M. Mihailescu

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math-ph2026

Entropic repulsion to the middle layer

Max Mihailescu, Ron Peled

We consider $\nabla φ$ height functions with even and convex interaction energy $W$ on the lattice $Z^{d}$ , which are restricted to take values in the set ${- S, \dots, S}$ …

math-ph2026

Asymptotic long-range order for the XY-model on random geometric graphs

Margherita Disertori, Max Mihailescu

We study the classical $X Y$ -model on random geometric graphs $G_{n, ε}$ , which are obtained by sampling $n \in N$ independent points in a finite domain…