3 research outputs found
KMS states and conformal measures
From a non-constant holomorphic map on a connected Riemann surface we
construct an 'etale second countable locally compact Hausdorff groupoid whose
associated groupoid C*-algebra admits a one-parameter group of automorphisms
with the property that its KMS states corresponds to conformal measures in the
sense of Sullivan. In this way certain quadratic polynomials give rise to
quantum statistical models with a phase transition arising from spontaneous
symmetry breaking.Comment: The last section revised. This version will appear in Comm. Math.
Phy