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Renormalizations of Branching Random Walks in Equilibrium


 
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1. Title Title of document Renormalizations of Branching Random Walks in Equilibrium
 
2. Creator Author's name, affiliation, country Iljana Zähle; Universität Erlangen-Nürnberg
 
3. Subject Discipline(s) Mathematics
 
3. Subject Keyword(s) Renormalization,branching random walk, Green's function ofrandom walks, Palmdistribution
 
3. Subject Subject classification 60K35
 
4. Description Abstract We study the $d$-dimensional branching random walk for $d>2$. This process has extremal equilibria for every intensity. We are interested in the large space scale and large space-time scale behavior of the equilibrium state. We show that the fluctuations of space and space-time averages with a non-classical scaling are Gaussian in the limit. For this purpose we use the historical process, which allows a family decomposition. To control the distribution of the families we use the concept of canonical measures and Palm distributions.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2001-12-03
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/106
 
10. Identifier Digital Object Identifier 10.1214/EJP.v7-106
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 7
 
12. Language English=en en
 
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