A Manifold of Pure Gibbs States of the Ising Model on the Lobachevsky Plane

作者：Gandolfo Daniel^*; Ruiz Jean; Shlosman Senya

来源：Communications in Mathematical Physics, 2015, 334(1): 313-330.

DOI：10.1007/s00220-014-2136-4

In this paper we construct many 'new' Gibbs states of the Ising model on the Lobachevsky plane, the millefeuilles. Unlike the usual states on the integer lattices, our foliated states have infinitely many interfaces. The interfaces are rigid and fill the Lobachevsky plane with positive density. We also construct analogous states on the Cayley trees.

• 出版日期2015-2