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math-ph2020★ 1 cited
On a class of orthogonal-invariant quantum spin systems on the complete graph
Kieran Ryan
We study a two-parameter family of quantum spin systems on the complete graph, which is the most general model invariant under the complex orthogonal group. In spin …
math.PR2020★ 1 cited
The Manhattan and Lorentz Mirror Models -- A result on the Cylinder with low density of mirrors
Kieran Ryan
We study the Manhattan and Lorentz Mirror models on an infinite cylinder of finite even width , with the mirror probability satisfying , a constant. We use th…