126 citations · 656 across the 18 of their papers we have counts for
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math.PR2011★ 3 cited
From constructive field theory to fractional stochastic calculus. (II) Constructive proof of convergence for the Lévy area of fractional Brownian motion with Hurst index
Jacques Magnen, Jérémie Unterberger
{Let be a -dimensional fractional Brownian motion with Hurst index , or more generally a Gaussian process whose paths have the same local regulari…
math.PR2010★ 5 cited
From constructive field theory to fractional stochastic calculus. (I) An introduction: rough path theory and perturbative heuristics
Jacques Magnen, Jérémie Unterberger
Let be a -dimensional fractional Brownian motion with Hurst index , or more generally a Gaussian process whose paths have the same local regular…
math.PR2010★ 1 cited
From constructive field theory to fractional stochastic calculus. (I) The Lévy area of fractional Brownian motion with Hurst index
J. Magnen, J. Unterberger
Let be a -dimensional fractional Brownian motion with Hurst index . Defining properly iterated integrals of is a difficult task because of…