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# Category Archives: Zero level sets and Stochastic PDEs

## Hausdorff dimension of the zero level set of alpha-Stochastic heat equation

Consider the equation where for , with , we set for and such that for and . RO: The dimension of the zero level set is . Reference: Hausdorff dimension of the level sets of some stochastic PDEs from fluid … Continue reading

## Zero level set of 2D NSE

Conformal invariance (CI) In “Conformal invariance in two-dimensional turbulence” by Bernard etal, it was guessed that numerically the zero level set (ZLS) for the vorticity field has the same properties as an SLE curve. Since NSE and Euler equations are … Continue reading