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math.PR2016★ 2 cited
On the existence of fractional Brownian fields indexed by manifolds with closed geodesics
Nil Venet
We give a necessary condition of geometric nature for the existence of the -fractional Brownian field indexed by a Riemannian manifold. In the case of the Lévy Brownian field ($…
math.PR2016
Nonexistence of fractional Brownian fields indexed by cylinders
Nil Venet
We show in this paper that there exists no -fractional Brownian field indexed by the cylinder endowed with its product distance for any…