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13 papers · 1 filter
Banach function algebras with dense invertible group
H. G. Dales, J. F. Feinstein
In an earlier paper, Dawson and the second author asked whether or not a Banach function algebra with dense invertible group can have a proper Shilov boundary. We give an example o…
The SCUBA Local Universe Galaxy Survey: Results from the Optically-Selected Sample
Catherine Vlahakis, Loretta Dunne, Stephen Eales
We present new results from the SCUBA Local Universe Galaxy Survey, the first large statistical submillimetre survey of the local Universe. Following our initial survey of a sample…
Solvable senescence model with positive mutations
J. B. Coe, Y. Mao, M. E. Cates
We build upon our previous analytical results for the Penna model of senescence to include positive mutations. We investigate whether a small but non-zero positive mutation rate gi…
The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology
Nikolaos Diamantis, Cormac O'Sullivan
Second-order automorphic forms are similar to the usual automorphic forms but have a weaker automorphy condition. We answer a question of Zagier and find the dimensions of spaces o…
Extensions of endomorphisms of C(X)
J. F. Feinstein, T. J. Oliver
For a compact space X we consider extending endomorphisms of the algebra C(X) to be endomorphisms of Arens-Hoffman and Cole extensions of C(X). Given a non-linear, monic polynomial…
Glassy behaviour in an exactly solved spin system with a ferromagnetic transition
Robert L. Jack, Juan P. Garrahan, David Sherrington
We show that applying simple dynamical rules to Baxter's eight-vertex model leads to a system which resembles a glass-forming liquid. There are analogies with liquid, supercooled l…