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Mathematicians have extended the classic 1992 proof about card shuffling to less precise shuffles, showing that a 'cutoff phenomenon' still occurs even with uneven deck splits.
A tweet shares a lecture at MIT by David Shirokoff covering the fundamentals of Markov Chains, including transition probabilities, Markov matrices, eigenvalues, and long-term steady state.
This paper analyzes the global distributional behavior induced by iterative masked-token resampling in masked language models using Glauber dynamics. It introduces a rectangle test for incompatibility, establishes mixing time bounds, and empirically demonstrates phase transitions and metastable semantic basins.
Jane Street offers $750k/year for quants who can apply Stochastic Processes and Markov Chains in trading, and a free MIT lecture covers similar material.
Researchers use four-state Markov chains to model vowel/consonant patterns in Pushkin’s Evgenij Onegin and its Italian translation, revealing structural asymmetries and narrative-linked phonological cues.