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SUMMARY:Tal Orenshtein (TU Berlin\, Weierstrass Institute and Free Univers
 ity of Berlin)
DTSTART:20200427T113000Z
DTEND:20200427T123000Z
DTSTAMP:20260423T040541Z
UID:HSPETDS/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HSPETDS/2/">
 Rough walks in random environment</a>\nby Tal Orenshtein (TU Berlin\, Weie
 rstrass Institute and Free University of Berlin) as part of Horowitz semin
 ar on probability\, ergodic theory and dynamical systems\n\nLecture held i
 n 309.\n\nAbstract\nRandom walks in random environment have been extensive
 ly studied in the last half-century and invariance principles are known to
  hold in various cases. We shall discuss recent contributions\, where the 
 scaling limit is obtained in the rough path space for the lifted random wa
 lk. Except for the immediate application to stochastic differential equati
 ons\, this provides new information on the structure of the limiting path 
 - an enhanced Brownian motion with a linearly perturbed second level\, whi
 ch is characterized in various ways. Time permitting\, we shall elaborate 
 on the main tools to tackle these problems. Based on joint works with Olga
  Lopusanschi\, with Jean-Dominique Deuschel and Nicolas Perkowski and with
  Johaness Bäumler\, Noam Berger and Martin Slowik.\n
LOCATION:https://researchseminars.org/talk/HSPETDS/2/
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