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Long time behavior for motion in random media

Obiettivo

Models of random motion in random media have received significant scientific attention in the past 30 years. The interest in these models stems from two main reasons: (1) In physics, most processes of diffusion take place in environments that are not regular. Thus the standard theory of random motion does not necessarily apply to them, and a new methodology needs to be created. (2) These models, despite their simplicity, pose a challenging Mathematical difficulty, because the traditional methods used for studying random motion rely strongly on the regularity of the medium. The proposed project is aimed at achieving a number of goals: (1) quantifying the slowdown effect of the random medium, and more precisely determine what type of random traps provide the most significant slowdown of the particle. (2) Understand the scaling limit of the motion of the particle. In particular, determine when a central limit theorem holds and when it doesn't.

Invito a presentare proposte

FP7-PEOPLE-IRG-2008
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Coordinatore

THE HEBREW UNIVERSITY OF JERUSALEM
Contributo UE
€ 100 000,00
Indirizzo
EDMOND J SAFRA CAMPUS GIVAT RAM
91904 Jerusalem
Israele

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Tipo di attività
Higher or Secondary Education Establishments
Contatto amministrativo
Eran Vardi (Dr.)
Collegamenti
Costo totale
Nessun dato