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On the existence of a time inhomogeneous skew Brownian motion and some related laws

  
@article{EJP1858,
	author = {Pierre Étoré and Miguel Martinez},
	title = {On the existence of a time inhomogeneous skew Brownian motion and some related laws},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {17},
	year = {2012},
	keywords = {Skew Brownian motion ; Local time ; Straddling excursion},
	abstract = {This article is devoted to the construction of a solution for the "skew inhomogeneous Brownian motion" equation, which first appear in a seminal paper by Sophie Weinryb (1983). We investigate some laws related to the constructed process. In particular, using the description of the straddling excursion above a deterministic time, we compute the joint law of the process, its local time and its straddling time.},
	pages = {no. 19, 1-27},
	issn = {1083-6489},
	doi = {10.1214/EJP.v17-1858},    
        url = {http://ejp.ejpecp.org/article/view/1858}}