EJP Reading Tools

Time Correlations for the Parabolic Anderson Model

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Time Correlations for the Parabolic Anderson Model
2.	Creator	Author's name, affiliation, country	Jürgen Gärtner; Technische Universität Berlin; Germany
2.	Creator	Author's name, affiliation, country	Adrian Schnitzler; Technische Universität Berlin; Germany
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Parabolic Anderson model; Anderson Hamiltonian; random potential; time correlations; annealed asymptotics; intermittency; ageing
3.	Subject	Subject classification	Primary 60K37, 82C44; Secondary 60H25
4.	Description	Abstract	We derive exact asymptotics of time correlation functions for the parabolic Anderson model with homogeneous initial condition and time-independent tails that decay more slowly than those of a double exponential distribution and have a finite cumulant generating function. We use these results to give precise asymptotics for statistical moments of positive order. Furthermore, we show what the potential peaks that contribute to the intermittency picture look like and how they are distributed in space. We also investigate for how long intermittency peaks remain relevant in terms of ageing properties of the model.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)	DFG International Research Training Group
7.	Date	(YYYY-MM-DD)	2011-08-20
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/917
10.	Identifier	Digital Object Identifier	10.1214/EJP.v16-917
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 16
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
15.	Rights	Copyright and permissions	The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free to copy, distribute, display, and perform the work to make derivative works to make commercial use of the work under the following condition of Attribution: others must attribute the work if displayed on the web or stored in any electronic archive by making a link back to the website of EJP via its Digital Object Identifier (DOI), or if published in other media by acknowledging prior publication in this Journal with a precise citation including the DOI. For any further reuse or distribution, the same terms apply. Any of these conditions can be waived by permission of the Corresponding Author.