Universal E(q) ~ q^{-1} spectrum in 2D active nematic turbulence yields sign-field correlation exponent a=3/2 at the Weinrib-Halperin marginal point, preserving percolation universality and SLE_6 for zero-vorticity interfaces.
The spectrum of clipped noise
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Thesis uses statistical mechanics to study DAM and RBM models for understanding memorization, low-dimensional learning, and adversarial robustness in neural networks.
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