August 21, 2025SciPost PhysicsOpen Access

Lattice random walks and quantum A-period conjecture

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The study finds that lattice random walks can be enumerated using closed-form expressions for generating functions.
Explicit forms for C_N(A) reveal insights into both square and triangular lattice behaviors across different exclusion strengths.
A conjecture links the enumeration problem to quantum A-periods in Calabi-Yau geometries from high energy physics.
These findings may enable a deeper understanding of the interplay between discrete random walks and complex geometrical structures.

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Observational analysis demonstrates lattice random walks relate to quantum A-period in statistical mechanics, suggesting connections in geometry.

Li Gan (2025) studied this question.

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Observational analysis demonstrates lattice random walks relate to quantum A-period in statistical mechanics, suggesting connections in geometry.