LIMITTRANDOMMEDIA

Limit theorems for processes in random media

Coordinatore	TECHNISCHE UNIVERSITAET MUENCHEN    more Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie.
Nazionalità Coordinatore	Germany [DE]
Totale costo	504˙000 €
EC contributo	504˙000 €
Programma	FP7-IDEAS-ERC Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	ERC-2009-StG
Funding Scheme	ERC-SG
Anno di inizio	2009
Periodo (anno-mese-giorno)	2009-11-01   -   2014-10-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	THE HEBREW UNIVERSITY OF JERUSALEM.  Organization address address: GIVAT RAM CAMPUS city: JERUSALEM postcode: 91904 contact info Titolo: Ms. Nome: Jane Cognome: Turner Email: send email Telefono: +972 2 6586676 Fax: +972 2 6513205	IL (JERUSALEM)	beneficiary	290˙587.44
2	TECHNISCHE UNIVERSITAET MUENCHEN  Organization address address: Arcisstrasse 21 city: MUENCHEN postcode: 80333 contact info Titolo: Dr. Nome: Noam Cognome: Berger Email: send email Telefono: +49 89 289 18781 Fax: +49 89 289 18782	DE (MUENCHEN)	hostInstitution	213˙412.55
3	TECHNISCHE UNIVERSITAET MUENCHEN  Organization address address: Arcisstrasse 21 city: MUENCHEN postcode: 80333 contact info Titolo: Ms. Nome: Ulrike Cognome: Ronchetti Email: send email Telefono: +49 89 289 22616 Fax: +49 89 289 22620	DE (MUENCHEN)	hostInstitution	213˙412.55

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 Obiettivo del progetto (Objective)

'Classical random walks (CRW) have been studied for centuries, and very detailed information is known about them. However, most of the techniques for studying CRW are based on the complete regularity and the group structure of the medium. When modeling real world phenomena, this regularity assumption rarely holds, and therefore CRW is not a sufficient model. As a result, a number of non-classical models of random walk have been suggested. These models are believed to better model actual natural processes. One of the most studied of non-classical random walk models is random walk in random environment (RWRE). In RWRE the medium ("environment") in which the process takes place is random, and the law of the random walk varies as a function of the location. RWRE can model, for instance, the motion of an electron in an alloy, the movement of enzymes along a DNA sequence and many other processes. Since the CRW methodology does not work for RWRE (and, in fact, neither for other non-classical models of random walk), new methodology needed to be developed. The purpose of this project is to contribute to the study of RWRE by improving the existing methods and by developing new ones. We will work on some of the most important problems in the field, namely convergence and rate of convergence to Brownian motion for various RWRE models (e.g. reversible, perturbative and others), trapping and slowdown for RWRE models (e.g. ballistic and perturbative), ballisticity conditions, zero-one laws, and others. The output of this project is expected to contribute significantly to the understanding of RWRE systems.'