Thäle, Christoph 2009 We study linear combinations of independent fractional Brownian motions and generalize several recent results from [10] and [17]. As a first new result we calculate explicitly the Hausdorff dimension of the sample paths of such processes. Moreover we compare different notions of fractional differentiability and calculate as a second new result explicitly the Cesáro fractional derivative of the critical oder. Moreover we consider the more interesting absolute Cesáro fractional derivative and calculate its value explicitly. application/pdf https://folia.unifr.ch/global/documents/301263 https://folia.unifr.ch/documents/301263/files/thale_fbm.pdf eng http://www.m-hikari.com/ams/ams-password-2009/ams-password37-40-2009/thaleAMS37-40-2009.pdf info:eu-repo/semantics/openAccess License undefined Applied Mathematical Sciences. - 2009, vol. 38, p. 1885-1901 info:eu-repo/classification/udc/51 Further remarks on mixed fractional Brownian motion http://purl.org/coar/resource_type/c_6501