We study a class of tridiagonal matrix models, the " q-roots of unity " models, which includes the sign (q = 2) and the clock (q = ∞) models by Feinberg and Zee. We find that the eigenvalue densities are bounded by and have the symmetries of the regular polygon with 2q sides, in the complex plane. Furthermore the averaged traces of M k are integers that count closed random walks on the line, su...

We propose explicit recipes to construct the euclidean Green functions of gauge– invariant charged, monopole and dyon fields in four–dimensional gauge theories whose phase diagram contains phases with deconfined electric and/or magnetic charges. In theories with only either abelian electric or magnetic charges, our construction is an euclidean version of Dirac's original proposal, the magnetic ...

A Heyting algebra is a distributive lattice with implication and a dual $BCK$-algebra is an algebraic system having as models logical systems equipped with implication. The aim of this paper is to investigate the relation of Heyting algebras between dual $BCK$-algebras. We define notions of $i$-invariant and $m$-invariant on dual $BCK$-semilattices and prove that a Heyting semilattice is equiva...

The paper discusses the importance of agriculture to a people, its economy and its place at achieving food security for nations, Nigeria Inclusive. Furthermore, it talked about food security and insecurity and its indices. It delved into prospects for increased agricultural production and how this can be achieved. Again, it discussed efforts that have been put in place by past Nigerian governme...

We study the empirical measure L A n of the eigenvalues of non-normal square matrices of the form A n = U n D n V n with U n ,V n independent Haar distributed on the unitary group and D n real diagonal. We show that when the empirical measure of the eigenvalues of D n converges, and D n satisfies some technical conditions, L A n converges towards a rotationally invariant measure on the complex ...

changes in their policies and in the way they do business. The U.S. Congress established the East-West Center in 1960 to foster mutual understanding and cooperation among the governments and peoples of the Asia Pacific region, including the United States. Funding for the Center comes from the U.S. government with additional support provided by private agencies, individuals, corporations, and As...

We study the possibility that charge breaking minima occur in the Zee model. We reach very different conclusions from those attained in simpler, two Higgs doublet models, and the reason for this is traced back to the existence of cubic terms in the potential. A scan of the Zee model’s parameter space shows that CB is restricted to a narrow region of values of the parameters.

The research for this report was produced under the auspices of the IFS Savings Consortium, to whom the authors are grateful for financial assistance and many useful discussions and comments in the series of seminars over the last four years. The members of the IFS Savings Consortium are: Acknowledgements The research in this report was funded by the IFS Savings Consortium and co-funded by the ...

Many people have noted that the Government keeps buying software−intensive systems that are often quite similar to each other. A recent article in Crosstalk1, for example, listed a large number of different systems in the DoD C4I application area that performed essentially the same functions. Several DoD sponsored studies, most notably one done by the Air Force PRISM program, have shown that 70...

is finite. Assume that the analytic function u(r, x) can be continued across some arc of the boundary of the unit circle. Then the ak are equal, beyond some point, to the terms of a periodic sequence. A number of generalizations and related results have been published [2; 3; 4; 5; 9], of which we mention in particular that of Duffin and Schaeffer [4]; these authors replace the hypothesis that u...