= Vincent Tassion
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Vincent Tassion coauthored a proof of sharpness of the <bond percolation> transition with <Hugo Duminil-Copin>. Below the critical probability, connection to distance $n$ decays exponentially; above it, the infinite-cluster probability obeys a quantitative lower bound. The argument distinguishes two regimes on either side of the threshold rather than merely proving that a threshold exists.<A new proof of the sharpness of the phase transition for Bernoulli percolation on Zd by Hugo Duminil-Copin and Vincent Tassion>[Abstract and Theorem 1.1]{ref}
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