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Large Deviations for Processes in Random Environments with Jumps


 
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1. Title Title of document Large Deviations for Processes in Random Environments with Jumps
 
2. Creator Author's name, affiliation, country Ivan Matic; Duke University; United States
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) large deviations; processes in random environments; deterministic walks in random environments.
 
3. Subject Subject classification Primary: 60F10; Secondary: 60G10.
 
4. Description Abstract A deterministic walk in a random environment can be understood as a general random process with finite-range dependence that starts repeating a loop once it reaches a site it has visited before. Such process lacks the Markov property. We study the exponential decay of the probabilities that the walk will reach sites located far away from the origin. We also study a similar problem for the continuous analogue: the process that is a solution to an ODE with random coefficients. In this second model the environment also has ``teleports'' which are the regions from where the process can make discontinuous jumps.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2011-11-23
 
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/962
 
10. Identifier Digital Object Identifier 10.1214/EJP.v16-962
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 16
 
12. Language English=en
 
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