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 M3//EN
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BEGIN:VEVENT
DTSTAMP:20211022T091209Z
DTSTART:20211027T140000Z
DTEND:20211027T150000Z
SUMMARY:Alberto Chiarini  -  Disconnection and entropic repulsion for the
  harmonic crystal with random conductances
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}ioe-kv25mt9
 t-n06drj
DESCRIPTION:Alberto Chiarini (Eindhoven University of Technology) will sp
 eak in the Probability seminar. \n\nWe study level-set percolation of th
 e discrete Gaussian free field on the Euclidean lattice in three and mor
 e dimensions\, equipped with uniformly elliptic random conductances. We 
 prove that this percolation model undergoes a non-trivial phase transiti
 on at a deterministic level. For a compact set A in \\mathbb{R}^d\, we s
 tudy the disconnection event that the level-set of the field below a giv
 en level disconnects the discrete blow-up of A from the boundary of an e
 nclosing box\, in a strongly percolative regime. We present quenched asy
 mptotic upper and lower bounds on this probability in terms of the homog
 enized capacity of A. The upper and lower bounds concerning disconnectio
 n that we derive are plausibly matching at leading order. In this case\,
  this work shows that conditioning on disconnection leads to an entropic
  push-down of the field. (Based on a joint work with M. Nitzschner NYU C
 ourant)\n
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:https://zoom.us/j/97200455451
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