sigma06-097. 259KB Jun 04 2011 12:09:57 AM
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Moreover, a brief analysis of the proofs reveals that except an asymptotic quadruple inequality for geodesics in ( M, g ) and a central limit property for random walks no
In our previous paper [ 1 ] we found a class of quantum spin 1 2 XZ -type systems on the hyper- cubic lattice Z d with a Gibbsian ground state, characterized by the classical
In this section we describe a super-field representation of the dispersionless Boussinesq equa- tion; the system at hand admits two infinite sequences of commuting symmetries
It has been shown that the proposed approach generalizes the Fourier series in Hilbert space (Section 5.2.5 ), the Wiener filter, the Karhunen–Lo`eve transform (KLT) and the
As a result of application of the criterion of the non-integrability, based on presence of the internal mode in a soliton spectrum, it is shown that the regularized dispersive
This review is organised as follows. In the Section 2 we give the general algebraic setting for this approach. In the Section 3 several comments are made on the foundation of this
Section 3 introduces a box scheme model for problem ( 1 ), and existence and uniqueness of the solution of the approximating problem ( 12 ) is obtained from the fixed point theorem
Namely, it turns out that the lattices of the form ( 4 ) for the variables u and v coincide (after an appropriate substitution), and this allows to expand the equations onto the
