This book provides a systematic introduction to smooth ergodic theory, including the general theory of Lyapunov exponents, nonuniform hyperbolic theory, stable manifold theory emphasizing absolute continuity of invariant foliations, and the ergodic theory of dynamical systems with nonzero Lyapunov exponents. The book can be used as a primary textbook for a special topics course on nonuniform hy...

The key element of Digital Alias-free Signal Processing (DASP) technology is the application of nonuniform sampling. In this case majority of the conventional signal processing algorithms cannot be directly applied. For the implementation of DASP, a set of new approaches was developed. The paper discusses several approaches suitable for spectral analysis of nonuniformly sampled signals. These i...

This paper deals with a joint nonuniform illumination estimation and blind deconvolution for barcode signals. Such optimization problems are highly non convex. A robust method is needed in case of noisy and/or blurred signals and nonuniform illumination. Here, we present a novel method based on a genetic algorithm combining discrete and continuous optimization which is successfully applied to d...

The finite-difference beam propagation method based on the Douglas scheme is extended to a nonuniform grid. The truncation error is reduced to ~ ( A z ) ~ , provided the grid growth factor is r = 1 + ~ ( A z ) , while maintaining a tridiagonal matrix. The numerical results show that the accuracy is improved as compared with that obtained from the conventional nonuniform Crank-Nicholson scheme. ...

......................................................................................................................... I Acknowledgments .......................................................................................................... II Author Declaration ........................................................................................................ IV Associated Publicati...

Graphene single layers grown by chemical vapor deposition on single crystal Cu substrates are subject to nonuniform physisorption strains that depend on the orientation of the Cu surface. The strains are revealed in Raman spectra and quantitatively interpreted by molecular dynamics (MD) simulations. An average compressive strain on the order of 0.5% is determined in graphene on Cu(111). In grap...

Gabardo and Nashed have studied nonuniform multiresolution analysis based on the theory of spectral pairs in a series of papers, see Refs. 4 and 5. Farkov,3 has extended the notion of multiresolution analysis on locally compact Abelian groups and constructed the compactly supported orthogonal p-wavelets on L(R+). We have considered the nonuniform multiresolution analysis on positive half-line. ...

Introduction: In traffic grooming, the lower bounds on the numbers of ADMs and wavelengths are important parameters in evaluating the grooming results. Although much work has been done on the grooming of traffic in WDM ring networks and the lower and upper bounds on the number of wavelengths and the upper bound on that of ADMs are relatively easy to derive, the lower bound on the number of ADMs...

A partial semi-coarsening multigrid method based on the high order compact (HOC) difference scheme on nonuniform grids is developed to solve the two dimensional (2D) convection-diffusion problems with boundary or internal layers. The significance of this study is that the multigrid method allows different number of grid points along different coordinate directions on nonuniform grids. Numerical...

In this paper we consider systems for demodulation/modulation which use periodically nonuniform sampling (of arbitrary order) of the bandpass signal to circumvent the carrier-frequency restrictions of uniform sampling. The design of a particular tapped-delay-line (demodulation) or piecewise-constant-impulseresponse (modulation) equivalent filter determines both the actual implementation filters...