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Renormalizations of Branching Random Walks in Equilibrium

   
@article{EJP106,
	author = {Iljana Zähle},
	title = {Renormalizations of Branching Random Walks in Equilibrium},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {7},
	year = {2001},
	keywords = {Renormalization,branching random walk, Green's function ofrandom walks, Palmdistribution},
	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.},
	pages = {no. 7, 1-57},
	issn = {1083-6489},
	doi = {10.1214/EJP.v7-106},    
        url = {http://ejp.ejpecp.org/article/view/106}}