A path-integral DMFT for periodic phase oscillators yields a self-consistent single-oscillator stochastic equation that handles arbitrary 2π-periodic couplings and predicts synchronization thresholds from iPRC-fitted neuron data.
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Symmetry and conservation laws alone yield nonlinear fluctuating hydrodynamics equations whose sound and heat modes both flow to a KPZ fixed point with dynamical exponent 3/2, confirmed by simulations matching the Prahofer-Spohn function.
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Compact Dynamical Mean-Field Theory of Oscillator Networks
A path-integral DMFT for periodic phase oscillators yields a self-consistent single-oscillator stochastic equation that handles arbitrary 2π-periodic couplings and predicts synchronization thresholds from iPRC-fitted neuron data.
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Symmetry-based nonlinear fluctuating hydrodynamics in one dimension
Symmetry and conservation laws alone yield nonlinear fluctuating hydrodynamics equations whose sound and heat modes both flow to a KPZ fixed point with dynamical exponent 3/2, confirmed by simulations matching the Prahofer-Spohn function.