Ron Peled

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20222026

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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.PR2026

On the rigidity of sloped height functions in $d \geq 3$ and non-crossing surfaces

Arka Adhikari, Reza Gheissari, Ron Peled

We consider integer-valued $\nabla ϕ$ height functions, with general convex interactions, placed on a slope. Sheffield (2003) conjectured that for all slopes, such height functions…

math.PR2026

On the critical fugacity of the hard-core model on regular bipartite graphs

Daniel Hadas, Ron Peled

We establish long-range order for the hard-core model on a finite, regular bipartite graph above a threshold fugacity given in terms of expansion parameters of the graph. The resul…

Entropic repulsion to the middle layer

On the rigidity of sloped height functions in d≥3 and non-crossing surfaces

On the critical fugacity of the hard-core model on regular bipartite graphs

On the rigidity of sloped height functions in $d \geq 3$ and non-crossing surfaces