5 papers
Concentration and fluctuations of sine-Gordon measure around topological multi-soliton manifold
Kihoon Seong, Hao Shen, Philippe Sosoe
We study the sine-Gordon measure defined on each homotopy class. The energy space decomposes into infinitely many such classes indexed by the topological degree .…
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…
Sharp phase transition in the grand canonical measure at critical chemical potential
Nikolay Barashkov, Kihoon Seong, Philippe Sosoe
We study the phase transition and critical phenomenon for the grand canonical measure in two-dimensional Euclidean quantum field theory. The study of this measure was initia…
Large deviations and free energy of Gibbs measure for the dynamical -model in infinite volume
Kihoon Seong, Philippe Sosoe
We study the large deviations for focusing Gibbs measures by analyzing the asymptotic behavior of the free energy in the infinite volume limit. This is the invariant Gibbs measure…
Central limit theorem for the focusing -measure in the infinite volume limit
Kihoon Seong, Philippe Sosoe
We study the fluctuations of the focusing -measure on the one-dimensional torus in the infinite volume limit. This measure is an invariant Gibbs measure for the nonlinear Sch…