Kihoon Seong

collaborators

4 papers

math.PR2025

Polynomial mixing for the stochastic Schrödinger equation with large damping in the whole space

Hung D. Nguyen, Kihoon Seong

We study the long-time mixing behavior of the stochastic nonlinear Schrödinger equation in $R^{d}$ , $d \leq 3$ . It is well known that, under a sufficiently strong damping forc…

math.PR2025

Large deviation principles for the Gross Pitaevskii Gibbs measure at low temperature

Liam Packer, Kihoon Seong, Philippe Sosoe

We prove the large deviation principle for the conditional Gibbs measure associated with the focusing Gross Pitaevskii equation in the low temperature regime. This conditional meas…

math.PR2025

Sharp phase transition in the grand canonical $Φ^{3}$ measure at critical chemical potential

Nikolay Barashkov, Kihoon Seong, Philippe Sosoe

We study the phase transition and critical phenomenon for the grand canonical $Φ^{3}$ measure in two-dimensional Euclidean quantum field theory. The study of this measure was initiat…

math.PR2024

Central limit theorem for the focusing $Φ^{4}$ -measure in the infinite volume limit

Kihoon Seong, Philippe Sosoe

We study the fluctuations of the focusing $Φ^{4}$ -measure on the one-dimensional torus in the infinite volume limit. This measure is an invariant Gibbs measure for the nonlinear Schr…

Polynomial mixing for the stochastic Schrödinger equation with large damping in the whole space

Large deviation principles for the Gross Pitaevskii Gibbs measure at low temperature

Sharp phase transition in the grand canonical Φ3 measure at critical chemical potential

Central limit theorem for the focusing Φ4-measure in the infinite volume limit

Sharp phase transition in the grand canonical $Φ^{3}$ measure at critical chemical potential

Central limit theorem for the focusing $Φ^{4}$ -measure in the infinite volume limit