Kyunghoo Mun

collaborators

4 papers

math.AP2026

Phase transitions for the noisy transformer model in arbitrary dimension

Kyunghoo Mun, Matthew Rosenzweig

We study the McKean--Vlasov free energy on the unit sphere associated with the unnormalized self-attention (USA) model for noisy transformer dynamics. We prove a sharp global-minim…

math.AP2026

Phase transitions in Doi-Onsager, Noisy Transformer, and other multimodal models

Kyunghoo Mun, Matthew Rosenzweig

We study phase transitions for repulsive-attractive mean-field free energies on the circle. For a $\frac{1}{n + 1}$ -periodic interaction whose Fourier coefficients satisfy a certain…

math.AP2026

Phase transitions and linear stability for the mean-field Kuramoto-Daido model

Kyunghoo Mun, Matthew Rosenzweig

We consider the mean-field noisy Kuramoto-Daido model, which is a McKean-Vlasov equation on the circle with bimodal interaction $W (I^¸) = cos I^¸ + m cos 2 I^¸$ for $m \geq 0$ and interaction…

math.PR2025

Dynamical phase transition for the homogeneous multi-component Curie-Weiss-Potts model

Kyunghoo Mun

In this paper, we study the homogeneous multi-component Curie-Weiss-Potts model with $q \geq 3$ spins. The model is defined on the complete graph $K_{N m}$ , whose vertex set is equa…