| Abstract: |
| We consider the large deviations of a particle system $\eta^N$ with degenerate and superlinear diffusivity. The key challenge is to develop uniform integrability estimate on the nonlinearity $(\eta^N(x))^\alpha$ in a situation where neither pathwise regularity nor Dirichlet-form based regularity is readily available. This is resolved introducing a novel multiscale argument exploiting the appearance of pathwise regularity across scales. |
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