Combinatorics Meets Potential Theory

[摘要] Using potential theoretic techniques, we show how it is possible to determine the dominant asymptotics for the number of walks of length $n$, restricted to the positive quadrant and taking unit steps in a balanced set $\Gamma$.

[学科分类] 离散数学和组合数学

[关键词] Lattice path enumeration;analytic combinatorics in several variables;discrete potential theory;discrete harmonic functions