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SUMMARY:Invariance Principle and Local Limit Theorem for the Random Conduc
 tance Model - Sebastian Andres
DTSTART:20170208T160000Z
DTEND:20170208T170000Z
UID:TALK68741@talks.cam.ac.uk
CONTACT:Lisa Maria Kreusser
DESCRIPTION:The random conductance model is a well-established model for a
  random walk in random environment. During the last decade the question wh
 ether a quenched invariance principle (or quenched functional central limi
 t theorem) holds for the random walk and whether the associated heat kerne
 l satisfies a quenched local limit theorem has been intensively studied. I
 n situations where the environment is generated by unbounded conductances 
 these questions turned out to be rather non-trivial because of the possibi
 lity that the random walk might get trapped.\nIn this talk we will review 
 recent results for the case of an ergodic\, degenerate environment. We pre
 sent a quenched invariance principle and a quenched local limit theorem fo
 r ergodic conductances satisfying a certain moment condition.\nThis talk i
 s based on joint work with Jean-Dominique Deuschel and Martin Slowik.
LOCATION:MR14\, Centre for Mathematical Sciences
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