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SUMMARY:Minimal solutions of monotone variational recurrence relations
DTSTART:20141203T163000
DTEND:20141203T173000
DTSTAMP:20260506T144016Z
UID:0ca1a3e129ba78ee11a8bc68369fe358b7f303b99dca356edad4caa2
CATEGORIES:Conferences - Seminars
DESCRIPTION:Blaz Mramor (Freiburg)\nGeometry and Dynamics SeminarAbstract:
  Monotone variational recurrence relations arise in the study of Hamiltoni
 an twist maps and in solid state physics\, for example in the study of fer
 romagnetic crystals models. The existence and type of minimal solutions th
 at such a recurrence relation admits\, depends on the geometry of the unde
 rlying space. When the underlying space is a lattice\, Aubry-Mather theory
  guarantees the existence of translation-invariant and ordered families of
  minimising solutions for every given mean lattice spacing. In the case of
  irrational lattice spacings\, these give us the so-called Aubry-Mather se
 ts\, which are either connected families or Cantor sets of solutions. In c
 ase that the underlying space is a Cayley graph of a hyperbolic group\, a 
 richer family of uniformly bounded minimal solutions may be found.
LOCATION:GR A3 30
STATUS:CONFIRMED
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