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March 11, 2026Journal of Theoretical ProbabilityOpen Access

Cutoff for Contingency Table and Torus Random Walks with Low Incremental Correlations

Zihao Fang Andrew Heeszel

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Key Points

This research aims to determine the cutoff times for random walks on torus and contingency tables based on correlation matrix.
Analyzed mixing time of random walks on the torus and contingency tables using correlation matrices.
Considered the Diaconis–Gangolli random walk on 1 × n and m × n contingency tables.
Provided analytical proofs for cutoff times based on the dimensions of the tables.
Established cutoff behavior for random walks at defined times based on the table dimensions.
Showed specific cutoff times as a function of parameters n, m, and q.

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Implication

We demonstrate cutoff behavior in random walks on contingency tables, pointing to implications for mixing time analysis.

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Cite This Study

Fang et al. (2026) studied this question.

synapsesocial.com/papers/69b4ad9a18185d8a39801219 https://doi.org/10.1007/s10959-026-01492-7

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