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SUMMARY:CLT for a class of random walks in dynamic random environments - A
 ugusto Teixeira (IMPA - Instituto Nacional de Matemática Pura e Aplicada\
 , Rio de Janeiro)
DTSTART:20240711T143000Z
DTEND:20240711T153000Z
UID:TALK215614@talks.cam.ac.uk
DESCRIPTION:This talk will start with a brief overview of some recent deve
 lopments in the study ofrandom walks in dynamic random environments. Then 
 we will present a new result that providesa CLT for a family of environmen
 ts that mix fast\, but non-uniformly. The proof of the result isbased on w
 hat we call the Random Markov Property. Roughly speaking\, this technique 
 involvesthe positioning of traps throughout the environment\, insuch a way
  that\, when the random walksteps over one of them\, it sees an independen
 t future. Finally we will present some openproblems of the area that we be
 lieve to be exciting and promising.\nThis talk is based on a joint work wi
 th Julien Allasia\, Rangel Baldasso and Oriane Blondel.
LOCATION:Seminar Room 1\, Newton Institute
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