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The scaling limit of senile reinforced random walk.

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	The scaling limit of senile reinforced random walk.
2.	Creator	Author's name, affiliation, country	Mark P Holmes; University of Auckland
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)
4.	Description	Abstract	This paper proves that the scaling limit of nearest-neighbour senile reinforced random walk is Brownian Motion when the time T spent on the first edge has finite mean. We show that under suitable conditions, when T has heavy tails the scaling limit is the so-called fractional kinetics process, a random time-change of Brownian motion. The proof uses the standard tools of time-change and invariance principles for additive functionals of Markov chains.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2009-02-19
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1449
10.	Identifier	Digital Object Identifier	10.1214/ECP.v14-1449
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 14
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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