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Indicator fractional stable motions


 
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1. Title Title of document Indicator fractional stable motions
 
2. Creator Author's name, affiliation, country Paul H Jung; Sogang University
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) fractional Brownian motion; random walk in random scenery; random reward schema; local time fractional stable motion; self-similar process; stable process
 
3. Subject Subject classification 60G52; 60G22; 60G18
 
4. Description Abstract Using the framework of random walks in random scenery, Cohen and Samorodnitsky (2006) introduced a family of symmetric $\alpha$-stable motions called local time fractional stable motions. When $\alpha=2$, these processes are precisely fractional Brownian motions with $1/2 < H < 1$. Motivated by random walks in alternating scenery, we find a complementary family of symmetric $\alpha$-stable motions which we call indicator fractional stable motions. These processes are complementary to local time fractional stable motions in that when $\alpha=2$, one gets fractional Brownian motions with $0 < H < 1/2$.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Research supported in part by Sogang University Research Grant 200910039
 
7. Date (YYYY-MM-DD) 2011-03-27
 
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/1611
 
10. Identifier Digital Object Identifier 10.1214/ECP.v16-1611
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 16
 
12. Language English=en
 
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