Multi-headed lattices and Green functions
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 differe...
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| Main Authors | , , |
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| Format | Journal Article |
| Language | English |
| Published |
30.05.2024
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| Online Access | Get full text |
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| Abstract | 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 P\'olya 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. |
|---|---|
| AbstractList | 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 P\'olya 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. |
| Author | Chern, Shane Chen, Qipin Jiu, Lin |
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| BackLink | https://doi.org/10.48550/arXiv.2405.20294$$DView paper in arXiv |
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| Snippet | Lattice geometries and random walks on them are of great interest for their
applications in different fields such as physics, chemistry, and computer
science.... |
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| SubjectTerms | Mathematics - Combinatorics Mathematics - Mathematical Physics Physics - Mathematical Physics |
| Title | Multi-headed lattices and Green functions |
| URI | https://arxiv.org/abs/2405.20294 |
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