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Random loop models and quantum spin systems

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If you have a question about this talk, please contact John Shimmon.

The random loop representations of quantum Heisenberg models allow to study these systems using probabilistic methods. They were introduced twenty years ago by Toth and Aizenman-Nachtergaele. I will review rigorous results and open questions. I will describe a probabilistic proof of exponential decay of transverse quantum correlations (joint work with J. Bjornberg).

This talk is part of the Probability series.

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