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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…
math.PR2023
Phase transition of singular Gibbs measures for three-dimensional Schrödinger-wave system
Kihoon Seong
We study singular Gibbs measures for the three-dimensional Schrödinger-wave system, also known as the Yukawa system. Our primary result is the phase transition between weak and str…