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This paper is concerned with the factorization and equivalence problems of multivariate polynomial matrices. We present some new criteria for the existence of matrix factorizations for a class of mult...
We define Ptolemy coordinates for representations that are not necessarily boundary-unipotent. This gives rise to a new algorithm for computing the SL(2; C) Apolynomial, and more generally the ...
An elementary approach is shown which derives the value of the Gauss sum of a cubic char- acter over a finite field F2s without using Davenport-Hasse’s theorem (namely, if s is odd the Gauss sum is ...
We present a concept of uniform encodability of theories and develop tools related to this concept. As an application we obtain general undecidability results which are uniform for large families of s...
We discuss the ideal-adic semi-continuity problem for minimal log discrepancies by Mustat¸˘a. We study the purely log terminal case, and prove the semi-continuity of minimal log discrepanci...
We describe a duality for quantale-enriched categories that extends the Lawson duality for continuous dcpos: for any saturated class J of modules that commute with certain weighted limits, and under a...
We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits.
We introduce an information theoretic measure of statistical structure, called ‘binding informa-tion’, for sets of random variables, and compare it with several previously proposed measures in-cluding...
Let F(x) = P 2Nd Fx be a multivariate power series with complex coefficients that converges in a neighborhood of the origin. Assume F = G/H for some functions G and H holomorphic in a neighborhood ...
We construct left invariant quaternionic contact (qc) structures on Lie groups with zero and non-zero torsion and with non-vanishing quaternionic contact conformal curvature tensor, thus showing the ...
Six years after William Rowan Hamilton’s discovery of quaternions, in 1849 James Cockle introduced the algebra of split quaternions [Co]. (He called them “coquaternions.”) One way to define the spli...
We extend our previous study of quaternionic analysis based on representation theory to the case of split quaternions HR. The special role of the unit sphere in the classical quaternions H identified...
It is known that two number fields with the same Dedekind zeta function are not necessarily isomorphic. The zeta function of a number field can be interpreted as the partition function of an associa...
A manifold M with a foliation F is minimizable if there exists a Riemannian metric g on M such that every leaf of F is a minimal submanifold of (M, g).
Matei and Meyer proved that ‘simple quasicrystals’ are universal sets of sampling and interpolation for signals with a band-limited spectrum. We ask if the corresponding exponential system is a univer...

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