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Long time behavior for motion in random media

Long time behavior for motion in random media

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.
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Coordinator

THE HEBREW UNIVERSITY OF JERUSALEM

Address

Edmond J Safra Campus Givat Ram
91904 Jerusalem

Israel

Activity type

Higher or Secondary Education Establishments

EU Contribution

€ 100 000

Administrative Contact

Eran Vardi (Dr.)

Project information

Grant agreement ID: 231050

Status

Closed project

  • Start date

    1 September 2008

  • End date

    31 August 2012

Funded under:

FP7-PEOPLE

  • Overall budget:

    € 100 000

  • EU contribution

    € 100 000

Coordinated by:

THE HEBREW UNIVERSITY OF JERUSALEM

Israel