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math.AP2026★ 3 cited
Phase transition for invariant measures of the focusing Schrödinger equation
Leonardo Tolomeo, Hendrik Weber
We consider the Gibbs measure for the focusing nonlinear Schrödinger equation on the one-dimensional torus , that was introduced in a seminal paper by Lebowitz, Rose an…
math.AP2025
Hyperbolic -model on the plane
Tadahiro Oh, Leonardo Tolomeo, Yuzhao Wang +1
We study the hyperbolic -model on the plane. By establishing coming down from infinity for the associated stochastic nonlinear heat equation (SNLH) on the plane, we fir…