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math.AP2024
Cancellations for dispersive PDEs with random initial data
Yvain Bruned, Leonardo Tolomeo
In this work, we provide a combinatorial formalism for dealing with the cancellations that have appeared recently in the context of dispersive PDEs with random initial data. The ma…
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 , where $s>\f…