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Scaling limits of recurrent excited random walks on integers
- 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
- Subjects :
- Statistics and Probability
60G50
random environment
60K37, 60F17, 60G50
Boundary (topology)
01 natural sciences
Measure (mathematics)
Combinatorics
010104 statistics & probability
symbols.namesake
Wiener process
perturbed Brownian motion
cookie walk
FOS: Mathematics
0101 mathematics
Scaling
Brownian motion
Mathematics
Branching process
Discrete mathematics
Probability (math.PR)
010102 general mathematics
Random walk
branching process
excited random walk
60K37
60F17
Bounded function
symbols
Statistics, Probability and Uncertainty
Mathematics - Probability
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Electron. Commun. Probab.
- Accession number :
- edsair.doi.dedup.....601d57033d232d3e2a1fb903bf052d14