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A counterexample for the optimality of Kendall-Cranston coupling

  
@article{ECP1160,
	author = {Kazumasa Kuwada and Karl-Theodor Sturm},
	title = {A counterexample for the optimality of Kendall-Cranston coupling},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {12},
	year = {2007},
	keywords = {Brownian motion; manifold; optimal coupling; Kendall-Cranston coupling},
	abstract = {We construct a Riemannian manifold where the Kendall-Cranston coupling of two Brownian particle does not maximize the coupling probability.},
	pages = {no. 8, 66-72},
	issn = {1083-589X},
	doi = {10.1214/ECP.v12-1160},    
        url = {http://ecp.ejpecp.org/article/view/1160}}