Some results in probability from the functional analytic viewpoint

Graduate Thesis Or Dissertation

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Citeable URL: https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/6h440w87f

Descriptions

Attribute Name	Values
Creator	Gelbaum, Zachary A.
Abstract	This dissertation presents some results from various areas of probability theory, the unifying theme being the use of functional analytic intuition and techniques. We first give a result regarding the existence of certain stochastic integral representations for Banach space valued Gaussian random variables. Next we give a spectral geometric construction of Gaussian random fields over various manifolds that generalize classical fractional Brownian motion. Lastly we present a result describing the limiting distribution for the largest eigenvalue of a product of two random matrices from the β-Laguerre ensemble.
License	All rights reserved
Resource Type	Dissertation
Date Available	2013-05-15T23:03:01+00:00
Date Issued	2013-04-17
Degree Level	Doctoral
Degree Name	Doctor of Philosophy (Ph.D.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2013
Advisor	Parks, Harold R.
Committee Member	Kovchegov, Yevgeniy Finch, David Showalter, Ralph
Academic Affiliation	Mathematics
Non-Academic Affiliation	Oregon State University. Graduate School
Subject	Random fields Gaussian processes Eigenvalues Brownian motion processes Functional analysis
Rights Statement	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/38592

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