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UID:news874@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190513T132303
DTSTART;TZID=Europe/Zurich:20190515T110000
SUMMARY:Seminar in probability theory: Augusto Teixeira (IMPA)
DESCRIPTION:In this talk we will study the asymptotic behavior of a random 
 walk that evolves on top of a simple symmetric exclusion process. This nic
 e example of a random walk on a dynamical random environment presents its 
 own challenges due to the slow mixing properties of the underlying medium.
  We will discuss a law of large numbers that has been proved recently for 
 this random walk. Interestingly\, we can only prove this law of large numb
 ers for all but two exceptional densities of the exclusion process. The ma
 in technique that we have employed is a multi-scale renormalization that h
 as been derived from works in percolation theory.
X-ALT-DESC:\n<table><tbody><tr><td colspan="2">In this talk we will study t
 he asymptotic behavior of a random walk that evolves on top of a simple sy
 mmetric exclusion process. This nice example of a random walk on a dynamic
 al random environment presents its own challenges due to the slow mixing p
 roperties of the underlying medium. We will discuss a law of large numbers
  that has been proved recently for this random walk. Interestingly\, we ca
 n only prove this law of large numbers for all but two exceptional densiti
 es of the exclusion process. The main technique that we have employed is a
  multi-scale renormalization that has been derived from works in percolati
 on theory.</td></tr><tr></tr></tbody></table>\n<br /> 
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