Ioffe D.
"Exact large deviation bounds up to T_c for the Ising model
in two dimensions"
(45K, latex)
ABSTRACT. We prove an upper large deviation bound for the block spin magnetization
in the 2D Ising model in the phase coexistence region. The precise rate
given by the Wulff construction is shown to hold true
for all beta >beta_c.
Those results yield an exact second order large deviation theory up to
the critical temperature.