Objective 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. Keywords Corrector Quenched invariance principle Random environment Random walk Supercritical percolation ballisticity point of view of the particle Programme(s) FP7-PEOPLE - Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) Topic(s) PEOPLE-2007-4-3.IRG - Marie Curie Action: "International Reintegration Grants" Call for proposal FP7-PEOPLE-IRG-2008 See other projects for this call Funding Scheme MC-IRG - International Re-integration Grants (IRG) Coordinator THE HEBREW UNIVERSITY OF JERUSALEM EU contribution € 100 000,00 Address EDMOND J SAFRA CAMPUS GIVAT RAM 91904 Jerusalem Israel See on map Activity type Higher or Secondary Education Establishments Administrative Contact Eran Vardi (Dr.) Links Contact the organisation Opens in new window Website Opens in new window Total cost No data
