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Nayantara Bhatnagar

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The Computational Complexity of Estimating Convergence TimeApproximate Counting, Markov Chains and Phase Transitions2016-02-22
Constructs Markov chains whose states are Turing‑machine configurations (edges given by a circuit) and tunes an edge weight W so that yes‑instances mix in poly…
Talk
Markov Chain Mixing Times and Applications ICounting Complexity and Phase Transitions Boot Camp2016-01-26
Starts from Markov chains, defines ergodic chains and mixing time, links convergence to the spectral gap (eigenvalue 1 vs second eigenvalue) and shows how to…
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Markov Chain Mixing Times and Applications IICounting Complexity and Phase Transitions Boot Camp2016-01-26
Metropolis chain on proper colorings mixes in order O(n log n) when the number of colors satisfies q > 4Δ via a simple coupling that contracts expected Hamming…
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