Finite minimal-perimeter shapes in hyperbolic {p,q} lattices are characterized; layer-constructed balls realize the Häggström-Jonasson-Lyons isoperimetric constant exactly for any vertex count.
Aizenman, Translation invariance and instability of phase coexistence in the two dimen- sional Ising system , Communications in Mathematical Physics, 73 (1980), pp
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On minimal shapes and isoperimetric constants in hyperbolic lattices
Finite minimal-perimeter shapes in hyperbolic {p,q} lattices are characterized; layer-constructed balls realize the Häggström-Jonasson-Lyons isoperimetric constant exactly for any vertex count.