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SUMMARY:Universality and RSW for inhomogeneous bond percolation - Ioan Man
 olescu (Cambridge)
DTSTART:20111011T153000Z
DTEND:20111011T163000Z
UID:TALK32899@talks.cam.ac.uk
CONTACT:24646
DESCRIPTION:\n The star-triangle transformation is used to obtain an equiv
 alence\nextending over the set of some (in)homogeneous bond percolation mo
 dels on\nthe square\, triangular\, and hexagonal lattices. Amongst the con
 sequences\nare\nbox-crossing (RSW) inequalities and the universality of al
 ternating arms\nexponents (assuming they exist) for such models. The model
 s'\nparameter-values are those at which the transformation is valid. This 
 is a\nstep towards proving the universality and conformality of these proc
 esses.\nIt implies criticality of such values\, thereby providing a new pr
 oof of the\ncritical point of inhomogeneous systems. The proofs extend to 
 certain\nisoradial models to which previous methods do not apply.\n\n
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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