The limiting shape of the random Young tableaux associated to the inhomogeneous word problem is identified as a multidimensional Brownian functional. This functional is thus identical in law to the spectrum of a certain matrix ensemble. The Poissonized word problem is also studied, and the asymptotic behavior of the shape analyzed. AMS 2000 Subject Classification: 15A52, 60C05, 60F05, 60F17, 60...

We review the Manhattan product of digraphs from the viewpoint of spectral analysis and obtain some preliminary formulae. As an example, the spectrum of the Manhattan product of the directed path Pn and the directed cycle C2 is obtained as well as its asymptotic spectral distribution.

in this paper, we prove the strong uniform consistency and asymptotic normality of the kernel density estimator proposed by jones [12] for length-biased data.the approach is based on the invariance principle for the empirical processes proved by horváth [10]. all simulations are drawn for different cases to demonstrate both, consistency and asymptotic normality and the method is illustrated by ...

< 6 I d m-d m l2 a*s. [5] V.V. Prelov, " Asymptotic behavior of the capacity of a continuous channel with a large amount of noise, " Probl. [ll] A.J. Viterbi, " Very low rate convolutional codes for maximum theoretical performance of spread-spectrum multiple-access channels " , IEEE J.

We consider a class of unbounded self-adjoint operators including the Hamiltonian of the Jaynes-Cummings model without rotating-wave approximation (RWA). The corresponding operators are defined by infinite Jacobi matrices with discrete spectrum. Our purpose is to give an asymptotic description of large eigenvalues.

The evolution equation for high twist operators is solved in the Double Logarithmic Approximation for cylinder-type diagrams which dominate in the limit of large number of colors. The asymptotic behaviour of the parton correlation function is shown to be determined by the spectrum of the Ising model for a one-dimensional chain of spin-1/2 magnets.

We study the asymptotic of the spectrum of the spin c Dirac operator on high tensor powers of a line bundle. As application, we get a simple proof of the main result of Guillemin{Uribe 13, Theorem 2], which was originally proved by using the analysis of Toeplitz operators of Boutet de Monvel and Guillemin 10].

Absolute and convective instabilities of spirals are investigated using the continuous and the so-called absolute spectrum. It is shown that the nature of transport, induced by an absolute instability, is determined by spectral data of the asymptotic wave trains. The results are applied to core and far-field breakup of spiral waves in excitable and oscillatory media.

We give an alternative proof and improve upon a result of S.M. Kozlov [7]. It deals with the asymptotic of the integrated density of states of the acoustic operator Hω = −∇ρω∇, at the bottom of the spectrum. 2000 Mathematics Subject Classification :81Q10, 35P05, 37A30, 47F05.

The relation between Fourier spectra and spectra obtained from wavelet analysis is established. Small scale asymptotic analysis shows that the wavelet spectrum is meaningful only when the analysing wavelet has enough vanishing moments. We relate these results to regularity theorems in Besov spaces. For the analysis of innnitly regular signals, a new wavelet, with innnit number of cancellations ...