The stochastic reflection problem on an infinite dimensional convex set and BV functions in a Gelfand triple

In this paper, we introduce a definition of BV functions in a Gelfand triple which is an extension of the definition of BV functions in [2] by using Dirichlet form theory. By this definition, we can consider the stochastic reflection problem associated with a self-adjoint operator $A$ and a cylindrical Wiener process on a convex set $\Gamma$ in a Hilbert space $H$. We prove the existence and uniqueness of a strong solution of this problem when $\Gamma$ is a regular convex set. The result is also extended to the non-symmetric case. Finally, we extend our results to the case when $\Gamma=K_\alpha$, where $K_\alpha={f\in L^2 (0,1)|f\geq -\alpha},\alpha\geq0$

On Determining Minimal Spectrally Arbitrary Patterns

In this paper we present a new family of minimal spectrally arbitrary patterns which allow for arbitrary spectrum by using the Nilpotent-Jacobian method. The novel approach here is that we use the Intermediate Value Theorem to avoid finding an explicit nilpotent realization of the new minimal spectrally arbitrary patterns.Comment: 8 page

Evaluation of advanced fast reactor blanket designs

Originally presented as the first author's thesis, (Sc. D.)--in the M.I.T. Dept. of Nuclear Engineering, 1977Includes bibliographical references (p. 321-325)ERDA research and development E(11-1)-2250 UC-79P LMFBR-Physic

A significant moment . . .? : University Television, Aberdeen

Acknowledgements In producing this paper I would like to thank Paul Logie and Mary Sabiston from the Special Collections Department of the Sir Duncan Rice Library at the University of Aberdeen for considerable help in sifting through uncatalogued papers pertaining to the Television Service during the 1970s and early 1980s, Alan Grimley for vetting the article for Television Service accuracy, Iain Harold, current Manager of the University’s Media Services department for information concerning audio-visual provision today, and Dr Sara Preston for distance-learning particulars at the University. Nevertheless, any errors are entirely my responsibility as author.Peer reviewedPublisher PD

Developing Restorative Justice in an SEBD school : Is a sair face really better than a red face?

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The Journey from Interested Spectator to Active Researcher. A Practice-based Case Study on the Development and Support of Early Career Researchers at the University of the Highlands and Islands

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