BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:Random walk in a non-integrable random scenery time.
DTSTART;VALUE=DATE-TIME:20190410T121000Z
DTEND;VALUE=DATE-TIME:20190410T130000Z
DTSTAMP;VALUE=DATE-TIME:20200811T045311Z
UID:indico-contribution-3664@indico.math.cnrs.fr
DESCRIPTION:Speakers: Alessandra Bianchi ()\nIn this talk we consider a on
e-dimensional process in random\nenvironment\, also known in the physical
literature as Levy-Lorentz gas. The environment is provided by a renewal
point process that can be seen as a set of randomly arranged targets\, w
hile the process roughly describes the displacement\nof a particle moving
on the line at constant velocity\, and changing direction at the targets p
osition with assigned probability.\nWe investigate the annealed behavior o
f this process in the case of inter-distances between targets having infin
ite mean\, and establish\, under suitable scaling\, a functional limit th
eorem for the process. In particular we show that\, contrary to the finite
mean case\, the behavior of the motion is super- diffusive with explicit
scaling limit related to the Kesten-Spitzer process.\nThe key element of t
he proof is indeed a representation of the consecutive "hitting times on
the set of targets" as a suitable random walk in random scenery.\n\nhttps
://indico.math.cnrs.fr/event/4251/contributions/3664/
LOCATION:Villa Finaly
URL:https://indico.math.cnrs.fr/event/4251/contributions/3664/
END:VEVENT
END:VCALENDAR