Multi-headed lattices and Green functions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910464532807680 |
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| author | Chen, Qipin Chern, Shane Jiu, Lin |
| author_facet | Chen, Qipin Chern, Shane Jiu, Lin |
| contents | Lattice geometries and random walks on them are of great interest for their applications in different fields such as physics, chemistry, and computer science. In this work, we focus on multi-headed lattices and study properties of the Green functions for these lattices such as the associated differential equations and the Pólya numbers. In particular, we complete the analysis of three missing cases in dimensions no larger than five. Our results are built upon an automatic machinery of creative telescoping. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_20294 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multi-headed lattices and Green functions Chen, Qipin Chern, Shane Jiu, Lin Combinatorics Mathematical Physics 82B41, 05A15, 68W30 Lattice geometries and random walks on them are of great interest for their applications in different fields such as physics, chemistry, and computer science. In this work, we focus on multi-headed lattices and study properties of the Green functions for these lattices such as the associated differential equations and the Pólya numbers. In particular, we complete the analysis of three missing cases in dimensions no larger than five. Our results are built upon an automatic machinery of creative telescoping. |
| title | Multi-headed lattices and Green functions |
| topic | Combinatorics Mathematical Physics 82B41, 05A15, 68W30 |
| url | https://arxiv.org/abs/2405.20294 |