Brown and Gordon asked whether the Poisson Dixmier-Moeglin equivalence holds for any complex affine Poisson algebra; that is, whether the sets of Poisson rational ideals, Poisson primitive ideals, and Poisson locally closed ideals coincide. In this article a complete answer is given to this question using techniques from differential-algebraic geometry and model theory. In particular, it is sho...

We investigate divergence-type theories describing the disipative interaction betwen a field and a fluid. We look for theories which, under equilibrium conditions, reduce to the theory of a Klein-Gordon scalar field and a perfect fluid. We show that the requirements of causality and positivity of entropy production put non-trivial constraints to the structure of the interaction terms. These the...

(1) f(x) = x+o(x) . The problem is discussed explicitly by Landau ([7], pp . 597-604 ; [8]), Ingham ([3]), Karamata ([5], [6]), Gordon ([1]), and is implicit in the 'Eratosthenian' summation method introduced by Wintner ([10], [11]) . In this paper we consider the analogous problem in which the sequence {n} of all positive integers is replaced by a finite or infinite sequence 1, a,, a2, . . . o...

The sine-Gordon Y-systems and those of the minimal M p,q + φ 13 models are determined in a compact form and a correspondence between the rational numbers and a new infinite family of multi-parameter functional equations for the Rogers dilogarithm is pointed out. The relation between the TBA-duality and the massless RG fluxes in the minimal models recently conjectured is briefly discussed.

We prove that the Maxwell-Klein-Gordon system on R1þ4 relative to the Coulomb gauge is locally well-posed for initial data in H1þ" for all " > 0. This builds on previous work by Klainerman and Machedon who proved the corresponding result, with the additional restriction of small-norm data, for a model problem obtained by ignoring the elliptic features of the system, as well as cubic terms.

Binomial versions of the Andrews-Gordon-Bressoud identities are given.

Much of the conventional wisdom stems from Friedman’s (1968a; 1968b) informal discussions and Cagan’s (1972) reduced-form evidence on how nominal interest rates respond to a permanent change in money growth. According to that wisdom, the interest rate response is broken into a “short-run,” a “medium-run,” and a “long-run” response. In the short run, when wages, prices, and portfolios do not adj...

Editor's Note: Perhaps the best definition of a classic in science is a publication that redefines or initiates a field of scientific inquiry. Rarely is that contribution made by a review article, but such was the case with the article excerpted below, which was expanded into a World Health Organization monograph (WHO Monograph Series no. 57, Geneva, 1968). The many hundreds of articles reviewe...

N. Kaplis,1 F. Krüger,2,3 and J. Zaanen1 1Instituut-Lorentz for Theoretical Physics, Leiden University, Niels Bohrweg 2, Leiden 2333 CA, Netherlands 2London Centre for Nanotechnology, University College London, Gordon Street, London WC1H 0AH, United Kingdom 3ISIS Facility, Rutherford Appleton Laboratory, Chilton, Didcot, Oxon OX11 0QX, United Kingdom (Received 9 May 2016; revised manuscript rec...

We consider the sine-Gordon model on a half-line, with an additional potential term of the form −M cos β2 (φ − φ0) at the boundary. We compute the classical time delay for general values of M , β and φ0 using τ -function methods and show that in the classical limit, the method of images still works, despite the non-linearity of the problem. We also perform a semi-classical analysis, and find ag...