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Random walks veering left

  
@article{EJP2523,
	author = {Raoul Normand and Bálint Virág},
	title = {Random walks veering left},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {18},
	year = {2013},
	keywords = {Random walk ; Hausdorff dimension ; coupling ; random matrix ; Gaussian analytic function},
	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.
}, pages = {no. 89, 1-25}, issn = {1083-6489}, doi = {10.1214/EJP.v18-2523}, url = {http://ejp.ejpecp.org/article/view/2523}}