, Thomas (2005) TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL VOTER MODELS. Proc. London Math. Soc. Page 1 of 22 C. pp. 1-22. |
| spellingShingle | RZ Other systems of medicine QA75 Electronic computers. Computer science Brahim Belhaouari, samir MOUNTFORD, Thomas TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL VOTER MODELS |
| title | TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL
VOTER MODELS |
| title_full | TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL
VOTER MODELS |
| title_fullStr | TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL
VOTER MODELS |
| title_full_unstemmed | TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL
VOTER MODELS |
| title_short | TIGHTNESS FOR THE INTERFACES OF ONE-DIMENSIONAL
VOTER MODELS |
| title_sort | tightness for the interfaces of one-dimensional
voter models |
| topic | RZ Other systems of medicine QA75 Electronic computers. Computer science |
| url | http://scholars.utp.edu.my/id/eprint/2723/ http://scholars.utp.edu.my/id/eprint/2723/1/Samir_brahim_paper_1.pdf |