This paper presents a procedure that constructs a Markovian Arrival Process (MAP) based on the mean, the squared coefficient of variation and the lag-1 autocorrelation of the inter-arrival times. This method always provides a valid MAP without posing any restrictions on the three input parameters. Besides matching these three parameters, it is possible to match the third moment of the inter-arr...

Consider a Hamiltonian action of a compact Lie group K on a compact symplectic manifold. We find descriptions of the kernel of the Kirwan map corresponding to a regular value of the moment map κK . We start with the case when K is a torus T : we determine the kernel of the equivariant Kirwan map (defined by Goldin in [Go]) corresponding to a generic circle S ⊂ T , and show how to recover from t...

Consider a Hamiltonian action of a compact Lie group K on a compact symplectic manifold. We find descriptions of the kernel of the Kirwan map corresponding to a regular value of the moment map κK . We start with the case when K is a torus T : we determine the kernel of the equivariant Kirwan map (defined by Goldin in [Go]) corresponding to a generic circle S ⊂ T , and show how to recover from t...

In this note we give the definition of the ”doubling operation” for simple polytopes, find the formula for the h-polynomial of new polytope. As an application of this operation we establish the relationship between moment-angle manifolds and their real analogues and prove the toral rank conjecture for moment-angle manifolds ZP . Let P be a simple n-dimensional polytope with m facets: P = {x ∈ R...

In this paper, a novel image compression scheme based on the moment preserving block truncation coding (MPBTC) scheme is proposed. In this scheme, three techniques are employed to cut down the bit rate of moment preserving block truncation coding. They are the two-dimensional prediction technique, the bit map omission technique, and the bit map coding using edge patterns. According to the exper...

We prove a generalization and give a new proof of a theorem of Borel-Harish-Chandra on closed orbits of linear actions of reductive groups. Consider a real reductive algebraic group G acting linearly and rationally on a real vector space V . G can be viewed as the real points of a complex reductive group G C which acts on V C := V ⊗ C. In [BHC62] it was shown that G · v ∩ V is a finite union of...

In this paper a theoretical framework for Bayesian adaptive learning of discrete HMM and semi continuous one with Gaussian mixture state observation densities is presented Corre sponding to the well known Baum Welch and segmental k means algorithms respectively for HMM training formulations of MAP maximum a posteriori and segmental MAP estima tion of HMM parameters are developed Furthermore a c...

We analyze in detail the equivariant supersymmetry of the G/G model. In spite of the fact that this supersymmetry does not model the infinitesimal action of the group of gauge transformations, localization can be established by standard arguments. The theory localizes onto reducible connections and a careful evaluation of the fixed point contributions leads to an alternative derivation of the V...