Fractional Brownian fields over manifolds

Citeable URL: https://ir.library.oregonstate.edu/concern/articles/7p88cj275

Descriptions

Attribute Name	Values
Creator	Gelbaum, Zachary A.
Abstract	Extensions of the fractional Brownian fields are constructed over a complete Riemannian manifold. This construction is carried out for the full range of the Hurst parameter α ∈ (0, 1). In particular, we establish existence, distributional scaling (self-similiarity), stationarity of the increments, and almost sure H¨older continuity of sample paths. Stationary counterparts to these fields are also constructed.
Resource Type	Article
DOI	https://doi.org/10.1090/S0002-9947-2014-06106-0
Date Available	2014-12-18T18:51:30+00:00
Date Issued	2014-09
Citation	Gelbaum, Z. (2014). Fractional Brownian fields over manifolds. Transactions of the American Mathematical Society, 366(9), 4781-4814. doi:10.1090/S0002-9947-2014-06106-0
Journal Title	Transactions of the American Mathematical Society
Journal Volume	366
Journal Issue/Number	9
Rights Statement	Copyright Not Evaluated
Related Items	This is the publisher’s final pdf. The published article is copyrighted by the American Mathematical Society.
Publisher	American Mathematical Society
Peer Reviewed	Yes
Language	English [eng]
Replaces	http://hdl.handle.net/1957/54728