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Random walks veering left


 
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1. Title Title of document Random walks veering left
 
2. Creator Author's name, affiliation, country Raoul Normand; Academia Sinica, Taipei, Taiwan; Taiwan, Province of China
 
2. Creator Author's name, affiliation, country Bálint Virág; University of Toronto; Canada
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Random walk ; Hausdorff dimension ; coupling ; random matrix ; Gaussian analytic function
 
3. Subject Subject classification 60G50; 60B20
 
4. Description Abstract We study coupled random walks in the plane such that, at each step, the walks change direction by a uniform random angle plus an extra deterministic angle $\theta$. We compute the Hausdorff dimension of the $\theta$ for which the walk has an unusual behavior. This model is related to a study of the spectral measure of some random matrices. The same techniques allow to study the boundary behavior of some Gaussian analytic functions.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) Canada Research Chair ; NSERC DAS programs
 
7. Date (YYYY-MM-DD) 2013-10-21
 
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/2523
 
10. Identifier Digital Object Identifier 10.1214/EJP.v18-2523
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 18
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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