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UID:20250701T203456EDT-5791uM68H0@132.216.98.100
DTSTAMP:20250702T003456Z
DESCRIPTION:The Imry-Ma effect and the decay of correlations under quenched
  random field\n\nThe famed discontinuity of the magnetization in the two d
 imensional Ising model is unstable to the addition of quenched random magn
 etic field of uniform variance\, even if that is small. The talk will focu
 s on a quantitative version of the statement established in a previous wor
 k with J. Wehr. The result is a power-law upper bound on the decay of the 
 effects of boundary conditions on the magnetization in finite systems\, as
  function of the distance to the boundary. The analysis applies to all fie
 ld strengths and all temperatures\, including T =0. However the result doe
 s not resolve the question of possible transition to exponential decay at 
 weak disorder. The corresponding questions concerning disorder effects on 
 systems with continuous symmetry in three and four dimensions also remain 
 open. The talk is based on a recent joint work with Ron Peled (TAU).\n	 \n
DTSTART:20180927T200000Z
DTEND:20180927T210000Z
LOCATION:Room 1140\, CA\, Pav. André-Aisenstadt
SUMMARY:Michael Aizenman\, Princeton University
URL:/mathstat/channels/event/michael-aizenman-princeto
 n-university-289933
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