Aggregation processes with an arbitrary number of conserved quantities are investigated. On the mean-field level, an exact solution for the size distribution is obtained. The asymp-totic form of this solution exhibits nontrivial " double " scaling. While processes with one conserved quantity are governed by a single scale, processes with multiple conservation laws exhibit an additional diffusio...

Previous work has explored the concept of music similarity measures and a variety of methods have been proposed for calculating such measures. This paper describes a system for music similarity which attempts to model and compare some of the more musically salient features of a set of audio signals. A model for timbre and a model for rhythm are implemented directly from previous work, and a mod...

We present the thermodynamics of two variations of the Interacting Partially Directed Self Avoiding Walk problem by discussing versions where the length of the walks assume real as well as a integral values. While the discrete model has been considered previously to varying degrees of success the continuous model we now define has not. The examination of the continuous model leads to the exact ...

The motivation and the challenge in applying the renormalization group for systems with several scaling regimes is briefly outlined. The four dimensional φ4 model serves as an example where a nontrivial low energy scaling regime is identified in the vicinity of the spinodal instability region. It is pointed out that the effective theory defined in the vicinity of the spinodal instability offers...

This paper is devoted to the asymptotic analysis of a coupled model arising in radiative transfer. The model consists of a kinetic equation satisfied by the specific intensity of radiation coupled to a diffusion equation satisfied by the material temperature. The interaction terms take into account both scattering and absorption/emission phenomena, as well as Doppler corrections. Two asymptotic...

Influence of uniaxial small-scale anisotropy and compressibility on the stability of scaling regime and on the anomalous scaling of structure functions of a scalar field is investigated in the model of a passive scalar field advected by the compressible Gaussian strongly anisotropic velocity field with the covariance ∝ δ(t − t ′)|x − x ′ | 2ε by using the field theoretic renormalization group a...

We obtain the spectral decomposition of four linear mappings. The first, Ie, is a mapping of the linear hull of all centered inner-product matrices onto the linear hull of all the induced squared-distance matrices. It is based on the natural generalization of the cosine law of elementary Euclidean geometry. The other three mappings studied are ,,1, the adjoint ,,*, and (" *)1. Extensions and ap...

We present a geometric approach for tonality analysis called symmetry model. To derive the symmetry model, Carol L.Krumhansl andE.J.Kessler’s toroidal Multi Dimensional Scaling (MDS) solution is separated into a key spanning and a key related component. While the key spanning component represents relationships betweendifferent keys, the key related component is suitable for the analysis of inne...

Synonyms Dual Scaling, optimal scaling, homogeneity analysis.

We consider magnetization dynamics under the influence of a spin-polarized current, given in terms of a spin-velocity field v, governed by the following modification of the Landau– Lifshitz–Gilbert equation ∂m ∂t + v · ∇m = m × (α ∂m ∂t + β v · ∇m − Δm), called the Landau– Lifshitz–Slonczewski equation. We focus on the situation of magnetizations defined on the entire Euclidean space m(t) : R3 ...