4 papers
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…
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…
Stochastic quantization of the -model
Tadahiro Oh, Mamoru Okamoto, Leonardo Tolomeo
(Due to the limit on the number of characters for an abstract set by arXiv, the full abstract can not be displayed here. See the abstract in the paper.) We study the construction o…
Focusing -model with a Hartree-type nonlinearity
Tadahiro Oh, Mamoru Okamoto, Leonardo Tolomeo
(Due to the limit on the number of characters for an abstract set by arXiv, the full abstract can not be displayed here. See the abstract in the paper.) Lebowitz, Rose, and Speer (…