Power law Polya’s urn and fractional Brownian motion

We introduce a natural family of random walks S[subscript n] on Z that scale to fractional Brownian motion. The increments X[subscript n] := S[subscript n] − S[subscript n]−1 ∈ {±1} have the property that given {X[subscript k] : k < n}, the conditional law of X[subscript n] is that of X[subscript...

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Bibliographic Details
Main Authors: Hammond, Alan, Sheffield, Scott Roger
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Springer-Verlag 2015
Online Access:http://hdl.handle.net/1721.1/93178
https://orcid.org/0000-0002-5951-4933