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Geometric mixing is a concept in probability theory and statistics that describes the process by which a mixture of distributions converges to a uniform distribution over time. This phenomenon often occurs in Markov chains, where the state space is partitioned into different regions, and the dynamics of the system cause the distribution of states to become more spread out and smooth. As mixing progresses, the probability distribution approaches a stationary distribution, often leading to more uniformity in the sampled outcomes. This concept is important in various applications, including statistical mechanics and the analysis of randomized algorithms.

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1w ago

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