تقرير
Algebraic area enumeration for open lattice walks
| العنوان: | Algebraic area enumeration for open lattice walks |
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| المؤلفون: | Ouvry, Stephane, Polychronakos, Alexios |
| سنة النشر: | 2022 |
| المجموعة: | Mathematics Condensed Matter High Energy Physics - Theory Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Condensed Matter - Statistical Mechanics, High Energy Physics - Theory, Mathematics - Combinatorics |
| الوصف: | We calculate the number of open walks of fixed length and algebraic area on a square planar lattice by an extension of the operator method used for the enumeration of closed walks. The open walk area is defined by closing the walks with a straight line across their endpoints and can assume half-integer values in lattice cell units. We also derive the length and area counting of walks with endpoints on specific straight lines and outline an approach for dealing with walks with fully fixed endpoints. Comment: 15 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1751-8121/aca573 |
| URL الوصول: | http://arxiv.org/abs/2206.12428 |
| رقم الأكسشن: | edsarx.2206.12428 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1751-8121/aca573 |
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