We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra belongs to fully first class constraint system. The Abelian Chern-Simons theory with matter coupling is studied for the construction of anyon operators without ...

Mutually unbiased bases and discrete Wigner functions are closely, but not uniquely related. Such a connection becomes more interesting when the Hilbert space has a dimension that is a power of a primeN = d, which describes a composite system of n qudits. Hence, entanglement naturally enters the picture. Although our results are general, we concentrate on the simplest nontrivial example of dime...

Color quantization of still images can be easily stated as a clustering problem. Color quantization of sequences of images becomes a non-stationary Clustering problem. In this paper we propose a very simple and effective evolutive strategy to perform adaptively the computation of the color representatives for each image in the sequence. Salient features of the evolutive strategy proposed here a...

Spatial firing fields (place fields) of rat hippocampal cells undergo changes when the rat runs stereotyped routes. Previously, Mehta et al. [Experience-dependent asymmetric shape of hippocampal receptive fields, Neuron 25 (2000) 700–715] indicated that spike timingdependent plasticity (STDP) might explain the observed shift of the place field center of mass and the development of skewness. In ...

The optical sensor is composed of two eyesafe parallel laser beams operating at two different wavelengths (see Figure 1). When a vehicle passes in front of the sensor, the laser light is diffused on the surface of the vehicle. The diffused light is then focused on two photodetectors, one for each laser. We thus obtain two signals, x(t) and yet), which represent the fluctuations in time of the i...

We specify a class of Gaussian rank-r latent models for cross-covariance. We show by construction that any variance-covariance matrix for the observed variables induced by rank-r reduced-rank regression can be induced by a rank-r latent model. 1 Model specification Basic terms are introduced which will be used to state the result. 1.1 Rank-r constraint models Let p be the number of X-variables ...

in this paper, we dene and study two operators s and s with grill.characterization and basic properties of these operators are obtained. also,we generalize a grill topological spaces via topology  s induced from operatorss and s.

We consider the Bayesian approach to linear Gaussian inference problem of inferring initial condition a dynamical system from noisy output measurements taken after time. In practical applications, large dimension state poses computational obstacle computing exact posterior distribution. Model reduction offers variety tools that seek reduce this burden. particular, balanced truncation is system-...