10 citations · 13 across the 14 of their papers we have counts for
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Supercritical sharpness for the random cluster representation of real-valued spin models
Trishen S. Gunaratnam, Dmitry Krachun, Christoforos Panagiotis +2
We study the supercritical regime of a large family of real-valued spin models on , including the Blume-Capel and models. We consider their random clust…
Square-Difference-Free Sets beyond the Three-Quarter Barrier
Dmitry Krachun
Let denote the largest cardinality of a subset of containing no nonzero square difference. While a construction certifying is alm…
Critical exponents for planar random-cluster model with cluster-weight
Hong-Bin Chen, Hugo Duminil-Copin, Tiancheng He +4
Using the Baxter-Kelland-Wu coupling and the convergence of the height function of the six-vertex model to the Gaussian Free Field, we extract critical exponents for the planar cri…
Provable Quantization with Randomized Hadamard Transform
Ying Feng, Piotr Indyk, Michael Kapralov +2
Vector quantization via random projection followed by scalar quantization is a fundamental primitive in machine learning, with applications ranging from similarity search to federa…