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Scaling limits of recurrent excited random walks on integers

Authors :
Elena Kosygina
Dmitry Dolgopyat
Source :
Electron. Commun. Probab.
Publication Year :
2012

Abstract

We describe scaling limits of recurrent excited random walks (ERWs) on integers in i.i.d. cookie environments with a bounded number of cookies per site. We allow both positive and negative excitations. It is known that ERW is recurrent if and only if the expected total drift per site, delta, belongs to the interval [-1,1]. We show that if |delta<br />12 pages

Details

Language :
English
Database :
OpenAIRE
Journal :
Electron. Commun. Probab.
Accession number :
edsair.doi.dedup.....601d57033d232d3e2a1fb903bf052d14