Showing math.APShow all
3 papers · 1 filter
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 -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 for and interaction…