James Coe

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20242026

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math.AP2026

Singular evolution of Gaussian measures under energy-critical and supercritical nonlinear Schrödinger equations

James Coe

We consider a family of nonlinear Schrödinger equations with odd-power nonlinearities and fractional dispersion in an energy-critical/supercritical regime. For a family of Gaussian…

math.AP2024

Sharp quasi-invariance threshold for the cubic Szegő equation

James Coe, Leonardo Tolomeo

We consider the 1-dimensional cubic Szegő equation with data distributed according to the Gaussian measure with inverse covariance operator $(1 - \partial_{x}^{2})^{\frac{s}{2}}$ , where $s>\f…