Derrida et al. and Schütz and Stinchcombe gave algebraic formulas for the correlation functions of the partially asymmetric simple exclusion process. Here we give a fairly general recipe of how to get these formulas and extend them to the whole time evolution (starting from the generator of the process), for a certain class of interacting systems. We then analyze the algebraic relations obtaine...

We give a Riemann–Hilbert approach to the theory of matrix orthogonal polynomials. We will focus on the algebraic aspects of the problem, obtaining difference and differential relations satisfied by the corresponding orthogonal polynomials. We will show that in the matrix case there is some extra freedom that allows us to obtain a family of ladder operators, some of them of 0-th order, somethin...

The matrix elements of the quadrupole collective variables, emerging from collective nuclear models, are calculated in the natural Cartan-Weyl basis of O(5) which is a subgroup of a covering SU (1, 1) × O(5) structure. Making use of an intermediate set method, explicit expressions of the matrix elements are obtained in a pure algebraic way, fixing the γ-rotational structure of collective quadru...

0 Introduction We consider algebraic surfaces Y ⊂ IP3(C). A cusp (=singularity A2) on Y is a singularity near which the surface is given in local (analytic) coordinates x, y and z, centered at the singularity, by an equation xy − z = 0. This is an isolated quotient singularity C2/ZZ3. A set P1, ..., Pn of cusps on Y is called 3-divisible, if there is a cyclic global triple cover of Y branched p...

The nonlinear trajectory and bistatic characteristics of general synthetic aperture radar (SAR) can cause severe two-dimensional space-variance in the echo signal, therefore it is difficult to focus signal directly using traditional frequency-domain imaging algorithm based on assumption azimuth translational invariance. At present, state-of-the-art singular value decomposition (SVD), which has ...