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We show that the Poincar\'e constant of a log-concave measure in Euclidean space is monotone increasing along the heat flow.
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2012
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2013
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Chen, Y., An Almost Constant Lower Bound of the Isoperimetric Coefficient in the KLS Conjecture
2021
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Klartag, B., Eldan’s stochastic localization and tubular neighborhoods of complex-analytic sets
2027
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