43 citations · 108 across the 17 of their papers we have counts for
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math.PR2020
Quasi-invariance of low regularity Gaussian measures under the gauge map of the periodic derivative NLS
Giuseppe Genovese, Renato Lucà, Nikolay Tzvetkov
The periodic DNLS gauge is an anticipative map with singular generator which revealed crucial in the study of the periodic derivative NLS. We prove quasi-invariance of the Gaussian…
math.AP2020★ 8 cited
Convergence over fractals for the periodic Schrödinger equation
Daniel Eceizabarrena, Renato Lucà
We consider a fractal refinement of Carleson's problem for pointwise convergence of solutions to the periodic Schrödinger equation to their initial datum. For and \[ s…