Kihoon Seong

activity

20232025

collaborators

3 papers

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

Low temperature expansion for the Euclidean $Φ_{2}^{4}$ -measure

Benjamin Gess, Kihoon Seong, Pavlos Tsatsoulis

We study asymptotic expansions of the Euclidean $Φ_{2}^{4}$ -measure in the low-temperature regime. In particular, this extends the asymptotic expansions of Gaussian function space inte…

math.PR2023

Exponential ergodicity for the stochastic hyperbolic sine-Gordon equation on the circle

Kihoon Seong

In this paper, we show that the Gibbs measure of the stochastic hyperbolic sine-Gordon equation on the circle is the unique invariant measure for the Markov process. Moreover, the…

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

Low temperature expansion for the Euclidean Φ24​-measure

Exponential ergodicity for the stochastic hyperbolic sine-Gordon equation on the circle

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

Low temperature expansion for the Euclidean $Φ_{2}^{4}$ -measure