Hasil untuk "q-bio.SC"

J. Poterba, Lawrence H. Summers

Taekyun Kim

The purpose of this paper is to present a systemic study of some families of multiple q-Euler numbers and polynomials and we construct multiple q-zeta functions which interpolate multiple q-Euler numbers at a negative integer. This is a partial answer to the open question in a previous publication (see Kim et al 2001 J. Phys. A: Math. Gen. 34 7633–8).

F. Rosenberger, C. Molnar, T. J. Chaney et al.

K. Dennis

S. Kasuya, M. Kawasaki

We present the full nonlinear calculation of the formation of a Q-ball through the Affleck-Dine (AD) mechanism by numerical simulations. It is shown that large Q-balls are actually produced by the fragmentation of the condensate of a scalar field whose potential is very flat. We find that the typical size of a Q-ball is determined by the most developed mode of linearized fluctuations, and almost all the initial charges which the AD condensate carries are absorbed into the formed Q-balls, whose sizes and the charges depend only on the initial charge densities.

A. Garsia, J. Remmel

J. Papapolymerou, Jui-Ching Cheng, J. East et al.

R. Askey

C. Quesenberry

J. Havskov, S. Malone, D. McClurg et al.

J. Hager, J. C. Yves Le Blanc

E. Sutinen, J. Tarhio

A. Kusenko

Abstract We develop an adequate description of non-topological solitons with a small charge, for which the thin-wall approximation is not valid. There is no classical lower limit on the charge of a stable Q ball. We examine the parameters of these smallcharge solitons and discuss the limits of applicability of the semiclassical approximation.

Ricardo J. Caballero, Ricardo J. Caballero, John Leahy et al.

L. Gravano, Panagiotis G. Ipeirotis, H. V. Jagadish et al.

M. Kapranov

This is an attempt to generalize some basic facts of homological algebra to the case of "complexes" in which the differential satisfies the condition $d^N=0$ instead of the usual $d^2=0$. Instead of familiar sign factors, the constructions related to such "N-complexes" involve powers of q where q is a primitive Nth root of 1. We show that the homology (in a natural sense) of an N-complex is an $(N-1)$-complex which is $(N-1)$-exact, and the role of the Euler characteristic is played by the trigonometric sum $\sum q^i \dim(C^i)$. By q-deforming the de Rham differential we develop a version of the theory of differential forms which is coordinate-dependent but covariant with respect to a natural Hopf algebra. In particular, there is a meaningful formalism of connections with the curvature being an N-form given by the N th power of the covariant derivative. For $N=3$ the expression for the curvature is very similar to the Chern-Simons functional. This text was written in 1991.

Paul M. Terwilliger

Abstract Let K denote a field, and let V denote a vector space over K with finite positive dimension. We consider a pair of linear transformations A : V → V and A * : V → V that satisfy the following two conditions: (i) There exists a basis for V with respect to which the matrix representing A is irreducible tridiagonal and the matrix representing A * is diagonal. (ii) There exists a basis for V with respect to which the matrix representing A is diagonal and the matrix representing A * is irreducible tridiagonal. Wecall such a pair a Leonard pair on V . In the appendix to [Linear Algebra Appl. 330 (2001), p. 149] we outlined a correspondence between Leonard pairs and a class of orthogonal polynomials consisting of the q -Racah polynomials and some related polynomials of the Askey scheme. We also outlined how, for the polynomials in this class, the 3-term recurrence, difference equation, Askey–Wilson duality, and orthogonality can be obtained in a uniform manner from the corresponding Leonard pair. The purpose of this paper is to provide proofs for the assertions which we made in that appendix.

O. Martio, V. Ryazanov, U. Srebro et al.

Yanghua Wang