33 citations · 116 across the 14 of their papers we have counts for
6 papers · 1 filter
Focusing Gibbs measures with harmonic potential
Tristan Robert, Kihoon Seong, Leonardo Tolomeo +1
In this paper, we study the Gibbs measures associated to the focusing nonlinear Schrödinger equation with harmonic potential on Euclidean spaces. We establish a dichotomy for norma…
Yet another notion of irregularity through small ball estimates
Marco Romito, Leonardo Tolomeo
We introduce a new notion of irregularity of paths, in terms of control of growth of the size of small balls by means of the occupation measure of the path. This notion ensures Bes…
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…
A remark on Gibbs measures with log-correlated Gaussian fields
Tadahiro Oh, Kihoon Seong, Leonardo Tolomeo
We study Gibbs measures with log-correlated base Gaussian fields on the -dimensional torus. In the defocusing case, the construction of such Gibbs measures follows from Nelson's…
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 (…
Optimal integrability threshold for Gibbs measures associated with focusing NLS on the torus
Tadahiro Oh, Philippe Sosoe, Leonardo Tolomeo
We study an optimal mass threshold for normalizability of the Gibbs measures associated with the focusing mass-critical nonlinear Schrödinger equation on the one-dimensional torus.…