sigma08-044. 236KB Jun 04 2011 12:10:16 AM
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In this case, Bessel functions of index α = p 2 − 1 come in as the radial parts of the complex exponential functions, and estimate ( 1 ) leads to limit theorems for radial
Abstract. The algebraic structure and the spectral properties of a special class of multi- component NLS equations, related to the symmetric spaces of BD.I -type are analyzed. The
Key words: Matrix valued process, Complex Wishart distribution, Trace processes, Largest and smallest eigenvalues, Propagation of chaos, Fluctuations of moments, Free
The bi-Hamiltonian structure of the two known vector generalizations of the mKdV hierarchy of soliton equations is derived in a geometrical fashion from flows of non- stretching
Hence the corresponding integrable equations may be considered as an intermediate case between generalized Thirring and (non-Abelian) Toda equation. 4.3.1 Case of second
Key words: invariant evolutions of curves; Hermitian symmetric spaces; Poisson brackets; differential invariants; projective differential invariants; equations of KdV type;
In this case the space-time filled with axially symmet- ric condensate proves to be a flat relativistically invariant Finslerian space with partially broken 3D isotropy, while
The nine-dimensional bound is sharp: normal forms for the contact-equivalence classes of these maximally symmetric generic hyperbolic equations are derived and explicit