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Due to run size constraints, near-orthogonal arrays (near-OAs) and sup ersaturated designs, a sp ecial case of near-OA, are considered go o d alternatives to OAs. This pap er shows (i) a combinatoria...
Let $A$ be an infinite set. Let $\Omega(A)$ be the algebra over $A$ where every constant is a fundamental constant and every finitary function is a fundamental operation. We shall give a method of rep...
In 1989, Lescure and Meyniel proved, for $d=5, 6$, that every $d$-chromatic graph contains an immersion of $K_d$, and in 2003 Abu-Khzam and Langston conjectured that this holds for all $d$. In 2010, D...
This note is a gentle introduction to higher dimensional local fields, with the motivating problem being the standard geometric "localisation-completion" process by which they can be constructed. A di...
Abstract: In a previous paper I proposed a notion of $(\omega_1,\beta)$-morasses for $\omega_1 \leq \beta$. In the present paper such morasses are constructed in an inner model which satisfies amenabi...
Abstract: The Schur-Horn Theorem states that there exists a self-adjoint matrix with a given spectrum and diagonal if and only if the spectrum majorizes the diagonal. Though the original proof of this...
Abstract: Much work has been done on the existence and uniqueness of broken Lefschetz fibrations such as those by Auroux et al., Gay and Kirby, Lekili, Akbulut and Karakurt, Baykur, and Williams, but ...
The k-pair problem in network coding theory asks to send k messages simultaneously between k source-target pairs over a directed acyclic graph. In a previous paper [ICALP 2009, Part I, pages 622–633]...
A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solution of the boundary value prob-lem for the transport of radiation in the half-space o...
Given two elliptic curves over a finite field having the same cardinality and endomorphism ring, it is known that the curves admit an isogeny between them, but finding such an isogeny is believed to ...
Let a and b be positive integers and let p be an odd prime such that p =ax2+by2 for some integers x and y.
Random matrix models of disordered bosons consist of matrices in the Lie algebra g = spn(R). Assuming dynamical stability, their eigenvalues are required to be purely imaginary.
A class of non-Dirac-hermitian many-particle quantum systems admit-ting entirely real spectra and unitary time-evolution is presented. These quantum models are isospectral with Dirac-hermitian systems...
Light-sensitive modification (ruthenium catalysed) of the Belousov-Zhabotinsky medium exhibits various regimes of excitability depending on the levels of illumination. For certain values of illuminati...

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