2 Locally Stationary Processes 2 2.1 Time-varying spectrum . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Locally stationary processes depending on a parameter . . . . . . . . . . . . 7 2.3 Local Cosine Approximations . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Pseudo-di erential Covariance Operators . . . . . . . . . . . . . . . . . . . . 11 2.5 Time-Varying Fi...

By Monte Carlo simulations in the canonical ensemble, we have studied the magnetic anisotropy in Fe/Dy amorphous multilayers. This work has been motivated by experimental results which show a clear correlation between the magnetic perpendicular anisotropy and the substrate temperature during elaboration of the samples. Our aim is to relate macroscopic magnetic properties of the multilayers to t...

Wave propagation can be manipulated at a deep subwavelength scale through the locally resonant metamaterial that possesses unusual effective material properties. Hyperlens due to metamaterial's anomalous anisotropy can lead to superior-resolution imaging. In this paper, a single-phase elastic metamaterial with strongly anisotropic effective mass density has been designed. The proposed metamater...

The soil is a heterogeneous and anisotropic medium. Hydraulic conductivity, an intrinsic property of natural alluvial deposits varies both deterministically and randomly in space and has different values in various directions. In the present study, the permeability of natural deposits and its influence on the seepage flow through a natural alluvial deposit is studied. The 2D Finite Difference c...

We synthesize and extend the previous ideas about appearance of both noncommutative and Finsler geometry in string theory with nonvanishing B–field and/or anholonomic (super) frame structures [42, 43, 48, 50]. There are investigated the limits to the Einstein gravity and string generalizations containing locally anisotropic structures modeled by moving frames. The relation of anholonomic frames...

Uniaxially anisotropic Heisenberg ferromagnet, in presence of a magnetic field varying sinusoidally in time, is studied by Monte Carlo simulation. The axial (field applied only along the direction of anisotropy) and off-axial (field applied only along the direction which is perpendicular to the direction of anisotropy) dynamic transitions are studied. By studying the distribution of dynamic ord...

[1] A hybrid method is developed for calculating synthetic seismograms for seismic waves propagating in two-dimensional localized heterogeneous anisotropic media. The hybrid method is a combination of analytic and numerical methods, with the numerical method (finite difference, or FD) applied in the heterogeneous anisotropic region only and the analytic method (generalized ray theory, or GRT) o...