Leonardo Tolomeo

activity

20232026

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math.AP2025

Quasi invariant Gaussian measures for the nonlinear Schrödinger equation on $T^{2}$

Leonardo Tolomeo, Nicola Visciglia

We study the transport of Gaussian measures under the flow of the 2-dimensional defocusing Schrödinger equation $i \partial_{t} u + Δ u = ∣ u ∣^{2 k} u$ posed on $T^{2}$ . In partic…

math.AP2025

A remark on the log-Sobolev inequality for the Gibbs measure of the focusing Schrödinger equation

Guopeng Li, Jiawei Li, Leonardo Tolomeo

We consider the question of showing a log-Sobolev inequality for the Gibbs measure of the focusing Schrödinger equation built by Lebowitz-Rose-Speer (1988), formally given by $$ dρ…

Quasi invariant Gaussian measures for the nonlinear Schrödinger equation on T2

A remark on the log-Sobolev inequality for the Gibbs measure of the focusing Schrödinger equation

Quasi invariant Gaussian measures for the nonlinear Schrödinger equation on $T^{2}$