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UID:DSC-8221
DTSTART;TZID=Europe/Berlin:20141218T140000
SEQUENCE:1413822958
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20141218T150000
URL:https://www.dresden-science-calendar.de/calendar/en/detail/8221
LOCATION:TUD Willers-Bau\, Zellescher Weg 12-1401069 Dresden
SUMMARY:Andres: Invariance principle and heat kernel behaviour for the Rand
 om Conductance Model in a degenerate ergodic environment 
CLASS:PUBLIC
DESCRIPTION:Speaker: Dr. Sebastian Andres \nInstitute of Speaker: Universit
 ät Bonn\nTopics:\nMathematik\n Location:\n  Name: TUD Willers-Bau (WIL A 
 124)\n  Street: Zellescher Weg 12-14\n  City: 01069 Dresden\n  Phone: \n  
 Fax: \nDescription: In this talk we consider a continuous time random walk
   /$X$/^on $\\mathbb{Z}^d$ in an environment of random conductances taking
   values in $ [0\,\\infty)$. We will discuss recent results on a quenched 
  functional central limit theorem for this random walk. Assuming that the 
  law of the conductances is stationary ergodic with respect to space  shif
 ts\, we present such an invariance principle for $/X$/ under some  moment 
 conditions on the environment. Under the same conditions we also obtain  G
 aussian upper bounds on the heat kernel and a local limit theorem. We also
  present a parabolic Harnack inequality for non-elliptic operators in the 
 discrete setting of graphs\, which is needed for the proof of the local li
 mit theorem.  This is joint work with J.-D. Deuschel and M. Slowik.  
DTSTAMP:20260724T025152Z
CREATED:20141020T163558Z
LAST-MODIFIED:20141020T163558Z
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