Algebraic area enumeration for lattice paths

التفاصيل البيبلوغرافية
العنوان: Algebraic area enumeration for lattice paths
المؤلفون: Ouvry, Stephane, Polychronakos, Alexios P.
سنة النشر: 2021
المجموعة: Mathematics
Mathematical Physics
مصطلحات موضوعية: Mathematical Physics
الوصف: We give a summary of recent progress on the algebraic area enumeration of closed paths on planar lattices. Several connections are made with quantum mechanics and statistical mechanics. Explicit combinatorial formulae are proposed which rely on sums labelled by the multicompositions of the length of the paths.
Comment: 13 pages, 4 figures, 1 footnote added, 1 reference added
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2110.09394
رقم الأكسشن: edsarx.2110.09394
قاعدة البيانات: arXiv